ISSN:
1572-9036
Keywords:
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
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00047212
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