Matrix partial fraction expansions of rational matrices |
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| Authors: | Yen-Lei Ling Bor-Chyun Wang |
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| Affiliation: | National Chiao Tung University, Hsinchu, Taiwan, Republic of China; |
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| Abstract: | A general and rigorous derivation is made of a new formula, established recently in the literature, for matrix partial fraction expansion of a rational matrix. The procedure, by use of a minimal Jordan realization of the rational matrix, provides as a byproduct, general expressions for residue matrices in terms of products of columns of the output matrix and rows of the input matrix of the realization. |
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