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Paper Citation Record · LEDGER

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints

As of 14 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 2 inbound Pith citation observations for arXiv:2509.02894.

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2509.02894 v1

Coverage vector

measured 67 of 67 reference resolution

Typed states for the displayed outbound observations.

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measured 69 of 69 standing notices

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measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:26:16.607464Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-12T10:51:31.681531Z

Reference resolution

67 of 67 outbound references displayed

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External citation measurements

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Outbound references

Observation da42bb11-992b-46da-8287-0ea1f590f03f · outbound

This paper cites Constrained model predictive control: Stability and optimality.Automatica, 36(6):789–814, 2000.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Constrained model predictive control: Stability and optimality.Automatica, 36(6):789–814, 2000

Reference 1

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Observation 9f6e483f-279a-4c5c-a516-293dedda8cf8 · outbound

This paper cites Model predictive control based on linear programming — the explicit solution.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Model predictive control based on linear programming — the explicit solution

Reference 2

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Observation 5140083a-30f1-4724-aa12-8081521f1b04 · outbound

This paper cites The explicit linear quadratic regulator for constrained systems.Automatica, 38(1):3–20, 2002.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints The explicit linear quadratic regulator for constrained systems.Automatica, 38(1):3–20, 2002

Reference 3

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Observation d5c9efe3-862b-4c04-afab-808d973bfa94 · outbound

This paper cites Input convex neural networks.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Input convex neural networks

Reference 4

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Observation 21aacf22-33f9-4ed2-8375-d651d741339c · outbound

This paper cites Neural network training as an optimal control problem—An augmented Lagrangian approach.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Neural network training as an optimal control problem—An augmented Lagrangian approach

Reference 5

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Observation 2a6e8130-d6ae-4993-ab32-5df6a7d4f74b · outbound

This paper cites Recurrent neural network training with convex loss and regularization func- tions by extended Kalman filtering.IEEE Transactions on Automatic Control, 68(9):5661–5668, 2022.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Recurrent neural network training with convex loss and regularization func- tions by extended Kalman filtering.IEEE Transactions on Automatic Control, 68(9):5661–5668, 2022

Reference 6

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Observation d4944b9d-3e7f-41c5-8efe-da226a2bf481 · outbound

This paper cites Training recurrent neural networks by sequential least squares and the alternating direction method of multipliers.Automatica, 156:111183, 2023.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Training recurrent neural networks by sequential least squares and the alternating direction method of multipliers.Automatica, 156:111183, 2023

Reference 7

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Observation fa7b9041-5d6b-4368-bd2d-21eb3c6248c6 · outbound

This paper cites Adeoye and Alberto Bemporad.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Adeoye and Alberto Bemporad

Reference 8

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Observation 12cf4445-d888-4304-a7e8-322ff4794610 · outbound

This paper cites An L-BFGS-B approach for linear and nonlinear system identification under ℓ1 and group-lasso regularization.IEEE Transactions on Automatic Control, 2025.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints An L-BFGS-B approach for linear and nonlinear system identification under ℓ1 and group-lasso regularization.IEEE Transactions on Automatic Control, 2025

Reference 9

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Observation 477c4e8b-06bd-4c0a-9929-fe22221bc74b · outbound

This paper cites Pattern recognition and machine learning, volume 4.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Pattern recognition and machine learning, volume 4

Reference 10

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Observation ec403dfd-2778-4d23-b823-fd3f0bf808a9 · outbound

This paper cites Springer, 2009.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Springer, 2009

Reference 11

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Observation 13466c6f-4c91-413a-bb3f-284dc25b461b · outbound

This paper cites Global portfolio optimization.Financial Analysts Journal, 48(5):28–43, 1992.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Global portfolio optimization.Financial Analysts Journal, 48(5):28–43, 1992

Reference 12

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Observation ba67f7d6-7222-44cc-820b-f9d1a4b0cb30 · outbound

