Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T11:25:11.287811Z
Paper Citation Record · LEDGER
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.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T11:25:11.287811Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-11T04:26:16.607464Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-12T10:51:31.681531Z
67 of 67 outbound references displayed
External citation measurements
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Observation da42bb11-992b-46da-8287-0ea1f590f03f · outbound
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
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
Source-reported events for the cited work
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Observation 5140083a-30f1-4724-aa12-8081521f1b04 · outbound
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
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.
Observation d5c9efe3-862b-4c04-afab-808d973bfa94 · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Input convex neural networks
Reference 4
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.
Observation 21aacf22-33f9-4ed2-8375-d651d741339c · outbound
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
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.
Observation 2a6e8130-d6ae-4993-ab32-5df6a7d4f74b · outbound
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
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.
Observation d4944b9d-3e7f-41c5-8efe-da226a2bf481 · outbound
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
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.
Observation fa7b9041-5d6b-4368-bd2d-21eb3c6248c6 · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Adeoye and Alberto Bemporad
Reference 8
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.
Observation 12cf4445-d888-4304-a7e8-322ff4794610 · outbound
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
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.
Observation 477c4e8b-06bd-4c0a-9929-fe22221bc74b · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Pattern recognition and machine learning, volume 4
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ec403dfd-2778-4d23-b823-fd3f0bf808a9 · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Springer, 2009
Reference 11
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.
Observation 13466c6f-4c91-413a-bb3f-284dc25b461b · outbound
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
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.
Observation ba67f7d6-7222-44cc-820b-f9d1a4b0cb30 · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Optimization methods in finance
Reference 13
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.
Observation 717b5ee7-0c51-477a-aca5-8b3b680a1147 · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Cambridge university press, 2004
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8b222aea-f34c-4232-acac-35810cc0a719 · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints The Design of Approximation Algorithms
Reference 15
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.
Observation 54c9959b-5cbb-4bc9-8872-953ee506ba67 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 621528db-54f0-4644-beb9-1c10ededb6ac · outbound
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
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.
Observation 8d72ffb0-2e11-4ee8-9faa-dd89e24ac193 · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Multiplier and gradient methods
Reference 18
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.
Observation 81b93db0-fc03-4847-9dc8-d69bdcf75b7e · outbound
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
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.
Observation 46df797a-ba7e-45fb-a337-8f07d7eb6474 · outbound
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
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.
Observation 340d9b4c-a0f4-4bf3-9878-0fd9059ce5c9 · outbound
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
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.
Observation cad62839-6328-4bf3-93df-cd4e2db9082b · outbound
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
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.
Observation 4ef3f5aa-850e-40cb-ab90-a674f8b830e4 · outbound
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
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.
Observation ba7c3148-c5a6-4132-b3b4-a7c1ef49d2b8 · outbound
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
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.
Observation ce97be5e-aefe-46be-91b1-879ae3ff4349 · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Society for Industrial and Applied Mathematics, 1989
Reference 25
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.
Observation a562416a-de7f-4f83-9e63-03f0e874f4ef · outbound
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
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.
Observation 56378e74-5319-4c1d-a2ff-44c37d99254f · outbound
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
Source-reported events for the cited work
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Observation 74bd8a8e-ebcf-41dc-8d96-d6011b845193 · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Aproximal-baseddecompositionmethodforconvexminimization problems
Reference 28
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.
