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arXiv math/0501201math.SP
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Hermetian块Toeplitz矩阵的广义反射系数与逆分解

Generalized Reflection Coefficients and Inverse Factorization of Hermetian Block Toeplitz Matrix

Rami Kanhouche

摘要:

基于对角递归公式的Hermetian正定矩阵的逆的因式分解允许块Toeplitz矩阵的逆,仅使用矩阵向量乘积,并且具有O((n1)^3(n2)^2)的复杂性,其中n1是块大小,n2是块矩阵块大小。

英文摘要:

A factorization of the inverse of a Hermetian positive definite matrix based on a diagonal by diagonal recurrence formulae permits the inversion of Block Toeplitz matrices, using only matrix-vector products, and with a complexity of O((n1)^3(n2)^2), where n1 is the block size, and n2 is the block matrix block-size.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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