Eigenvalue spectrum support of paired random matrices with pseudo-inverse
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909664340344832 |
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| author | Cohen, Uri |
| author_facet | Cohen, Uri |
| contents | The Moore-Penrose pseudo-inverse $X^\dagger$, defined for rectangular matrices, naturally emerges in many areas of mathematics and science. For a pair of rectangular matrices $X, Y$ where the corresponding entries are jointly Gaussian and i.i.d., we analyse the support of the eigenvalue spectrum of $XY^\dagger$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_21244 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Eigenvalue spectrum support of paired random matrices with pseudo-inverse Cohen, Uri Spectral Theory Disordered Systems and Neural Networks Probability The Moore-Penrose pseudo-inverse $X^\dagger$, defined for rectangular matrices, naturally emerges in many areas of mathematics and science. For a pair of rectangular matrices $X, Y$ where the corresponding entries are jointly Gaussian and i.i.d., we analyse the support of the eigenvalue spectrum of $XY^\dagger$. |
| title | Eigenvalue spectrum support of paired random matrices with pseudo-inverse |
| topic | Spectral Theory Disordered Systems and Neural Networks Probability |
| url | https://arxiv.org/abs/2506.21244 |