Error-free matrix symmetrizers and equivalent symmetric matrices (Q756925)
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scientific article; zbMATH DE number 4192953
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Error-free matrix symmetrizers and equivalent symmetric matrices |
scientific article; zbMATH DE number 4192953 |
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Error-free matrix symmetrizers and equivalent symmetric matrices (English)
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1990
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Given a matrix A, then the symmetric matrix X satisfying \(XA=A'X\) is called a symmetrizer of A. A procedure is given to determine X. Use is made of floating-point modular arithmetic. Computational results are given.
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error-free matrix symmetrizers
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eigenvalues
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numerical examples
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matrix equation
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multiple modulus residue arithmetic
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equivalent symmetric matrix
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Hessenberg matrices
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nonsymmetric eigenvalue problem
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parallel implementation
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QR transformation
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floating-point modular arithmetic
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