On Hermitian Positive Definite Solutions of Matrix Equation X−A∗X−2A=I
Year: 2005
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 4 : pp. 408–418
Abstract
The Hermitian positive definite solutions of the matrix equation X−A∗X−2A=I are studied. A theorem for existence of solutions is given for every complex matrix A. A solution in case A is normal is given. The basic fixed point iterations for the equation are discussed in detail. Some convergence conditions of the basic fixed point iterations to approximate the solutions to the equation are given.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-JCM-8827
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 4 : pp. 408–418
Published online: 2005-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Matrix equation Positive definite solution Iterative methods.