This paper cites Optimization methods in finance.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Optimization methods in finance

Reference 13

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Observation 717b5ee7-0c51-477a-aca5-8b3b680a1147 · outbound

This paper cites Cambridge university press, 2004.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Cambridge university press, 2004

Reference 14

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Observation 8b222aea-f34c-4232-acac-35810cc0a719 · outbound

This paper cites The Design of Approximation Algorithms.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints The Design of Approximation Algorithms

Reference 15

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Observation 54c9959b-5cbb-4bc9-8872-953ee506ba67 · outbound

This paper cites Proximal point imitation learning.Advances in Neural Information Processing Systems, 35:24309–24326, 2022.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Proximal point imitation learning.Advances in Neural Information Processing Systems, 35:24309–24326, 2022

Reference 16

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Observation 621528db-54f0-4644-beb9-1c10ededb6ac · outbound

This paper cites Online learning in episodic Markovian decision processes by relative entropy policy search.Advances in neural information processing systems, 26, 2013.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Online learning in episodic Markovian decision processes by relative entropy policy search.Advances in neural information processing systems, 26, 2013

Reference 17

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Observation 8d72ffb0-2e11-4ee8-9faa-dd89e24ac193 · outbound

This paper cites Multiplier and gradient methods.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Multiplier and gradient methods

Reference 18

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Observation 81b93db0-fc03-4847-9dc8-d69bdcf75b7e · outbound

This paper cites A method for nonlinear constraints in minimization problems.Optimization, pages 283–298, 1969.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints A method for nonlinear constraints in minimization problems.Optimization, pages 283–298, 1969

Reference 19

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Observation 46df797a-ba7e-45fb-a337-8f07d7eb6474 · outbound

This paper cites Augmented Lagrangians and applications of the proximal point algorithm in convex programming.Mathematics of Operations Research, 1(2):97–116, 1976.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Augmented Lagrangians and applications of the proximal point algorithm in convex programming.Mathematics of Operations Research, 1(2):97–116, 1976

Reference 20

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Observation 340d9b4c-a0f4-4bf3-9878-0fd9059ce5c9 · outbound

This paper cites Monotone operators and the proximal point algorithm.SIAM Journal on Control and Optimization, 14(5):877–898, 1976.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Monotone operators and the proximal point algorithm.SIAM Journal on Control and Optimization, 14(5):877–898, 1976

Reference 21

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Observation cad62839-6328-4bf3-93df-cd4e2db9082b · outbound

This paper cites Rate of convergence analysis of decomposition methods based on the proximal method of multipliers for convex minimization.SIAM Journal on Optimization, 24(1):269–297, 2014.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Rate of convergence analysis of decomposition methods based on the proximal method of multipliers for convex minimization.SIAM Journal on Optimization, 24(1):269–297, 2014

Reference 22

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Observation 4ef3f5aa-850e-40cb-ab90-a674f8b830e4 · outbound

This paper cites An adaptive augmented Lagrangian method for large-scale constrained optimization.Mathematical Programming, 152(1):201–245, 2015.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints An adaptive augmented Lagrangian method for large-scale constrained optimization.Mathematical Programming, 152(1):201–245, 2015

Reference 23

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Observation ba7c3148-c5a6-4132-b3b4-a7c1ef49d2b8 · outbound

This paper cites On the numerical solution of heat conduction problems in two and three space variables.Transactions of the American Mathematical Society, 82(2):421– 439, 1956.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints On the numerical solution of heat conduction problems in two and three space variables.Transactions of the American Mathematical Society, 82(2):421– 439, 1956

Reference 24

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Observation ce97be5e-aefe-46be-91b1-879ae3ff4349 · outbound

This paper cites Society for Industrial and Applied Mathematics, 1989.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Society for Industrial and Applied Mathematics, 1989

Reference 25

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation a562416a-de7f-4f83-9e63-03f0e874f4ef · outbound

