Title of article
Properties of positive definite solutions of the equation X + A*X−2A = I Original Research Article
Author/Authors
Ivan G. Ivanov، نويسنده , , Salah M. El-sayed، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1998
Pages
14
From page
303
To page
316
Abstract
In this paper we discuss some properties of a positive definite solution of the matrix equation X + A*X−2 A = I. Two effective iterative methods for computing a positive definite solution of this equation are proposed. Necessary and sufficient conditions for existence of a positive definite solution are derived. Numerical experiments are executed with these methods.
Keywords
Matrix equation , Positive definite solution , iterative method
Journal title
Linear Algebra and its Applications
Serial Year
1998
Journal title
Linear Algebra and its Applications
Record number
822474
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