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- Publisher Website: 10.1007/s10107-023-01936-6
- Scopus: eid_2-s2.0-85148229393
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Article: Lyapunov stability of the subgradient method with constant step size
| Title | Lyapunov stability of the subgradient method with constant step size |
|---|---|
| Authors | |
| Keywords | Differential inclusions Lyapunov stability Semi-algebraic geometry |
| Issue Date | 2023 |
| Citation | Mathematical Programming, 2023, v. 202, n. 1-2, p. 387-396 How to Cite? |
| Abstract | We consider the subgradient method with constant step size for minimizing locally Lipschitz semi-algebraic functions. In order to analyze the behavior of its iterates in the vicinity of a local minimum, we introduce a notion of discrete Lyapunov stability and propose necessary and sufficient conditions for stability. |
| Persistent Identifier | http://hdl.handle.net/10722/345307 |
| ISSN | 2023 Impact Factor: 2.2 2023 SCImago Journal Rankings: 1.982 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Josz, Cédric | - |
| dc.contributor.author | Lai, Lexiao | - |
| dc.date.accessioned | 2024-08-15T09:26:31Z | - |
| dc.date.available | 2024-08-15T09:26:31Z | - |
| dc.date.issued | 2023 | - |
| dc.identifier.citation | Mathematical Programming, 2023, v. 202, n. 1-2, p. 387-396 | - |
| dc.identifier.issn | 0025-5610 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/345307 | - |
| dc.description.abstract | We consider the subgradient method with constant step size for minimizing locally Lipschitz semi-algebraic functions. In order to analyze the behavior of its iterates in the vicinity of a local minimum, we introduce a notion of discrete Lyapunov stability and propose necessary and sufficient conditions for stability. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Mathematical Programming | - |
| dc.subject | Differential inclusions | - |
| dc.subject | Lyapunov stability | - |
| dc.subject | Semi-algebraic geometry | - |
| dc.title | Lyapunov stability of the subgradient method with constant step size | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1007/s10107-023-01936-6 | - |
| dc.identifier.scopus | eid_2-s2.0-85148229393 | - |
| dc.identifier.volume | 202 | - |
| dc.identifier.issue | 1-2 | - |
| dc.identifier.spage | 387 | - |
| dc.identifier.epage | 396 | - |
| dc.identifier.eissn | 1436-4646 | - |