This paper cites Applications of a splitting algorithm to decomposition in convex programming and variational inequalities.SIAM Journal on Control and Optimization, 29(1):119–138, 1991.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Applications of a splitting algorithm to decomposition in convex programming and variational inequalities.SIAM Journal on Control and Optimization, 29(1):119–138, 1991

Reference 26

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Observation 56378e74-5319-4c1d-a2ff-44c37d99254f · outbound

This paper cites On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators

Reference 27

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 74bd8a8e-ebcf-41dc-8d96-d6011b845193 · outbound

This paper cites Aproximal-baseddecompositionmethodforconvexminimization problems.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Aproximal-baseddecompositionmethodforconvexminimization problems

Reference 28

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation a9352002-3fdc-4fe8-89e6-7d96a8f74e60 · outbound

This paper cites A first-order primal-dual algorithm for convex problems with applications to imaging.Journal of Mathematical Imaging and Vision, 40:120–145, 2011.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints A first-order primal-dual algorithm for convex problems with applications to imaging.Journal of Mathematical Imaging and Vision, 40:120–145, 2011

Reference 29

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Unavailable: canonical work link unavailable.

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Observation e987edc6-e8e4-4a17-abf3-fb784607aacb · outbound

This paper cites Bertsekas.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Bertsekas

Reference 30

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation d7d67182-1df9-4680-ac12-0e26d5f6b396 · outbound

This paper cites Monotone operators associated with saddle-functions and minimax prob- lems.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Monotone operators associated with saddle-functions and minimax prob- lems

Reference 31

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raw_fallback, observed 2026-08-05T11:25:15.210909Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 12cc9dd6-d314-491f-a497-44f67c1ad2f0 · outbound

This paper cites A practical relative error criterion for augmented La- grangians.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints A practical relative error criterion for augmented La- grangians

Reference 32

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Observation 3b4d4ee0-7499-48c1-8b7a-8ef9fb5b08d1 · outbound

This paper cites Augmented Lagrangians with constrained subproblems and convergence to second-order stationary points.Computational Optimization and Applications, 69(1):51–75, 2018.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Augmented Lagrangians with constrained subproblems and convergence to second-order stationary points.Computational Optimization and Applications, 69(1):51–75, 2018

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raw_fallback, observed 2026-08-05T11:25:15.192319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.198611Z digest=sha256:eb8924967e2d994dd0a3db853a1949b8a52475b840c2ce8e18aaca6745f12e7c

Observation 47296f8c-e32b-4a0c-a2f9-6d602849932e · outbound

This paper cites Complexity and performance of an augmented Lagrangian algorithm.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Complexity and performance of an augmented Lagrangian algorithm

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:15.182925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.201201Z digest=sha256:fd598c7b560ecde5aafbac969608e7bf41dacb14c953df48a493befd06d7c085

Observation 9bc6e4df-fbb6-49b8-a4a6-f203383ffa2c · outbound

This paper cites On the complexity of an augmented Lagrangian method for nonconvex optimization.IMA Journal of Numerical Analysis, 41(2):1546–1568, 2021.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints On the complexity of an augmented Lagrangian method for nonconvex optimization.IMA Journal of Numerical Analysis, 41(2):1546–1568, 2021

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:15.174404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.203791Z digest=sha256:14640c680fa3f5dc623b4851a6b0ffbbd4d6ff8c0dfe95071e036186f48c32f4

Observation 2d11ff8d-b71c-4a3f-a4c5-6ee2b254dea4 · outbound

This paper cites an unresolved cited work.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:25:15.164984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.206761Z digest=sha256:cb85df330607b37abf97aa3869182e849be9bd303fb0bc9639732a44d4151227

Observation 1725a7bc-5947-4116-aea4-2ec7615500be · outbound

This paper cites Combined primal-dual and penalty methods for constrained minimization.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Combined primal-dual and penalty methods for constrained minimization

