Tongjun Wang
Abstract
In this paper, the parameter iterative method of solving matrix equation AX+XB=F is constructed, when it has a unique solution. Through eigenvalue analysis of iterative matrix, the optimal parameter is given, when the eigenvalues of A and B are negative (positive) number.
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In this paper, the parameter iterative method of solving matrix equation AX+XB=F is constructed, when it has a unique solution. Through eigenvalue analysis of iterative matrix, the optimal parameter is given, when the eigenvalues of A and B are negative (positive) number.
Key concepts: Mathematics, Eigenvalues and eigenvectors, Iterative method, Matrix differential equation, Matrix (chemical analysis), Applied mathematics, Matrix-free methods, Mathematical analysis