Error-free matrix symmetrizers and equivalent symmetric matrices |
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Authors: | V. Ch. Venkaiah S. K. Sen |
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Affiliation: | (1) Department of Applied Mathematics, Indian Institute of Science, 560012 Bangalore, India |
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Abstract: | A symmetrizer of the matrix A is a symmetric solution X that satisfies the matrix equation XA=AX. An exact matrix symmetrizer is computed by obtaining a general algorithm and superimposing a modified multiple modulus residue arithmetic on this algorithm. A procedure based on computing a symmetrizer to obtain a symmetric matrix, called here an equivalent symmetric matrix, whose eigenvalues are the same as those of a given real nonsymmetric matrix is presented.Supported by CSIR. |
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Keywords: | 65F 65G |
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