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:15.073808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.209407Z digest=sha256:ae4f289facd1c4573d2c74c6d732d50f9e43ff42b5a1e8cdf91db5be7c79080b

Observation b7c119da-25ca-4349-8f1d-865075a2bd74 · outbound

This paper cites Multiplier methods: A survey.Automatica, 12(2):133–145, 1976.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Multiplier methods: A survey.Automatica, 12(2):133–145, 1976

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:14.936029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.211946Z digest=sha256:23d21232274d8cb5448366d31eb6566dbac6994c0e86ad183e19969f8e3566b9

Observation 69257278-1968-47c4-9c16-6cffdd3dec43 · outbound

This paper cites Iteration-complexity of first-order augmented La- grangian methods for convex programming.Mathematical Programming, 155(1):511–547, 2016.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Iteration-complexity of first-order augmented La- grangian methods for convex programming.Mathematical Programming, 155(1):511–547, 2016

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:14.811738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.214535Z digest=sha256:b594cc7e147219d9bfce9e186b34b7b4943c82a326ec9c0f92ed1943a940c21c

Observation e9eb1d3a-60b4-4af6-bc5d-07e1c8d30635 · outbound

This paper cites Adaptive inexact fast augmented La- grangian methods for constrained convex optimization.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Adaptive inexact fast augmented La- grangian methods for constrained convex optimization

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:14.675700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.217126Z digest=sha256:781ddf3d39b7c8b7e5ad54cabd404a27a754b521821c65b18151a858a7205d04

Observation b9f617be-ee03-4cdb-bb35-0db197503743 · outbound

This paper cites Complexity of first-order inexact La- grangian and penalty methods for conic convex programming.Optimization Methods and Soft- ware, 34(2):305–335, 2019.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Complexity of first-order inexact La- grangian and penalty methods for conic convex programming.Optimization Methods and Soft- ware, 34(2):305–335, 2019

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:14.546347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.219623Z digest=sha256:115a8e9eed43ea8c5185c44c4f1fdbdd8dee8e92de5735b263d651d026ae3687

Observation 737a315a-70ef-4eb9-9d0b-306df0305331 · outbound

This paper cites an unresolved cited work.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:25:14.415257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.222083Z digest=sha256:b7c2fb5df77794cc0367884565ce08f0effbb28029134858174a61ce40fa8bb2

Observation 53e4336c-497c-40db-afb5-7589cb6cb0cd · outbound

This paper cites Iteration complexity of inexact augmented Lagrangian methods for constrained convex programming.Mathematical Programming, 185(1):199–244, 2021.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Iteration complexity of inexact augmented Lagrangian methods for constrained convex programming.Mathematical Programming, 185(1):199–244, 2021

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:14.286595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.224606Z digest=sha256:fb2c87c86346fcf1decb003d22259b77dbf3525b74476e6ddeb10305dd7923ba

Observation 31b9e515-075c-486f-af99-b50cb274798e · outbound

This paper cites Iteration-complexity of first-order augmented Lagrangian methods for convex conic programming.SIAM Journal on Optimization, 33(2):1159–1190, 2023.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Iteration-complexity of first-order augmented Lagrangian methods for convex conic programming.SIAM Journal on Optimization, 33(2):1159–1190, 2023

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:14.167482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.227349Z digest=sha256:c1cc96aceb68ad22dade8c9449b4c2d597c7b8910ed997ce71552ba4876631a9

Observation 56297edd-2ff0-455d-96ff-cb7f675b51b3 · outbound

This paper cites An inexactaugmentedLagrangianframeworkfornonconvexoptimizationwithnonlinearconstraints.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints An inexactaugmentedLagrangianframeworkfornonconvexoptimizationwithnonlinearconstraints

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:14.059864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.229771Z digest=sha256:b87b8f71a7ca2d7a0c02a46c82684489d315118c1059f14881a952a3362a991b

