On Matrices Whose Cosquares are Diagonalizable and Have Real Spectra

IF 0.4 Q4 MATHEMATICS, APPLIED

Numerical Analysis and Applications Pub Date : 2022-01-01 DOI:10.15372/sjnm20220104

K. Ikramov

引用次数: 0

Abstract

Abstract It is shown that an algorithm for verifying the congruence of square roots of Hermitian matrices, proposed earlier by the author, can be extended to the considerably broader class of matrices whose cosquares are diagonalizable and have real spectra.

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关于协平方可对角化且具有实谱的矩阵

摘要证明了作者早期提出的一种验证Hermitian矩阵平方根同余的算法，可以推广到更广泛的一类共平方可对角化且具有实谱的矩阵。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Numerical Analysis and Applications MATHEMATICS, APPLIED-

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Numerical Analysis and Applications is the translation of Russian periodical Sibirskii Zhurnal Vychislitel’noi Matematiki (Siberian Journal of Numerical Mathematics) published by the Siberian Branch of the Russian Academy of Sciences Publishing House since 1998. The aim of this journal is to demonstrate, in concentrated form, to the Russian and International Mathematical Community the latest and most important investigations of Siberian numerical mathematicians in various scientific and engineering fields. The journal deals with the following topics: Theory and practice of computational methods, mathematical physics, and other applied fields; Mathematical models of elasticity theory, hydrodynamics, gas dynamics, and geophysics; Parallelizing of algorithms; Models and methods of bioinformatics.