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Perturbation analysis of the maximal solution of the matrix equation X+A* X-1 A = P. II
Umeå University, Faculty of Science and Technology, Departement of Computing Science.
2003 (English)In: Linear Algebra and Its Applications, Vol. 362, 211-228 p.Article in journal (Refereed) Published
Abstract [en]

Consider the nonlinear matrix equation X + A*X(-1)A = P, where A, P are n x n complex matrices with P Hermitian positive definite, and A* denotes the conjugate transpose of a matrix A. In this paper A sharper perturbation bound for the maximal solution to the matrix equation is derived, explicit expressions of the condition number for the maximal solution are obtained, and the backward error of an approximate solution to the maximal solution is evaluated by using the techniques developed in [Linear Algebra Appl. 259 (1997) 183; Linear Algebra Appl. 350 (2002) 237]. The, results are illustrated by using numerical examples. (C) 2002 Elsevier Science Inc. All rights reserved.

Place, publisher, year, edition, pages
2003. Vol. 362, 211-228 p.
URN: urn:nbn:se:umu:diva-22017ISBN: 0024-3795OAI: diva2:212282
Available from: 2009-04-21 Created: 2009-04-21 Last updated: 2009-04-21

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