Venkaiah, V Ch and Sen, SK
(1990)
*Error-free matrix symmetrizers and equivalent symmetric matrices.*
In: Acta Applicandae Mathematica, 21
(3).
pp. 291-313.

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## Abstract

A symmetrizer of the matrix A is a symmetric solution X that satisfies the matrix equation XA=AprimeX. 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.

Item Type: | Journal Article |
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Publication: | Acta Applicandae Mathematica |

Publisher: | Springer |

Additional Information: | Copyright of this article belongs to Springer. |

Keywords: | Complex symmetric matrix;equivalent symmetric matrices; error;free matrix symmetrizers;floating-point modular arithmetic;Hessenberg matrices;nonsymmetric eigenvalue problem;parallel implementation;QR transformation. |

Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |

Date Deposited: | 11 Feb 2011 08:46 |

Last Modified: | 11 Feb 2011 08:46 |

URI: | http://eprints.iisc.ac.in/id/eprint/35118 |

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