Scaled Relative Graph of Normal Matrices
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909415755481088 |
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| author | Huang, Xinmeng Ryu, Ernest K. Yin, Wotao |
| author_facet | Huang, Xinmeng Ryu, Ernest K. Yin, Wotao |
| contents | The Scaled Relative Graph (SRG) is a geometric tool that maps the action of a multi-valued nonlinear operator onto the 2D plane, used to analyze the convergence of a wide range of iterative methods. As the SRG includes the spectrum for linear operators, we can view the SRG as a generalization of the spectrum to multi-valued nonlinear operators. In this work, we further study the SRG of linear operators and characterize the SRG of block-diagonal and normal matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2001_02061 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Scaled Relative Graph of Normal Matrices Huang, Xinmeng Ryu, Ernest K. Yin, Wotao Numerical Analysis Optimization and Control The Scaled Relative Graph (SRG) is a geometric tool that maps the action of a multi-valued nonlinear operator onto the 2D plane, used to analyze the convergence of a wide range of iterative methods. As the SRG includes the spectrum for linear operators, we can view the SRG as a generalization of the spectrum to multi-valued nonlinear operators. In this work, we further study the SRG of linear operators and characterize the SRG of block-diagonal and normal matrices. |
| title | Scaled Relative Graph of Normal Matrices |
| topic | Numerical Analysis Optimization and Control |
| url | https://arxiv.org/abs/2001.02061 |