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Paper Citation Record · LEDGER

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization

As of 21 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 0 inbound Pith citation observations for arXiv:2508.20280.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2508.20280 v1

Coverage vector

measured 55 of 55 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:56:51.782047Z

measured 55 of 55 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

55 of 55 outbound references displayed

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  • verified fuzzy45
  • unresolved8
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f576d6fc-ff46-4a86-8e93-7fc386bf1497 · outbound

This paper cites Abbott and Richard P.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Abbott and Richard P

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 0f671b67-230d-4d5b-adcf-0f5883196f52 · outbound

This paper cites A differential-equations algorithm for nonlinear equations.ACM Transactions on Mathematical Software (TOMS), 10(3):299–316,.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization A differential-equations algorithm for nonlinear equations.ACM Transactions on Mathematical Software (TOMS), 10(3):299–316,

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 1917d281-6c8e-4528-9f6d-a7b3c437ca10 · outbound

This paper cites On the Minimizing Property of a Second Order Dissipative System in Hilbert Spaces.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization On the Minimizing Property of a Second Order Dissipative System in Hilbert Spaces

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation a4168248-6ccb-43cf-8806-dd79724623af · outbound

This paper cites Natural gradient works efficiently in learning.Neural computation, 10(2):251– 276, 1998.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Natural gradient works efficiently in learning.Neural computation, 10(2):251– 276, 1998

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 3c7d4d38-88da-4faa-af85-c991a1b501b1 · outbound

This paper cites Anderson, J.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Anderson, J

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 8057b299-d935-4d61-990a-8e0cb6488fad · outbound

This paper cites Implicit-explicit methods for time- dependent partial differential equations.SIAM Journal on Numerical Analysis, 32(3):797–823,.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Implicit-explicit methods for time- dependent partial differential equations.SIAM Journal on Numerical Analysis, 32(3):797–823,

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation e15555f1-bc3c-4130-9188-72bbc4a4dd18 · outbound

This paper cites Attouch, X.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Attouch, X

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation b3b92cc2-4b38-4e97-a7c8-dd5c3899817d · outbound

This paper cites Chung, and John C.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Chung, and John C

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.499576Z digest=sha256:7daf9b0ef1d2810dfef5583e8a6a2af70e3901cc8575fd051f58d85bcf747221

Observation 259f6d1b-857e-4b65-91bb-8b727f74284f · outbound

This paper cites Bertsekas.Constrained Optimization and Lagrange Multiplier Methods.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Bertsekas.Constrained Optimization and Lagrange Multiplier Methods

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation c48edbc7-12a0-4180-beac-9d62ef438291 · outbound

This paper cites LinearlyImplicitIMEXRunge– Kutta Methods for a Class of Degenerate Convection-Diffusion Problems.SIAM Journal on Scientific Computing, 37(2):B305–B331, 2015.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization LinearlyImplicitIMEXRunge– Kutta Methods for a Class of Degenerate Convection-Diffusion Problems.SIAM Journal on Scientific Computing, 37(2):B305–B331, 2015

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation bb51064f-2457-4f9b-8760-e9c8e4d753be · outbound

This paper cites Boscarino, F.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Boscarino, F

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 9c5319c2-a433-42de-b9be-002da19451b8 · outbound

This paper cites Differential gradient methods.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Differential gradient methods

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation b2bba4e8-69f4-4894-bdec-4421cd08aa28 · outbound

This paper cites an unresolved cited work.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Unresolved cited work

Reference 13

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 5e82f6e0-baef-46c9-b163-78d55bfd14c7 · outbound

This paper cites Brune, Matthew G.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Brune, Matthew G

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation cc1af7ee-c2bb-4a1b-8511-5f88825fd957 · outbound

This paper cites A New Class of Runge-Kutta Methods for Nonlinearly Partitioned Systems.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization A New Class of Runge-Kutta Methods for Nonlinearly Partitioned Systems

Reference 15

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation e738207c-a6ad-440a-919d-b2076f308aac · outbound

This paper cites Calvo, J.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Calvo, J

Reference 16

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.545639Z digest=sha256:4e1a64fbdc72e9076ab3dcdc8325a51e0949789ba6883811e4a804a6da2064f9

Observation fc08b4dd-f62e-4473-9dab-8ff7f7152f0b · outbound

This paper cites Woodhead Publishing Series in Energy.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Woodhead Publishing Series in Energy

