递归块矩阵算法

arXiv - CS - Symbolic Computation Pub Date : 2024-07-04 DOI:arxiv-2407.03976

Stephen M. Watt

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引用次数: 0

摘要

我们研究递归块矩阵的某些线性代数算法。这种表示法具有有用的实践和理论特性。我们总结了以前关于分块矩阵反演的一些结果，并介绍了关于分块矩阵三角形分解的一些结果。冈萨雷斯-维加（Gonzalez-Vega et al.

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Algorithms for Recursive Block Matrices

We study certain linear algebra algorithms for recursive block matrices. This representation has useful practical and theoretical properties. We summarize some previous results for block matrix inversion and present some results on triangular decomposition of block matrices. The case of inverting matrices over a ring that is neither formally real nor formally complex was inspired by Gonzalez-Vega et al.

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arXiv - CS - Symbolic Computation

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