The geometry of matrix eigenvalue methods |
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| Authors: | Gregory Ammar Clyde Martin |
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| Affiliation: | (1) Department of Mathematics, University of Kentucky, 40506 Lexington, KY, U.S.A.;(2) Department of Mathematics, Texas Tech University, 79402 Lubbock, TX, U.S.A. |
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| Abstract: | This paper explores the relations between the matrix Riccati equation and the standard matrix eigenvalue methods. It is demonstrated that the mathematics of the analysis of the two objects is essentially the same; consisting of the analysis of flows on the homogeneous spaces of various Lie groups.Supported in part by DOE Contract DE-ACOL-80RA-5256.Supported in part by DOE Contract DE-ACOL-80RA-5256 and by NASA Grant DAG2-82. |
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| Keywords: | 34C35 53C30 |
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