Pith. sign in

REVIEW 1 cited by

Convergence of sequences: a survey

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2111.11374 v1 pith:HXQDA2QN submitted 2021-11-22 math.OC cs.MA

Barbara Franci , Sergio Grammatico This is my paper · ORCID
classification math.OCcs.MA
keywords theoryconvergencesequencessurveyanalysiscomputationalconnectionconvergent
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

Convergent sequences of real numbers play a fundamental role in many different problems in system theory, e.g., in Lyapunov stability analysis, as well as in optimization theory and computational game theory. In this survey, we provide an overview of the literature on convergence theorems and their connection with Fejer monotonicity in the deterministic and stochastic settings, and we show how to exploit these results.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters

    math.OC 2025-06 conditional novelty 6.0 of 10

    A unified momentum-based optimization algorithm with time-varying parameters is shown to converge almost surely under generalized Robbins-Monro and Kiefer-Wolfowitz-Blum conditions, even with biased, unbounded-varianc...

Pith tools