Let R โ C mรm and S โ C nรn 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
โฆ LIBER โฆ
Maximal spaces of skew-symmetric and symmetric anticommutative matrices
โ Scribed by A. T. Gainov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1992
- Tongue
- English
- Weight
- 654 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0037-4466
No coin nor oath required. For personal study only.
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This paper addresses the finest block triangularization of nonsingular skewsymmetric matrices by simultaneous permutations of rows and columns. Hierarchical relations among components are represented in terms of signed posets. The finest block-triangular form can be computed efficiently with the aid