000 | aam a22 4500 | ||
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999 |
_c211927 _d211927 |
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008 | 190426b 2019 ||||| |||| 00| 0 eng d | ||
020 | _a9781138351097 | ||
082 |
_a512.9434 _bB6R2 |
||
100 |
_aBose, Arup _9379089 |
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245 | _aRandom circulant matrices | ||
260 |
_bCRC Press _c2019 _aFlorida |
||
300 |
_axix, 192p. _bWith index |
||
504 | _aTable of Contents 1. Circulants 2. Symmetric and reverse circulant 3. LSD: normal approximation LSD: dependent input Spectral radius: light tail Spectral radius: k-circulant Maximum of scaled eigenvalues: dependent input Poisson convergence Heavy tailed input: LSD Heavy-tailed input: spectral radius Appendix | ||
520 | _aCirculant matrices have been around for a long time and have been extensively used in many scientific areas. This book studies the properties of the eigenvalues for various types of circulant matrices, such as the usual circulant, the reverse circulant, and the k-circulant when the dimension of the matrices grow and the entries are random. In particular, the behavior of the spectral distribution, of the spectral radius and of the appropriate point processes are developed systematically using the method of moments and the various powerful normal approximation results. This behavior varies according as the entries are independent, are from a linear process, and are light- or heavy-tailed. https://www.crcpress.com/Random-Circulant-Matrices/Bose-Saha/p/book/9781138351097 | ||
650 |
_aMatrices -- Problems, exercises _9379090 |
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650 |
_aRandom matrices _9379091 |
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650 |
_aEigenvalues _9379092 |
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700 |
_aSaha, Koushik _eCo author _9379093 |
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942 |
_2ddc _cBK |