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.550699Z digest=sha256:c3fbc6a1381ba9e835953973ddea14970c4f07fc6ebbbbd339fa2fa7f0b0c88c

Observation bfe14299-e51c-4e83-92d6-7e95b048e646 · outbound

This paper cites Iterativepre-conditioningtoexpedite the gradient-descent method.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Iterativepre-conditioningtoexpedite the gradient-descent method

Reference 18

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.556007Z digest=sha256:953c975b097832a67f5e078100a24a2ec0edff0664036670bd6584ff8f7bce6f

Observation 0e7288e4-e18d-4eb9-9700-def3cb62c204 · outbound

This paper cites Alvarez D.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Alvarez D

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.524819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 2f651d29-36ec-4061-a3d6-6f3e2f185492 · outbound

This paper cites A geometric integration approach to smooth optimization: foundations of the discrete gradient method.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization A geometric integration approach to smooth optimization: foundations of the discrete gradient method

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.505666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation db386d1e-1ebc-4079-8a27-94b73bc0f3e9 · outbound

This paper cites an unresolved cited work.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:56:52.487315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.574089Z digest=sha256:9ef5f8dd1cde743ff791e506f42bfdbaacd1d6f5449cba3dca0e045ba272bc90

Observation cb6180e5-226f-4446-bd81-e592677d16e4 · outbound

This paper cites Giles and Endre Süli.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Giles and Endre Süli

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.470497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 4f9f744e-873a-475b-9aae-0bc968e0de19 · outbound

This paper cites An inverse source problem in radiative transfer with partial data.Inverse Problems, 27(12):125009, 2011.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization An inverse source problem in radiative transfer with partial data.Inverse Problems, 27(12):125009, 2011

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.452694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 39608393-940e-40d2-8ec8-dcd4018ee3e4 · outbound

This paper cites Matlab version: R2024a, 2024.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Matlab version: R2024a, 2024

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.434560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.590013Z digest=sha256:bc2d25789070bd3e3e84443e667622322d72347f9c3a384aa402fa8d6804b1f3

Observation c3d68f3d-e52f-4469-940d-c7f1e5bbe48c · outbound

This paper cites A New Method for Solving Nonlinear Simultaneous Equations.SIAM Journal on Numerical Analysis, 16(5):779–789, 1979.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization A New Method for Solving Nonlinear Simultaneous Equations.SIAM Journal on Numerical Analysis, 16(5):779–789, 1979

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.417691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 39f99c8e-5acc-4f25-a067-8affe3b8b327 · outbound

This paper cites An Almost-Linear- Time Algorithm for Approximate Max Flow in Undirected Graphs, and its Multicommodity Generalizations.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization An Almost-Linear- Time Algorithm for Approximate Max Flow in Undirected Graphs, and its Multicommodity Generalizations

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.400336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 7db532fd-7062-4629-a448-df91218e17a5 · outbound

This paper cites Kulkarni, David M.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Kulkarni, David M

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.383494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.610839Z digest=sha256:8a9cb367fe4878ac40e261cfe70866550ab3ed8f34c8f00e7941be806cb635cd

Observation de385208-147d-4651-98b2-4dbd9cf630cf · outbound

This paper cites A grey transport acceleration method far time-dependent radiative transfer problems.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization A grey transport acceleration method far time-dependent radiative transfer problems

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.364943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 98fe5292-d43a-40dd-9a14-7adff1eb435f · outbound

This paper cites On inertial Levenberg-Marquardt type methods for solving nonlinear ill-posed operator equations.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization On inertial Levenberg-Marquardt type methods for solving nonlinear ill-posed operator equations

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-15T16:56:51.869157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 1f2722f0-893e-42eb-ae9d-9bd76bd5a1e3 · outbound

This paper cites A method for the solution of certain non-linear problems in least squares.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization A method for the solution of certain non-linear problems in least squares

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.345743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.630943Z digest=sha256:3a6eea29d7774dce5262a9fd9f5c1d553113948c49881e0571263834a6b45f72

Observation 74144257-5c53-4e30-99d6-9d7b8c538ed7 · outbound

This paper cites Li and L.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Li and L

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.328323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.637907Z digest=sha256:806a5ac4c2242f9f159b25ee39c7040b6e681999fb5deda90deafac205442616

Observation 64689dc1-5909-4858-8557-6448634179fb · outbound

This paper cites Preconditioned stochastic gradient descent.IEEE Transactions on Neural Networks and Learning Systems, 29(5):1454–1466, 2018.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Preconditioned stochastic gradient descent.IEEE Transactions on Neural Networks and Learning Systems, 29(5):1454–1466, 2018

