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Digitale Medien

Error-free matrix symmetrizers and equivalent symmetric matrices (1990)

Venkaiah, V. Ch. ; Sen, S. K.

Springer

Acta applicandae mathematicae 21 (1990), S. 291-313

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Details

ISSN: 1572-9036

Schlagwort(e): 65F ; 65G ; Complex symmetric matrix ; equivalent symmetric matrices ; error-free matrix symmetrizers ; floating-point modular arithmetic ; Hessenberg matrices ; nonsymmetric eigenvalue problem ; parallel implementation ; QR transformation

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract A symmetrizer of the matrix A is a symmetric solution X that satisfies the matrix equation XA=A′X. 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.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF00047212

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