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On Hermitian positive definite solutions of a nonlinear matrix equation

Journal of Fixed Point Theory and Applications, 2021
Mohsen Masoudi, Abbas Salemi
exaly  

Positive definite solutions of the nonlinear matrix equation X+AHX¯-1A=I

Applied Mathematics and Computation, 2013
James Lam, Bin Zhou
exaly  

Positive definite solutions of a nonlinear matrix equation

In this paper we investigate the positive definite solutions of a special nonlinear matrix equation. Sufficient conditions for existence positive definite solutions of the described equation are derived. Two algorithms for numerical computing of these solutions are given.
openaire   +1 more source

A new preconditioner for the parallel solution of positive definite Toeplitz systems

Proceedings of the second annual ACM symposium on Parallel algorithms and architectures - SPAA '90, 1990
BINI, DARIO ANDREA, Di Benedetto F.
openaire   +3 more sources

Properties of positive definite solutions of the equation X + A∗X−2A = I

Linear Algebra and Its Applications, 1998
Ivan Ivanov, Salah M El-Sayed
exaly  

Positive definite solutions of the matrix equationsX±A∗X−qA=Q(q≥1)

Computers and Mathematics With Applications, 2010
Sanyang Liu
exaly  

Iterative positive definite solutions of the two nonlinear matrix equations X±ATX−2A=I

Applied Mathematics and Computation, 2005
Mohamed Ramadan, Talaat S El-Danaf
exaly  

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