A Modified Dai-Liao Spectral Conjugate Gradient Method with an Application to Signal Processing
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911317103738880 |
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| author | Sahu, D. R. Sharma, Shikher Gautam, Pankaj Reich, Simeon |
| author_facet | Sahu, D. R. Sharma, Shikher Gautam, Pankaj Reich, Simeon |
| contents | We propose and study a variant of the Dai-Liao spectral conjugate gradient method, developed through an analysis of eigenvalues and inspired by a modified secant condition. We show that our proposed method is globally convergent for general nonlinear functions under standard assumptions. By incorporating the new secant condition and a quasi-Newton direction, we introduce updated spectral parameters. These changes ensure that the resulting search direction satisfies the sufficient descent property without relying on any line search. Numerical experiments show that the proposed algorithm performs better than several existing methods in terms of convergence speed and computational efficiency. Its effectiveness is further demonstrated through an application to signal processing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15300 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Modified Dai-Liao Spectral Conjugate Gradient Method with an Application to Signal Processing Sahu, D. R. Sharma, Shikher Gautam, Pankaj Reich, Simeon Optimization and Control We propose and study a variant of the Dai-Liao spectral conjugate gradient method, developed through an analysis of eigenvalues and inspired by a modified secant condition. We show that our proposed method is globally convergent for general nonlinear functions under standard assumptions. By incorporating the new secant condition and a quasi-Newton direction, we introduce updated spectral parameters. These changes ensure that the resulting search direction satisfies the sufficient descent property without relying on any line search. Numerical experiments show that the proposed algorithm performs better than several existing methods in terms of convergence speed and computational efficiency. Its effectiveness is further demonstrated through an application to signal processing. |
| title | A Modified Dai-Liao Spectral Conjugate Gradient Method with an Application to Signal Processing |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2501.15300 |