Observation a9352002-3fdc-4fe8-89e6-7d96a8f74e60 · outbound
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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Observation e987edc6-e8e4-4a17-abf3-fb784607aacb · outbound
Reference 30
Source-reported events for the cited work
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Observation d7d67182-1df9-4680-ac12-0e26d5f6b396 · outbound
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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Observation 12cc9dd6-d314-491f-a497-44f67c1ad2f0 · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints A practical relative error criterion for augmented La- grangians
Reference 32
Source-reported events for the cited work
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Observation 3b4d4ee0-7499-48c1-8b7a-8ef9fb5b08d1 · outbound
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
Reference 33
Source-reported events for the cited work
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Observation 47296f8c-e32b-4a0c-a2f9-6d602849932e · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Complexity and performance of an augmented Lagrangian algorithm
Reference 34
Source-reported events for the cited work
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Observation 9bc6e4df-fbb6-49b8-a4a6-f203383ffa2c · outbound
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
Reference 35
Source-reported events for the cited work
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Observation 2d11ff8d-b71c-4a3f-a4c5-6ee2b254dea4 · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Unresolved cited work
Reference 36
Source-reported events for the cited work
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Observation 1725a7bc-5947-4116-aea4-2ec7615500be · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Combined primal-dual and penalty methods for constrained minimization
Reference 37
Source-reported events for the cited work
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Observation b7c119da-25ca-4349-8f1d-865075a2bd74 · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Multiplier methods: A survey.Automatica, 12(2):133–145, 1976
Reference 38
Source-reported events for the cited work
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Observation 69257278-1968-47c4-9c16-6cffdd3dec43 · outbound
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
Reference 39
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Observation e9eb1d3a-60b4-4af6-bc5d-07e1c8d30635 · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Adaptive inexact fast augmented La- grangian methods for constrained convex optimization
Reference 40
Source-reported events for the cited work
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Observation b9f617be-ee03-4cdb-bb35-0db197503743 · outbound
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
Source-reported events for the cited work
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Observation 737a315a-70ef-4eb9-9d0b-306df0305331 · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Unresolved cited work
Reference 42
Source-reported events for the cited work
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Observation 53e4336c-497c-40db-afb5-7589cb6cb0cd · outbound
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
Reference 43
Source-reported events for the cited work
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Observation 31b9e515-075c-486f-af99-b50cb274798e · outbound
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
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Observation 56297edd-2ff0-455d-96ff-cb7f675b51b3 · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints An inexactaugmentedLagrangianframeworkfornonconvexoptimizationwithnonlinearconstraints
Reference 45
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Observation a22dc667-26b7-4f09-a4f2-a2852a609a55 · outbound
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
Source-reported events for the cited work
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Observation 2c356f9b-fe19-42bd-90d7-21ac21fb58a7 · outbound
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
Reference 47
Source-reported events for the cited work
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Observation c9c84b24-2ec9-45d0-afc0-3c0d47f06233 · outbound
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
Reference 48
Source-reported events for the cited work
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Observation 32dc7050-2984-4f03-b8c2-494b3b252df1 · outbound
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
Reference 49
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Observation c7fc602a-67e6-4d0f-9723-e632eddff332 · outbound
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
Reference 50
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Observation b04e8320-0f7b-4d86-847c-a5c9d7064f88 · outbound
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
Reference 51
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Observation 0ea20d37-b726-4418-9b6d-5b1662e26c3a · outbound
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
Reference 52
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Observation eae1c8e9-1cba-4a41-af5c-c86cbaeb0143 · outbound
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
Reference 53
Source-reported events for the cited work
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Observation 9a07d1b8-dbcc-4be1-95a2-db057a2fcb31 · outbound
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
Reference 54
Source-reported events for the cited work
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Observation 57f841e1-7b3a-4bce-803c-de1985c3fe39 · outbound
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
Reference 55
Source-reported events for the cited work
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Observation 4924fc56-eb32-4814-9064-d27818615f42 · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Structured nonconvex and nonsmooth optimization: algorithms and iteration complexity analysis
Reference 56
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Observation 197fc2dc-af04-4e0f-a084-34c2d549a20f · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Perturbed proximal primal-dual algorithm for nonconvex nonsmooth optimization
Reference 57
Source-reported events for the cited work
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Observation e166b24d-3978-4940-a56f-b1fb92e60290 · outbound
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
Reference 58
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Observation b1a5a070-285c-4d31-9c5e-25166e52d0e5 · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints An adaptive superfast inexact proximal augmented Lagrangianmethodforsmoothnonconvexcompositeoptimizationproblems
Reference 59
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Observation 34112233-b15b-4fb1-8295-b42759346e54 · outbound
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
Reference 60
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Observation fbc25a61-ae90-4706-85bd-baaccb4e0329 · outbound
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
Reference 61
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Observation 80b0d46c-efa5-4269-bbf6-ef75f1240358 · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints A repository of convex quadratic programming problems
Reference 62
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Observation b02f42fe-dab3-4aea-8867-aab2dbd35cd4 · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Atomic decomposition by basis pursuit
Reference 63
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Observation 10288283-16d1-48ed-97f6-11e99890b231 · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Conn, Nicholas I
Reference 64
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Observation 6fc24594-925b-4bc1-9f3c-393339ebf587 · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints A simple and efficient algorithm for nonlinear model predictive control
Reference 65
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Observation 2ce66012-9973-4329-ac08-618b137458bf · outbound
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
Reference 66
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Observation 4367cca0-0d9d-4c98-8564-f577273bc193 · outbound
A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Unresolved cited work
Reference 2178
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Observation 38959ceb-cff4-46d8-ae77-4f8cb9d8ed9b · inbound
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
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Observation b5ec6dfb-1dbd-4751-a107-60528082d1e1 · inbound
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
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