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.307856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.647451Z digest=sha256:e39f0fa520687b18f58d74c538e6591ddbb3a70c9a1847721b0ede9610922356

Observation eade086d-8ad4-4c73-a413-c96a910afe0e · outbound

This paper cites From differential equation solvers to accelerated first-order methods for convex optimization.Mathematical Programming, 195(1-2):735–781, 2022.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization From differential equation solvers to accelerated first-order methods for convex optimization.Mathematical Programming, 195(1-2):735–781, 2022

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.290969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.654038Z digest=sha256:42d8f33266549c639339972b36d1c793f60f2e89919a4159d525e3e88e3701cd

Observation b27ab9fd-d6e1-44c7-b14b-ec76f00e5b92 · outbound

This paper cites Maddison, Daniel Paulin, Yee Whye Teh, and Arnaud Doucet.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Maddison, Daniel Paulin, Yee Whye Teh, and Arnaud Doucet

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.272711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.660148Z digest=sha256:3d8bde1102ca30a5dab809fb7f3c81f9df9909175e6f8d256643e5ff5aa1727d

Observation 032dacda-7da8-49ae-a7ba-92d8feeaaf04 · outbound

This paper cites Marquardt.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Marquardt

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.253014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.665816Z digest=sha256:c22a23b923e07bf81be40728b91014d75a069ea27d9ff36246c791fd5a0c940f

Observation 63c9de48-0893-46a8-aa57-55f33d1f669a · outbound

This paper cites (Page 19).

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization (Page 19)

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.236106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.672322Z digest=sha256:3f97d9fab0862b3c12621d3eab7679861d587edffe37cbf097b9b8ac1586d5cf

Observation 77863752-3932-4685-aadc-04f9b4da9df6 · outbound

This paper cites Nesterov.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Nesterov

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.218033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.678862Z digest=sha256:5d0343f5d8f35d6ff5c9dca9d90b4f191840f1884fd971715418382edb985f8d

Observation 1d65e296-32e1-4feb-a9c6-927f2e5619a2 · outbound

This paper cites Nesterov.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Nesterov

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.196504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.684860Z digest=sha256:c64a4aad009fc4f5c302443e612d77904f9b054566da3ea8bd3944d4d4220a50

Observation 391fbf01-acd8-434f-b5b4-b863239dc7f7 · outbound

This paper cites Proximal Algorithms.Foundations and Trends® in Optimiza- tion, 1(3):127–239, 2014.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Proximal Algorithms.Foundations and Trends® in Optimiza- tion, 1(3):127–239, 2014

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.179162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.691193Z digest=sha256:64b2bb26d0f2603891b65eeee7487187e2717c007bb88d7b814e11502e041a25

Observation c85ceaf1-162d-4a3e-a991-0c116eb0a50d · outbound

This paper cites an unresolved cited work.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:56:52.161796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.699398Z digest=sha256:ff8731878076f43ee0057de31e31b8af95732726fc7921c442f3fa076fc432d5

Observation 68df81b0-d914-479c-b8e9-85a9f7e614fb · outbound

This paper cites an unresolved cited work.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:56:52.144732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.706540Z digest=sha256:02f6a7e4d6f518e36204a9b6d77439396e20325b8c75f801078e1de1cf0cfc4f

Observation 12ce2a62-76fc-4f55-b666-5603aaa85264 · outbound

This paper cites Prinja and Edward W.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Prinja and Edward W

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.125127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.712327Z digest=sha256:b7c1b6dfebaffd8e11b289784a2a2e38a11c27370349b556795ed228815d8d07

Observation a71a582f-aad5-4736-91cd-7a78465c586e · outbound

This paper cites Tyrrell Rockafellar.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Tyrrell Rockafellar

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.108591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.718100Z digest=sha256:721e9eccd6b7fe9cfa830cf4391d763bc7f6f2acf3e784c002673dc6175c26dc

Observation 636ccdba-9d4f-4e4e-b060-29500715cc53 · outbound

This paper cites Acceleration methods for fixed-point iterations.Acta Numerica, 34:805–890, 2025.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Acceleration methods for fixed-point iterations.Acta Numerica, 34:805–890, 2025

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.092355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.723611Z digest=sha256:c6ff28963eeafc79ac4398476d62d37246a4c3869a27392ea4b21a74f564d36b

