S-matrices |
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| Authors: | Miroslav Fiedler |
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| Affiliation: | 1. Czechoslovak Academy of Sciences Institute of Mathematics ?itná 25 115 67 Praha 1, Czechoslovakia;2. The University of South Carolina Department of Mathematics and Statistics Columbia, South Carolina 29208, USA |
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| Abstract: | ![]()
A new class of so called S-matrices is introduced which allows investigating links between various known classes of matrices such as Vandermonde matrices, Hankel matrices, companion matrices, etc. For complex S-matrices, the problem of decomposition into a quasidirect sum (a sum for which the sum of the ranks of the summands equals the rank of the given matrix) of indecomposable complex S-matrices is completely solved, and the uniqueness of such a decomposition is proved. |
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