Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T16:56:51.782047Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T16:56:51.782047Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
55 of 55 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation f576d6fc-ff46-4a86-8e93-7fc386bf1497 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Abbott and Richard P
Reference 1
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.
Observation 0f671b67-230d-4d5b-adcf-0f5883196f52 · outbound
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
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.
Observation 1917d281-6c8e-4528-9f6d-a7b3c437ca10 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization On the Minimizing Property of a Second Order Dissipative System in Hilbert Spaces
Reference 3
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.
Observation a4168248-6ccb-43cf-8806-dd79724623af · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Natural gradient works efficiently in learning.Neural computation, 10(2):251– 276, 1998
Reference 4
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.
Observation 3c7d4d38-88da-4faa-af85-c991a1b501b1 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Anderson, J
Reference 5
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.
Observation 8057b299-d935-4d61-990a-8e0cb6488fad · outbound
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
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.
Observation e15555f1-bc3c-4130-9188-72bbc4a4dd18 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Attouch, X
Reference 7
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.
Observation b3b92cc2-4b38-4e97-a7c8-dd5c3899817d · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Chung, and John C
Reference 8
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.
Observation 259f6d1b-857e-4b65-91bb-8b727f74284f · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Bertsekas.Constrained Optimization and Lagrange Multiplier Methods
Reference 9
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.
Observation c48edbc7-12a0-4180-beac-9d62ef438291 · outbound
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
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.
Observation bb51064f-2457-4f9b-8760-e9c8e4d753be · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Boscarino, F
Reference 11
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.
Observation 9c5319c2-a433-42de-b9be-002da19451b8 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Differential gradient methods
Reference 12
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.
Observation b2bba4e8-69f4-4894-bdec-4421cd08aa28 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Unresolved cited work
Reference 13
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.
Observation 5e82f6e0-baef-46c9-b163-78d55bfd14c7 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Brune, Matthew G
Reference 14
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.
Observation cc1af7ee-c2bb-4a1b-8511-5f88825fd957 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization A New Class of Runge-Kutta Methods for Nonlinearly Partitioned Systems
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e738207c-a6ad-440a-919d-b2076f308aac · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Calvo, J
Reference 16
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.
Observation fc08b4dd-f62e-4473-9dab-8ff7f7152f0b · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Woodhead Publishing Series in Energy
Reference 17
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.
Observation bfe14299-e51c-4e83-92d6-7e95b048e646 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Iterativepre-conditioningtoexpedite the gradient-descent method
Reference 18
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.
Observation 0e7288e4-e18d-4eb9-9700-def3cb62c204 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Alvarez D
Reference 19
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.
Observation 2f651d29-36ec-4061-a3d6-6f3e2f185492 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization A geometric integration approach to smooth optimization: foundations of the discrete gradient method
Reference 20
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.
Observation db386d1e-1ebc-4079-8a27-94b73bc0f3e9 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Unresolved cited work
Reference 21
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.
Observation cb6180e5-226f-4446-bd81-e592677d16e4 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Giles and Endre Süli
Reference 22
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.
Observation 4f9f744e-873a-475b-9aae-0bc968e0de19 · outbound
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
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.
Observation 39608393-940e-40d2-8ec8-dcd4018ee3e4 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Matlab version: R2024a, 2024
Reference 24
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.
Observation c3d68f3d-e52f-4469-940d-c7f1e5bbe48c · outbound
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
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.
Observation 39f99c8e-5acc-4f25-a067-8affe3b8b327 · outbound
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
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.
Observation 7db532fd-7062-4629-a448-df91218e17a5 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Kulkarni, David M
Reference 27
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.
Observation de385208-147d-4651-98b2-4dbd9cf630cf · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization A grey transport acceleration method far time-dependent radiative transfer problems
Reference 28
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.
Observation 98fe5292-d43a-40dd-9a14-7adff1eb435f · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization On inertial Levenberg-Marquardt type methods for solving nonlinear ill-posed operator equations
Reference 29
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.
Observation 1f2722f0-893e-42eb-ae9d-9bd76bd5a1e3 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization A method for the solution of certain non-linear problems in least squares
Reference 30
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.
Observation 74144257-5c53-4e30-99d6-9d7b8c538ed7 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Li and L
Reference 31
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.
Observation 64689dc1-5909-4858-8557-6448634179fb · outbound
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
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.
Observation eade086d-8ad4-4c73-a413-c96a910afe0e · outbound
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
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.
Observation b27ab9fd-d6e1-44c7-b14b-ec76f00e5b92 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Maddison, Daniel Paulin, Yee Whye Teh, and Arnaud Doucet
Reference 34
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.
Observation 032dacda-7da8-49ae-a7ba-92d8feeaaf04 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Marquardt
Reference 35
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.
Observation 63c9de48-0893-46a8-aa57-55f33d1f669a · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization (Page 19)
Reference 36
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.
Observation 77863752-3932-4685-aadc-04f9b4da9df6 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Nesterov
Reference 37
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.
Observation 1d65e296-32e1-4feb-a9c6-927f2e5619a2 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Nesterov
Reference 38
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.
Observation 391fbf01-acd8-434f-b5b4-b863239dc7f7 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Proximal Algorithms.Foundations and Trends® in Optimiza- tion, 1(3):127–239, 2014
Reference 39
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.
Observation c85ceaf1-162d-4a3e-a991-0c116eb0a50d · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Unresolved cited work
Reference 40
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.
Observation 68df81b0-d914-479c-b8e9-85a9f7e614fb · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Unresolved cited work
Reference 41
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.
Observation 12ce2a62-76fc-4f55-b666-5603aaa85264 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Prinja and Edward W
Reference 42
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.
Observation a71a582f-aad5-4736-91cd-7a78465c586e · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Tyrrell Rockafellar
Reference 43
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.
Observation 636ccdba-9d4f-4e4e-b060-29500715cc53 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Acceleration methods for fixed-point iterations.Acta Numerica, 34:805–890, 2025
Reference 44
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.
Observation 6917430f-a8e9-4a75-810c-244de45e8537 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization One-sweep moment-based semi-implicit-explicit integration for gray thermal radiation transport
Reference 45
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.
Observation 900cd3e6-b36c-4eff-8336-1a9d9e3a3d0c · outbound
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
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.
Observation 42151e35-1c9b-458c-bd36-e1249752ace8 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization An inverse source problem in optical molecular imag- ing
Reference 47
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.
Observation 241e00af-094e-4e68-8dc1-99ed99f50af6 · outbound
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
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.
Observation 92f58243-f745-4c2a-a948-e05065367d58 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Unresolved cited work
Reference 49
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.
Observation af6116a8-7b61-49cd-a4a6-761a0330d4ff · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Preconditioning transformations of adjoint systems for evolution equations
Reference 50
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.
Observation 5847bb56-4b81-4cc3-a85a-711412296e1b · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Unresolved cited work
Reference 51
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.
Observation 51d3bf36-ffe6-499d-9341-9a7ca020b560 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Unresolved cited work
Reference 52
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.
Observation 26f1f1dc-59ec-47de-b17b-7d303f81fbea · outbound
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
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.
Observation 5ffe284b-11bd-4c18-bcf8-48c425f502f7 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Walker and Peng Ni
Reference 54
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.
Observation 3ffbdd4a-3cfa-4935-8ff4-267261235fc2 · outbound
Nonlinear Splitting for Gradient-Based Unconstrained and Adjoint Optimization Quantum state tomography
Reference 55
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.
No inbound Pith citation observations are available.