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| Main Author: | |
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| Format: | Preprint |
| Published: |
2006
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/cs/0609082 |
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| _version_ | 1866915559901233152 |
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| author | Gutowski, Marek W. |
| author_facet | Gutowski, Marek W. |
| contents | We present a straightforward and verified method of deciding whether the n-dimensional point x (n>=1), such that \nabla f(x)=0, is the local minimizer, maximizer or just a saddle point of a real-valued function f.
The method scales linearly with dimensionality of the problem and never produces false results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_cs_0609082 |
| institution | arXiv |
| publishDate | 2006 |
| record_format | arxiv |
| spellingShingle | Classifying extrema using intervals Gutowski, Marek W. Mathematical Software Computational Complexity Numerical Analysis F.2.2; G.1.0; G.1.2; J.2 We present a straightforward and verified method of deciding whether the n-dimensional point x (n>=1), such that \nabla f(x)=0, is the local minimizer, maximizer or just a saddle point of a real-valued function f. The method scales linearly with dimensionality of the problem and never produces false results. |
| title | Classifying extrema using intervals |
| topic | Mathematical Software Computational Complexity Numerical Analysis F.2.2; G.1.0; G.1.2; J.2 |
| url | https://arxiv.org/abs/cs/0609082 |