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Error-free matrix symmetrizers and equivalent symmetric matrices

โœ Scribed by V. Ch. Venkaiah; S. K. Sen

Book ID
104622717
Publisher
Springer Netherlands
Year
1990
Tongue
English
Weight
881 KB
Volume
21
Category
Article
ISSN
0167-8019

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โœฆ Synopsis

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

๐Ÿ“œ SIMILAR VOLUMES

Matrix equations over -symmetric and -sk
Matrix equations over -symmetric and -skew symmetric matrices
โœ Mehdi Dehghan; Masoud Hajarian ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 373 KB

Let R โˆˆ C mร—m and S โˆˆ C nร—n be nontrivial involution matrices; i.e. R = R -1 = ยฑI and S = S -1 = ยฑI. An m ร— n complex matrix A is said to be a (R, S)-symmetric ((R, S)skew symmetric) matrix if RAS = A (RAS = -A). The (R, S)-symmetric and (R, S)-skew symmetric matrices have many special properties an