A class of marked invariant subspaces with an application to algebraic Riccati equations |
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| Authors: | Pudji Astuti [Author Vitae] |
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| Affiliation: | a Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Bandung 40132, Indonesia
b Mathematisches Institut, Universität Wuerzburg, D-97074 Wuerzburg, Germany |
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| Abstract: | Invariant subspaces of a matrix A are considered which are obtained by truncation of a Jordan basis of a generalized eigenspace of A. We characterize those subspaces which are independent of the choice of the Jordan basis. An application to Hamilton matrices and algebraic Riccati equations is given. |
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| Keywords: | Invariant subspaces Jordan chains Marked subspaces Algebraic Riccati equation Hamiltonian matrix |
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