AbstractThe present paper treats iterative methods for a class of nonlinear matrix equations X+A⋆X−αA=I, with two cases: α⩾1 and 0<α<1. Here, the matrix A is nonsingular. We will derive the necessary and sufficient conditions for the existence of positive definite solutions
AbstractConsider the nonlinear matrix equation X-A∗X-pA=Q with 0<p⩽1. This paper shows that there ex...
AbstractThe two matrix equations Xs+ATX−tA=In and Xs−ATX−tA=In are studied. Based on the fixed-point...
AbstractIn this paper we consider the positive definite solutions of nonlinear matrix equation X+A⋆X...
AbstractIn this paper we consider the positive definite solutions of nonlinear matrix equation X+A⋆X...
In this paper we study iterative computing a positive definite solution of the matrixequation X-A^{*...
AbstractThe nonlinear matrix equation X−1+A∗XαA=Q(0<α≤1) is equivalent to the nonlinear matrix equat...
AbstractIn this paper, the inversion free variant of the basic fixed point iteration methods for obt...
AbstractThe present paper treats iterative methods for a class of nonlinear matrix equations X+A⋆X−α...
AbstractIn this paper we investigate nonlinear matrix equations X+A*X−qA=Q and X−A*X−qA=Q where q∈(0...
AbstractIn this paper we investigate nonlinear matrix equations X±A∗X−qA=Q where q≥1. We derive nece...
AbstractIn the present paper, we suggest two iteration methods for obtaining positive definite solut...
AbstractIn this paper we discuss some properties of a positive definite solution of the matrix equat...
AbstractThe Hermitian positive definite solutions of the matrix equation X+A*X−2A=I are studied. A n...
AbstractIn this paper, the nonlinear matrix equation Xs+A∗X-tA=Q is investigated. Necessary conditio...
AbstractBased on fixed point theorems for monotone and mixed monotone operators in a normal cone, we...
AbstractConsider the nonlinear matrix equation X-A∗X-pA=Q with 0<p⩽1. This paper shows that there ex...
AbstractThe two matrix equations Xs+ATX−tA=In and Xs−ATX−tA=In are studied. Based on the fixed-point...
AbstractIn this paper we consider the positive definite solutions of nonlinear matrix equation X+A⋆X...
AbstractIn this paper we consider the positive definite solutions of nonlinear matrix equation X+A⋆X...
In this paper we study iterative computing a positive definite solution of the matrixequation X-A^{*...
AbstractThe nonlinear matrix equation X−1+A∗XαA=Q(0<α≤1) is equivalent to the nonlinear matrix equat...
AbstractIn this paper, the inversion free variant of the basic fixed point iteration methods for obt...
AbstractThe present paper treats iterative methods for a class of nonlinear matrix equations X+A⋆X−α...
AbstractIn this paper we investigate nonlinear matrix equations X+A*X−qA=Q and X−A*X−qA=Q where q∈(0...
AbstractIn this paper we investigate nonlinear matrix equations X±A∗X−qA=Q where q≥1. We derive nece...
AbstractIn the present paper, we suggest two iteration methods for obtaining positive definite solut...
AbstractIn this paper we discuss some properties of a positive definite solution of the matrix equat...
AbstractThe Hermitian positive definite solutions of the matrix equation X+A*X−2A=I are studied. A n...
AbstractIn this paper, the nonlinear matrix equation Xs+A∗X-tA=Q is investigated. Necessary conditio...
AbstractBased on fixed point theorems for monotone and mixed monotone operators in a normal cone, we...
AbstractConsider the nonlinear matrix equation X-A∗X-pA=Q with 0<p⩽1. This paper shows that there ex...
AbstractThe two matrix equations Xs+ATX−tA=In and Xs−ATX−tA=In are studied. Based on the fixed-point...
AbstractIn this paper we consider the positive definite solutions of nonlinear matrix equation X+A⋆X...
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