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On the Calculation of the T-Congruence Centralizer

  • GENERAL NUMERICAL METHODS
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Abstract

Let \(A\) be a complex \(n \times n\) matrix. The set \(\mathcal{L}\) of matrices \(X\) satisfying the relation \({{X}^{T}}AX = A\) is called the \(T\)-congruence centralizer of \(A\). It is shown that the calculation of matrices from the nonlinear variety \(\mathcal{L}\) can be reduced to solving a linear matrix equation.

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Correspondence to Kh. D. Ikramov.

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Ikramov, K.D. On the Calculation of the T-Congruence Centralizer. Comput. Math. and Math. Phys. 61, 347–350 (2021). https://doi.org/10.1134/S096554252103009X

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  • DOI: https://doi.org/10.1134/S096554252103009X

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