Observation 6917430f-a8e9-4a75-810c-244de45e8537 · outbound

This paper cites One-sweep moment-based semi-implicit-explicit integration for gray thermal radiation transport.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization One-sweep moment-based semi-implicit-explicit integration for gray thermal radiation transport

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.075473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.728883Z digest=sha256:50cdf2071c31090204da1d24c75d36beede2ba2e57502a22e813e4f83d21376e

Observation 900cd3e6-b36c-4eff-8336-1a9d9e3a3d0c · outbound

This paper cites Implicit-explicit runge-kutta for radiation hydrodynamics i: Gray diffusion.Journal of Computational Physics, 518:113339, 2024.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Implicit-explicit runge-kutta for radiation hydrodynamics i: Gray diffusion.Journal of Computational Physics, 518:113339, 2024

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.058084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.734025Z digest=sha256:a56b6a51b8185a67b6cbb7ed8173a79c3c0a6d0b61a5d904d3fcabe7dcfa4a10

Observation 42151e35-1c9b-458c-bd36-e1249752ace8 · outbound

This paper cites An inverse source problem in optical molecular imag- ing.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization An inverse source problem in optical molecular imag- ing

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.040294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.738973Z digest=sha256:64be901bddff2bd5c6df2af26c6c6de02d398acf628e8c9469406ad8e4401ffe

Observation 241e00af-094e-4e68-8dc1-99ed99f50af6 · outbound

This paper cites A Differential Equation for Modeling Nesterov’s Accelerated Gradient Method: Theory and Insights.arXiv, 2015.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization A Differential Equation for Modeling Nesterov’s Accelerated Gradient Method: Theory and Insights.arXiv, 2015

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:52.021718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.744536Z digest=sha256:e135db1f2d546cf8d11af17193d61d06687447979c7bd839ce5f12bcab1f0dd6

Observation 92f58243-f745-4c2a-a948-e05065367d58 · outbound

This paper cites an unresolved cited work.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:56:52.002782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.750066Z digest=sha256:cfd730c5abda5e208a3dfb6a38b96aa6a00b9f1071ebda2b2d05024e29187bb2

Observation af6116a8-7b61-49cd-a4a6-761a0330d4ff · outbound

This paper cites Preconditioning transformations of adjoint systems for evolution equations.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Preconditioning transformations of adjoint systems for evolution equations

Reference 50

Resolution
verified exact
local_arxiv, observed 2026-08-15T16:56:51.841131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.755211Z digest=sha256:fdd0f85e537359e1f321ff15413f651f388726037137f8a8e021449201e4e043

Observation 5847bb56-4b81-4cc3-a85a-711412296e1b · outbound

This paper cites an unresolved cited work.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:56:51.982728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.760591Z digest=sha256:66b6089a07bb4d0e395916cc9dd23d8efa9223e82759043abe96ffed0ca5a808

Observation 51d3bf36-ffe6-499d-9341-9a7ca020b560 · outbound

This paper cites an unresolved cited work.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:56:51.963795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.766020Z digest=sha256:4d5abb674041831543dfc7d7889be99cbd8ff9f6f6eda8c3ca48fa8111f08366

Observation 26f1f1dc-59ec-47de-b17b-7d303f81fbea · outbound

This paper cites Solving parameter estimation prob- lems with discrete adjoint exponential integrators.Optimization Methods and Software, 33(4- 6):750–770, 2018.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Solving parameter estimation prob- lems with discrete adjoint exponential integrators.Optimization Methods and Software, 33(4- 6):750–770, 2018

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:51.945865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.771270Z digest=sha256:e436f04b77d26bb978c0e343571e5d7fcb112fa23d896f586f1f3d4529ec7d93

Observation 5ffe284b-11bd-4c18-bcf8-48c425f502f7 · outbound

This paper cites Walker and Peng Ni.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Walker and Peng Ni

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:51.927195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.776665Z digest=sha256:91693acf147c380d2aa74afe9fb8c11cbfd073a73ea24871bd6874d7be28826e

Observation 3ffbdd4a-3cfa-4935-8ff4-267261235fc2 · outbound

This paper cites Quantum state tomography.

Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Quantum state tomography

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:56:51.906548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T16:56:51.782047Z digest=sha256:2c6830d953fa645ca874fd8702e2d6a5d880141b68c00ef03d3a3409699adcaf

Pith citing papers

No inbound Pith citation observations are available.