Adjoint matrix, Bezout theorem, Cayley-Hamilton theorem, and Fadeev's method for the matrix pencil(sE-A)
- 1 January 1983
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 1282-1288
- https://doi.org/10.1109/cdc.1983.269734
Abstract
The use of the, adjoint matrix for finding eigenvectors, the Bezout theorem, the Cayley-Hamilton theorem, Fadeev's method, and other results are generalized to the case of a regular matrix pencil (sE-A) where E and A may both in general be singular. The notion of minor of A relative to E is introduced to study the interactions of the two matrices.Keywords
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