On the existence of extremal positive definite solutions of the nonlinear matrix equation Xr+∑i=1mAi∗XδiAi=I
Author:
Publisher
Elsevier BV
Subject
Computer Science Applications,Modeling and Simulation
Reference12 articles.
1. On the nonlinear matrix equation X−∑i=1mAi∗XδiAi=Q;Duan;Linear Algebra Appl.,2008
2. On the existence of a positive definite solution of the matrix equation X−A∗X−12mA=I;El-Sayed;Int. J. Comput. Math.,2001
3. Iterative methods for the extremal positive definite solution of the matrix equation X+A∗X−αA=Q;Peng;Appl. Math. Comput.,2007
4. On the existence of extremal positive definite solutions of a kind of matrix;Ramadan;Int. J. Nonlinear Sci. Numer. Simul.,2005
5. Necessary and sufficient conditions to the existence of positive definite solution of the matrix equation X+ATX−2A=I;Ramadan;Int. J. Comput. Math.,2005
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2. On the perturbation analysis of the maximal solution for the matrix equation $$ X-\overset{m}{\sum \limits_{i=1}}{A}_i^{\ast}\kern0.1em {X}^{-1}\kern0.1em {A}_i+\sum \limits_{j=1}^n{B}_j^{\ast}\kern0.1em {X}^{-1}\kern0.1em {B}_j=I $$;Journal of the Egyptian Mathematical Society;2020-01-15
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