Block-diagonalization and block-triangularization of a matrix via the matrix sign function
- 1 November 1984
- journal article
- research article
- Published by Taylor & Francis in International Journal of Systems Science
- Vol. 15 (11) , 1203-1220
- https://doi.org/10.1080/00207728408926636
Abstract
A matrix sign function in conjunction with a geometric approach is utilized to construct a block modal matrix and a (scalar) modal matrix of a system map, so that the system map can be block-diagonalized and block-triangularized, and that the Riccati-type problems can be solved.Keywords
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