Paper Citation Record · LEDGER

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems

As of 13 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2502.02010.

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

pith.paper-citation-record.v1
2502.02010 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T13:48:38.499094Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T06:40:53.785426Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

32 of 32 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2ad5b078-82e1-4a9c-a543-eaf7d9f68268 · outbound

This paper cites Advances in cone-based preference modeling for decision making with mul- tiple criteria.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems Advances in cone-based preference modeling for decision making with mul- tiple criteria

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:39.078261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ed9f09a5-29f3-4029-b166-2e4ab51d26a1 · outbound

This paper cites Finance-based scheduling multi-objective opti- mization: Benchmarking of evolutionary algorithms.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems Finance-based scheduling multi-objective opti- mization: Benchmarking of evolutionary algorithms

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:39.068109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bf7acc75-483e-4424-9922-013fadf43edc · outbound

This paper cites Robust multiobjective optimization & applications in portfolio opti- mization.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems Robust multiobjective optimization & applications in portfolio opti- mization

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:39.058044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 493409dc-dac4-4c25-811d-a5c3a48cb5f3 · outbound

This paper cites Multicriteria design optimization: procedures and applications.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems Multicriteria design optimization: procedures and applications

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:39.047087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e070e35a-7a58-49a2-b515-0a2a9f387871 · outbound

This paper cites Pareto-optimal aircraft technology study for environmental benefits with multi-objective optimization.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems Pareto-optimal aircraft technology study for environmental benefits with multi-objective optimization

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:39.037234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ed11272f-ac9e-4bb0-8dd2-e6d0a7c10018 · outbound

This paper cites Numerical methods in extremal problems.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems Numerical methods in extremal problems

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:39.027146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation eb2e54c7-386e-4e88-b4ad-ea6008bec398 · outbound

This paper cites An efficient method to solve the minimax problem directly.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems An efficient method to solve the minimax problem directly

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:39.015710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bc79220b-9319-4845-a9fe-d48a38869f40 · outbound

This paper cites A globally convergent qp-free algorithm for inequality constrained minimax optimization.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems A globally convergent qp-free algorithm for inequality constrained minimax optimization

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:39.005573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f8e6e147-1c70-4e99-b97c-4f8169f4f43b · outbound

This paper cites Primal interior-point method for large sparse minimax optimization.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems Primal interior-point method for large sparse minimax optimization

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.994714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7abe8e20-a6d4-431b-aa37-8c85cbfce8a7 · outbound

This paper cites Interior-point method for non-linear non-convex opti- mization.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems Interior-point method for non-linear non-convex opti- mization

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.984341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 396a3559-2441-4629-b32f-393a94148c1d · outbound

This paper cites An interior-point algorithm for nonconvex nonlinear program- ming.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems An interior-point algorithm for nonconvex nonlinear program- ming

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.973972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9631fc98-98e3-4431-b95e-628d30258710 · outbound

This paper cites A non-monotone conjugate subgradient type method for minimization of convex functions.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems A non-monotone conjugate subgradient type method for minimization of convex functions

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.963829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 14c7df66-50d1-4a9f-96c1-051adfa7dce4 · outbound

This paper cites On solving large-scale finite minimax problems using exponential smoothing.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems On solving large-scale finite minimax problems using exponential smoothing

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.952975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ffbebbd8-0997-4e1e-b0b8-c450f23c3bf5 · outbound

This paper cites An algorithm based on active sets and smoothing for discretized semi-infinite minimax problems.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems An algorithm based on active sets and smoothing for discretized semi-infinite minimax problems

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.942257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 30f20502-ddcc-4850-b273-fdd21f61e4bb · outbound

This paper cites On the convergence of the pshenichnyi-pironneau-polak minimax algorithm with an active set strategy.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems On the convergence of the pshenichnyi-pironneau-polak minimax algorithm with an active set strategy

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.930617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fe60cc38-6d0c-414a-bbeb-49890798e2ff · outbound

This paper cites Steepest descent methods for multicriteria optimization.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems Steepest descent methods for multicriteria optimization

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.920861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3b76b1f5-c5eb-43d9-9f2c-22228e608181 · outbound

