AbstractThe two matrix equations X+A*X−2A=I and X−A*X−2A=I are studied. We construct iterative methods for obtaining positive definite solutions of these equations. Sufficient conditions for the existence of two different solutions of the equation X+A*X−2A=I are derived. Sufficient conditions for the existence of positive definite solutions of the equation X−A*X−2A=I are given. Numerical experiments are discussed
In this paper, some properties of the positive definite solutions for the nonlinear system of matrix...
In this paper, the existence and uniqueness of the maximal positive definite solution of the nonline...
Abstract We consider two nonlinear matrix equations X r ± ∑ i = 1 m A i ∗ X δ i A i = I $X^{r} \pm \...
AbstractIn this paper we discuss some properties of a positive definite solution of the matrix equat...
AbstractIn this paper we investigate nonlinear matrix equations X+A*X−qA=Q and X−A*X−qA=Q where q∈(0...
AbstractSimple necessary and sufficient conditions for the matrix equation X + ATX−1A = I to have a ...
AbstractIn this paper we investigate nonlinear matrix equations X±A∗X−qA=Q where q≥1. We derive nece...
The matrix equation X + A*X-2A = I is studied. Some necessary and sufficient conditions for the exis...
AbstractThe Hermitian positive definite solutions of the matrix equation X+A*X−2A=I are studied. A n...
AbstractThe question is raised under which conditions on the real (square) matrix A the matrix equat...
AbstractThe two matrix equations Xs+ATX−tA=In and Xs−ATX−tA=In are studied. Based on the fixed-point...
AbstractThe nonlinear matrix equation X−1+A∗XαA=Q(0<α≤1) is equivalent to the nonlinear matrix equat...
AbstractThe present paper treats iterative methods for a class of nonlinear matrix equations X+A⋆X−α...
In this paper, necessary and sufficient conditions for the existence of the positive definite soluti...
AbstractIn this paper we consider the positive definite solutions of nonlinear matrix equation X+A⋆X...
In this paper, some properties of the positive definite solutions for the nonlinear system of matrix...
In this paper, the existence and uniqueness of the maximal positive definite solution of the nonline...
Abstract We consider two nonlinear matrix equations X r ± ∑ i = 1 m A i ∗ X δ i A i = I $X^{r} \pm \...
AbstractIn this paper we discuss some properties of a positive definite solution of the matrix equat...
AbstractIn this paper we investigate nonlinear matrix equations X+A*X−qA=Q and X−A*X−qA=Q where q∈(0...
AbstractSimple necessary and sufficient conditions for the matrix equation X + ATX−1A = I to have a ...
AbstractIn this paper we investigate nonlinear matrix equations X±A∗X−qA=Q where q≥1. We derive nece...
The matrix equation X + A*X-2A = I is studied. Some necessary and sufficient conditions for the exis...
AbstractThe Hermitian positive definite solutions of the matrix equation X+A*X−2A=I are studied. A n...
AbstractThe question is raised under which conditions on the real (square) matrix A the matrix equat...
AbstractThe two matrix equations Xs+ATX−tA=In and Xs−ATX−tA=In are studied. Based on the fixed-point...
AbstractThe nonlinear matrix equation X−1+A∗XαA=Q(0<α≤1) is equivalent to the nonlinear matrix equat...
AbstractThe present paper treats iterative methods for a class of nonlinear matrix equations X+A⋆X−α...
In this paper, necessary and sufficient conditions for the existence of the positive definite soluti...
AbstractIn this paper we consider the positive definite solutions of nonlinear matrix equation X+A⋆X...
In this paper, some properties of the positive definite solutions for the nonlinear system of matrix...
In this paper, the existence and uniqueness of the maximal positive definite solution of the nonline...
Abstract We consider two nonlinear matrix equations X r ± ∑ i = 1 m A i ∗ X δ i A i = I $X^{r} \pm \...
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