On matrix equations X±A*X−2A=I
Author:
Publisher
Elsevier BV
Subject
Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory
Reference8 articles.
1. On direct methods for solving Poisson's equations;Buzbee;SIAM J. Numer. Anal.,1970
2. iterative solution of two matrix equations;Guo;Math. Comput.,1999
3. 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
4. On the existence of a positive definite solution of the matrix equation X+ATX−1A=I;Engwerda;Linear Algebra Appl.,1993
5. Hermitian solutions of the the equation X=Q+NX−1N*;Ferrante;Linear Algebra Appl.,1996
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1. Efficient iterative schemes based on Newton's method and fixed-point iteration for solving nonlinear matrix equation Xp = Q±A(X−1+B)−1AT;Engineering Computations;2023-11-07
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4. On an inversion-free algorithm for the nonlinear matrix problem Xα+A∗X−βA+B∗X−γB=I,;International Journal of Computer Mathematics;2022-05-18
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