Observation a22dc667-26b7-4f09-a4f2-a2852a609a55 · outbound

This paper cites Rate-improved inexact augmented lagrangian method for constrained nonconvex optimization.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Rate-improved inexact augmented lagrangian method for constrained nonconvex optimization

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:13.945109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.232310Z digest=sha256:d3967c74e1f41ae0c8711c08369dac6cddf082a438682b84f61288a917143ac6

Observation 2c356f9b-fe19-42bd-90d7-21ac21fb58a7 · outbound

This paper cites The inexact power augmented Lagrangian method for constrained nonconvex optimization.arXiv preprint arXiv:2410.20153, 2024.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints The inexact power augmented Lagrangian method for constrained nonconvex optimization.arXiv preprint arXiv:2410.20153, 2024

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Resolution
verified exact
raw_fallback, observed 2026-08-05T11:25:11.405895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.238005Z digest=sha256:a83b3e1031b4fbf68ae84fb161f3278c2599d538ab7696f947f3ca0e36582b7d

Observation c9c84b24-2ec9-45d0-afc0-3c0d47f06233 · outbound

This paper cites Lower Complexity Bounds of First-Order Methods for Affinely Constrained Composite Nonconvex Problems.Mathematics of Operations Research, 2025.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Lower Complexity Bounds of First-Order Methods for Affinely Constrained Composite Nonconvex Problems.Mathematics of Operations Research, 2025

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:13.747413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.240476Z digest=sha256:603924f8ab2fe3782c749d7c98755ae86dfb5100563b4a5552e7ef70c8b219f9

Observation 32dc7050-2984-4f03-b8c2-494b3b252df1 · outbound

This paper cites A globally convergent augmented La- grangian algorithm for optimization with general constraints and simple bounds.SIAM Journal on Numerical Analysis, 28(2):545–572, 1991.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints A globally convergent augmented La- grangian algorithm for optimization with general constraints and simple bounds.SIAM Journal on Numerical Analysis, 28(2):545–572, 1991

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:13.630915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.243014Z digest=sha256:61bcfd1a49bd608785553f7b2b21f04937288d0f6d92de86a229a6906af37ee3

Observation c7fc602a-67e6-4d0f-9723-e632eddff332 · outbound

This paper cites Convergence properties of an augmented Lagrangian algorithm for optimization with a combination of general equality and linear constraints.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Convergence properties of an augmented Lagrangian algorithm for optimization with a combination of general equality and linear constraints

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:13.503483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.245633Z digest=sha256:65bb2651101c4626866dd4dd938f8265e7249e95f0c5b4b5e6e31912022d2ee1

Observation b04e8320-0f7b-4d86-847c-a5c9d7064f88 · outbound

This paper cites On augmented Lagrangian methods with general lower-level constraints.SIAM Journal on Opti- mization, 18(4):1286–1309, 2008.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints On augmented Lagrangian methods with general lower-level constraints.SIAM Journal on Opti- mization, 18(4):1286–1309, 2008

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:13.401796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.248340Z digest=sha256:e223ef58b39adca08cf5f4f2ae8108d1cc3a6e7431080d179b152469a69d1ef1

Observation 0ea20d37-b726-4418-9b6d-5b1662e26c3a · outbound

This paper cites A proximal alternating direction method of multiplier for linearly constrained nonconvex minimization.SIAM Journal on Optimization, 30(3):2272–2302, 2020.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints A proximal alternating direction method of multiplier for linearly constrained nonconvex minimization.SIAM Journal on Optimization, 30(3):2272–2302, 2020

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:13.281905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.251006Z digest=sha256:865ccca8347b2e8a360ddc6944efbf38cc31ec25beffc086f2a2c3e67427b76a