This paper cites Nonlinear conjugate gradient methods for vector opti- mization.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems Nonlinear conjugate gradient methods for vector opti- mization

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.911618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d2906bcc-d259-4e2f-a682-1970af91c59d · outbound

This paper cites Extended newton methods for multiobjective op- timization: majorizing function technique and convergence analysis.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems Extended newton methods for multiobjective op- timization: majorizing function technique and convergence analysis

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.902302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 53be27f3-fc45-4570-98b1-724225e37500 · outbound

This paper cites Convergence of the projected gradient method for quasiconvex multiobjective optimization.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems Convergence of the projected gradient method for quasiconvex multiobjective optimization

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.892699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c9ae68cc-5324-4075-8556-242974963522 · outbound

This paper cites A projected gradient method for vector optimization prob- lems.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems A projected gradient method for vector optimization prob- lems

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.881257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ea52c1e3-3016-4d54-a752-dd92afc60950 · outbound

This paper cites A new nonmonotone line search method for nonsmooth nonconvex optimization.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems A new nonmonotone line search method for nonsmooth nonconvex optimization

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.871042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d80157ee-2f35-4fd9-b19b-f885028b1032 · outbound

This paper cites Interactive multiple criteria decision making based on preference driven evolutionary multiobjective optimization with controllable accuracy.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems Interactive multiple criteria decision making based on preference driven evolutionary multiobjective optimization with controllable accuracy

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.860658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3f966ee8-6e88-443b-8b6a-686a7af3e7a7 · outbound

This paper cites A monotonic optimization approach for solving strictly quasiconvex multiobjective programming problems.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems A monotonic optimization approach for solving strictly quasiconvex multiobjective programming problems

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.824017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c7a6d3b1-cc2e-4c7f-89b0-65fac0e29f0d · outbound

This paper cites Generalized convexity of functions and generalized monotonicity of set-valued maps.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems Generalized convexity of functions and generalized monotonicity of set-valued maps

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.774832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 90061265-267b-455f-a8ae-231cbf6bccd9 · outbound

This paper cites Semismooth and semiconvex functions in constrained optimization.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems Semismooth and semiconvex functions in constrained optimization

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.725301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4a5eb585-e2b1-4391-8060-d44454bd36d3 · outbound

This paper cites Disciplined quasiconvex programming.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems Disciplined quasiconvex programming

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.690331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6e168faf-39b4-45b4-acaf-873606eb2934 · outbound

This paper cites Iterative algorithms for nonlinear operators.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems Iterative algorithms for nonlinear operators

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.680250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7e2fb1b0-aff2-4727-b5fc-2755f0a22f5a · outbound

This paper cites Efficient computation of the search re- gion in multi-objective optimization.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems Efficient computation of the search re- gion in multi-objective optimization

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.669659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation da34951e-f7d3-4b67-909e-a9b7bf805d9f · outbound

This paper cites Multiobjective optimization through a series of single- objective formulations.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems Multiobjective optimization through a series of single- objective formulations

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.659527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9fbbe7b2-a854-45e8-9d62-af1e463b941f · outbound

This paper cites Multicriteria optimization.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems Multicriteria optimization

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.649663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cc5416d0-25ab-496f-9906-3c71dd2a4a68 · outbound

This paper cites Convergence of a nonmonotone projected gradient method for nonconvex multiobjective optimization.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems Convergence of a nonmonotone projected gradient method for nonconvex multiobjective optimization

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.639389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 600f8649-650e-4348-9793-6dec57c5fd4c · outbound

This paper cites Pareto multi-task learning.

A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems Pareto multi-task learning

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T13:48:38.627434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation 0f1fbd5f-9963-491d-b64c-c0c217564958 · inbound

Barzilai-Borwein Diagonal Quasi-Newton Method for Nonconvex Multiobjective Optimization Problems cites this paper.

Barzilai-Borwein Diagonal Quasi-Newton Method for Nonconvex Multiobjective Optimization Problems A Steepest Gradient Method with Nonmonotone Adaptive Step-sizes for the Nonconvex Minimax and Multi-Objective Optimization Problems

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T06:40:53.785426Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.