Algorithm for computing Jordan basis

DOI Web Site 被引用文献1件 参考文献9件

説明

We propose a novel algorithm to compute a Jordan basis (JB) for an arbitrarily given square matrix. The algorithm is based on the fact that a JB for a linear transformation $f$ is obtained by extending a JB for the restriction of $f$ to its range $R(f)$. The main ingredient of the algorithm is singular value decomposition, and that ensures backward-stability of the algorithm. To enhance the practical utility, we also introduce an automatic mechanism into the algorithm such that it outputs all possible Jordan structures close to the exact one of the input matrix.

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  • JSIAM Letters

    JSIAM Letters 2 (0), 119-122, 2010

    一般社団法人 日本応用数理学会

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