AbstractIn the present paper, we suggest two iteration methods for obtaining positive definite solutions of nonlinear matrix equation X - A*X−nA = Q, for the integer n ≥ 1. We obtain sufficient conditions for existence of the solutions for the matrix equation. Finally, some numerical examples to illustrate the effectiveness of the algorithms and some remarks
The positive definite solutions for the system of nonlinear matrix equations + * − = , + * − = are c...
AbstractIn this paper, we introduce a new inversion free variant of the basic fixed point iteration ...
We consider the nonlinear matrix equation X=Q+A∗(X^−C)−1A, where Q is positive definite, C is positi...
AbstractIn the present paper, we suggest two iteration methods for obtaining positive definite solut...
AbstractIn this paper we consider the positive definite solutions of nonlinear matrix equation X+A⋆X...
AbstractIn this paper we investigate nonlinear matrix equations X±A∗X−qA=Q where q≥1. We derive nece...
AbstractIn this paper we investigate nonlinear matrix equations X+A*X−qA=Q and X−A*X−qA=Q where q∈(0...
We discuss the positive definite solutions for the system of nonlinear matrix equations and , where...
AbstractIn this paper, the inversion free variant of the basic fixed point iteration methods for obt...
AbstractIn this paper we discuss some properties of a positive definite solution of the matrix equat...
In several recent papers, a one-sided iterative process for computing positive definite solu-tions o...
AbstractThe nonlinear matrix equation X+A*X-nA=Q and properties of its positive definite solutions a...
In this paper, some properties of the positive definite solutions for the nonlinear system of matrix...
In this paper, we study the matrix equation X + AX?1A + BX?1B = Q, where A and B are square matrices...
In this paper, necessary and sufficient conditions for the existence of the positive definite soluti...
The positive definite solutions for the system of nonlinear matrix equations + * − = , + * − = are c...
AbstractIn this paper, we introduce a new inversion free variant of the basic fixed point iteration ...
We consider the nonlinear matrix equation X=Q+A∗(X^−C)−1A, where Q is positive definite, C is positi...
AbstractIn the present paper, we suggest two iteration methods for obtaining positive definite solut...
AbstractIn this paper we consider the positive definite solutions of nonlinear matrix equation X+A⋆X...
AbstractIn this paper we investigate nonlinear matrix equations X±A∗X−qA=Q where q≥1. We derive nece...
AbstractIn this paper we investigate nonlinear matrix equations X+A*X−qA=Q and X−A*X−qA=Q where q∈(0...
We discuss the positive definite solutions for the system of nonlinear matrix equations and , where...
AbstractIn this paper, the inversion free variant of the basic fixed point iteration methods for obt...
AbstractIn this paper we discuss some properties of a positive definite solution of the matrix equat...
In several recent papers, a one-sided iterative process for computing positive definite solu-tions o...
AbstractThe nonlinear matrix equation X+A*X-nA=Q and properties of its positive definite solutions a...
In this paper, some properties of the positive definite solutions for the nonlinear system of matrix...
In this paper, we study the matrix equation X + AX?1A + BX?1B = Q, where A and B are square matrices...
In this paper, necessary and sufficient conditions for the existence of the positive definite soluti...
The positive definite solutions for the system of nonlinear matrix equations + * − = , + * − = are c...
AbstractIn this paper, we introduce a new inversion free variant of the basic fixed point iteration ...
We consider the nonlinear matrix equation X=Q+A∗(X^−C)−1A, where Q is positive definite, C is positi...
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