Observation eae1c8e9-1cba-4a41-af5c-c86cbaeb0143 · outbound

This paper cites A global dual error bound and its application to the analysis of linearly constrained nonconvex optimization.SIAM Journal on Optimization, 32(3):2319–2346, 2022.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints A global dual error bound and its application to the analysis of linearly constrained nonconvex optimization.SIAM Journal on Optimization, 32(3):2319–2346, 2022

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:13.049851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.253518Z digest=sha256:4d9f184c355863ebed1484c859364dd36ffd1a2993d86afe818ecb103efeb17a

Observation 9a07d1b8-dbcc-4be1-95a2-db057a2fcb31 · outbound

This paper cites Complexity of proximal augmented Lagrangian for nonconvex optimization with nonlinear equality constraints.Journal of Scientific Computing, 86:1–30, 2021.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Complexity of proximal augmented Lagrangian for nonconvex optimization with nonlinear equality constraints.Journal of Scientific Computing, 86:1–30, 2021

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:12.827616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.256123Z digest=sha256:af1de40aba4e94546ccdc701006c751a19e86962e5f70d5cdd5f2da8377e5eee

Observation 57f841e1-7b3a-4bce-803c-de1985c3fe39 · outbound

This paper cites Prox-PDA: The proximal primal-dual algorithm for fast distributed nonconvex optimization and learning over networks.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Prox-PDA: The proximal primal-dual algorithm for fast distributed nonconvex optimization and learning over networks

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:12.693256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.258697Z digest=sha256:c230021a73c111672b4cfda47f490d2529881e76012943aa42167e3a0a89e538

Observation 4924fc56-eb32-4814-9064-d27818615f42 · outbound

This paper cites Structured nonconvex and nonsmooth optimization: algorithms and iteration complexity analysis.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Structured nonconvex and nonsmooth optimization: algorithms and iteration complexity analysis

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:12.550668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.261294Z digest=sha256:3bb9b2810c8950ac6ecf815ddbb79b15827361e9474df9dbecb3f1bac3074b5b

Observation 197fc2dc-af04-4e0f-a084-34c2d549a20f · outbound

This paper cites Perturbed proximal primal-dual algorithm for nonconvex nonsmooth optimization.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Perturbed proximal primal-dual algorithm for nonconvex nonsmooth optimization

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:12.434295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.263825Z digest=sha256:6f89fef5ca83b255ff1e61747bf9e38d4dcab66cd15684bbe6da794df4dbce7d

Observation e166b24d-3978-4940-a56f-b1fb92e60290 · outbound

This paper cites Theproximalalternatingdirectionmethodofmultipliers in the nonconvex setting: convergence analysis and rates.Mathematics of Operations Research, 45(2):682–712, 2020.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Theproximalalternatingdirectionmethodofmultipliers in the nonconvex setting: convergence analysis and rates.Mathematics of Operations Research, 45(2):682–712, 2020

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:12.288450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.266290Z digest=sha256:1e2743a570c85851b65fe03a6f95c939e074540152c7f8d4c06d8483254b29cc

Observation b1a5a070-285c-4d31-9c5e-25166e52d0e5 · outbound

This paper cites An adaptive superfast inexact proximal augmented Lagrangianmethodforsmoothnonconvexcompositeoptimizationproblems.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints An adaptive superfast inexact proximal augmented Lagrangianmethodforsmoothnonconvexcompositeoptimizationproblems

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:12.139979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.269024Z digest=sha256:93f738799717fa6b38286c65f020f8d002b6955de3d1d5860500a44c5d397cd5

Observation 34112233-b15b-4fb1-8295-b42759346e54 · outbound

This paper cites Iteration complexity of an inner accelerated inexact proximal augmented Lagrangian method based on the classical Lagrangian function.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Iteration complexity of an inner accelerated inexact proximal augmented Lagrangian method based on the classical Lagrangian function

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:12.026994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.271729Z digest=sha256:71c8e69889f178892a338fdbc604a1aab1310e976c2aeb8c698b79183c392de3

