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A Heuristic Rational Algorithm for Checking the Congruence of Normal Matrices
Computational Mathematics and Mathematical Physics ( IF 0.7 ) Pub Date : 2020-11-22 , DOI: 10.1134/s0965542520100097 Kh. D. Ikramov , A. M. Nazari
中文翻译:
检验正规矩阵同余的启发式有理算法
更新日期:2020-11-22
Computational Mathematics and Mathematical Physics ( IF 0.7 ) Pub Date : 2020-11-22 , DOI: 10.1134/s0965542520100097 Kh. D. Ikramov , A. M. Nazari
Abstract
A finite algorithm that uses arithmetic operations only is said to be rational. There exist rational methods for checking the congruence of a pair of Hermitian matrices or a pair of unitary ones. We propose a rational algorithm for checking the congruence of general normal matrices.
中文翻译:
检验正规矩阵同余的启发式有理算法
摘要
仅使用算术运算的有限算法被认为是合理的。存在检查一对厄米矩阵或一对unit矩阵的同余性的合理方法。我们提出了一种合理的算法来检查一般正规矩阵的同余性。