Substitution algorithms for rational matrix equations

版本 1.0.0 (11.6 KB) 作者: Massimiliano Fasi

Solution of matrix equations of the form r(X) = A, where r is a rational function and X and A are square matrices.

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更新时间 2020/2/21

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The three algorithms in this submission solve equations of the form r(X) = A, where r is a rational function and A and X are square matrices of the same size.

The function invrat_horn() implements [1, Algorithm 2] whereas invrat_pow() and invrat_ps() implement [2, Algorithm 3.1] and [2, Algorithm 3.2], respectively.

[1] M. Fasi and B. Iannazzo. Computing primary solutions of equations involving primary matrix functions. Linear Algebra Appl., 560:17–42, 2019.

[2] M. Fasi and B. Iannazzo. Substitution algorithms for rational matrix equations. MIMS EPrint 2019.8, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, May 2019.

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Massimiliano Fasi (2024). Substitution algorithms for rational matrix equations (https://www.mathworks.com/matlabcentral/fileexchange/74317-substitution-algorithms-for-rational-matrix-equations), MATLAB Central File Exchange. 检索来源 2024/10/3.