On the nonlinear matrix equation X+A∗F(X)A=Q: solutions and perturbation theory
Author:
Publisher
Elsevier BV
Subject
Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory
Reference10 articles.
1. A Primer of Nonlinear Analysis;Ambrosetti,1993
2. Positive solutions to X=A−BX−1B∗;Anderson;Linear Algebra Appl.,1990
3. Matrix Analysis;Bhatia,1997
4. S.M. El-Sayed, A.C.M. Ran, On an iteration method for solving a class of nonlinear matrix equations, SIAM J. Matrix Anal. (to appear)
5. Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation X+A∗X−1A=Q;Engwerda;Linear Algebra Appl.,1993
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