Observation fbc25a61-ae90-4706-85bd-baaccb4e0329 · outbound

This paper cites QPALM: A proximal augmented La- grangian method for nonconvex quadratic programs.Mathematical Programming Computation, 14(3):497–541, 2022.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints QPALM: A proximal augmented La- grangian method for nonconvex quadratic programs.Mathematical Programming Computation, 14(3):497–541, 2022

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:11.918056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.274363Z digest=sha256:da9a85cafd405e1eb68888e535b3f326d8000ba59bf166f072eddcf6f7c9f731

Observation 80b0d46c-efa5-4269-bbf6-ef75f1240358 · outbound

This paper cites A repository of convex quadratic programming problems.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints A repository of convex quadratic programming problems

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:11.815297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.277053Z digest=sha256:7fbc3e61c443aa520ed4b485a42ef7262024007047bf9a61f9c2dd7a52a2e26c

Observation b02f42fe-dab3-4aea-8867-aab2dbd35cd4 · outbound

This paper cites Atomic decomposition by basis pursuit.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Atomic decomposition by basis pursuit

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Resolution
unresolved
no resolver link, observed 2026-08-05T11:25:11.279632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T11:25:11.279632Z digest=sha256:4b9de06cc82247e9790ef26968aa4cb5d074424880bffe026b572b3475175c0f

Observation 10288283-16d1-48ed-97f6-11e99890b231 · outbound

This paper cites Conn, Nicholas I.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Conn, Nicholas I

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:11.687694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.282244Z digest=sha256:101d662505f7e0326733ceb457813f7ee2cb82ed2f16f6d2c78a0d9745c7cfba

Observation 6fc24594-925b-4bc1-9f3c-393339ebf587 · outbound

This paper cites A simple and efficient algorithm for nonlinear model predictive control.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints A simple and efficient algorithm for nonlinear model predictive control

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:11.576856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.285232Z digest=sha256:0707ddcb9ab1c553567f439b9c5e19757456080f41fc8c357dd0f6af7e6d8de1

Observation 2ce66012-9973-4329-ac08-618b137458bf · outbound

This paper cites Alpaqa: A matrix-free solver for nonlinear MPC and large-scale nonconvex optimization.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Alpaqa: A matrix-free solver for nonlinear MPC and large-scale nonconvex optimization

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:11.451329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.287811Z digest=sha256:0baa35c18a3f904ba95a2a048047d65612a2c96192d342c573ea388a4e5d3f6b

Observation 4367cca0-0d9d-4c98-8564-f577273bc193 · outbound

This paper cites an unresolved cited work.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Unresolved cited work

Reference 2178

Resolution
parse uncertain
raw_fallback, observed 2026-08-05T11:25:13.853136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T11:25:11.235392Z digest=sha256:a1e3929a49a6f6c50a12b7eb093fc066b370c2e5887a37740d98d844f84e654c

Pith citing papers

Observation 38959ceb-cff4-46d8-ae77-4f8cb9d8ed9b · inbound

A Proximal Augmented Lagrangian Method Based on Quadratic Approximations for Weakly Convex Optimization cites this paper.

A Proximal Augmented Lagrangian Method Based on Quadratic Approximations for Weakly Convex Optimization A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-12T10:51:31.684924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-07T15:48:17.246542Z digest=sha256:a3fabc9dde1473deafd9b688cc35831a3db0a485a647bc9d389cac7cd375a7f6

Observation b5ec6dfb-1dbd-4751-a107-60528082d1e1 · inbound

Optimal Nonergodic Primal-Dual Complexity of Efficient Inexact Parameter-Free Augmented Lagrangian Methods cites this paper.

Optimal Nonergodic Primal-Dual Complexity of Efficient Inexact Parameter-Free Augmented Lagrangian Methods A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-11T04:26:16.607464Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T04:26:16.607464Z digest=sha256:c64c4f685036ae4fb12aba3b8a4f56f9eee476d2bf5837a2f826e2e04fdc8ff8