Sufficient Conditions for Error Distance Reduction in the (\ell^2)-norm Trust Region between Minimizers of Local Nonconvex Multivariate Quadratic Approximates
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911957285601280 |
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| author | Xie, Pengcheng |
| author_facet | Xie, Pengcheng |
| contents | This paper analyzes the sufficient conditions for distance reduction between minimizers of local nonconvex quadratic approximate functions with diagonal Hessian in the (\ell^2)-norm trust regions after two iterations. Some examples illustrate the theoretical results of this study. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_08603 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Sufficient Conditions for Error Distance Reduction in the (\ell^2)-norm Trust Region between Minimizers of Local Nonconvex Multivariate Quadratic Approximates Xie, Pengcheng Optimization and Control 65G99, 65K05, 90C30 This paper analyzes the sufficient conditions for distance reduction between minimizers of local nonconvex quadratic approximate functions with diagonal Hessian in the (\ell^2)-norm trust regions after two iterations. Some examples illustrate the theoretical results of this study. |
| title | Sufficient Conditions for Error Distance Reduction in the (\ell^2)-norm Trust Region between Minimizers of Local Nonconvex Multivariate Quadratic Approximates |
| topic | Optimization and Control 65G99, 65K05, 90C30 |
| url | https://arxiv.org/abs/2310.08603 |