AbstractThe question is raised under which conditions on the real (square) matrix A the matrix equation X+ATX−1A=I has a real symmetric positive definite solution X. Both necessary and sufficient solvability conditions on A are derived. Moreover, we give an algorithm to calculate the solution. For a number of special cases we also present an analytic solution
AbstractIn this paper, the existence of Hermitian positive definite solutions of the general nonline...
AbstractGiven the equations AX = XAT and AX = YB with arbitrary nonzero real matrices A and B of the...
AbstractThe nonlinear matrix equation X+A*X-nA=Q and properties of its positive definite solutions a...
AbstractThe question is raised under which conditions on the real (square) matrix A the matrix equat...
AbstractSimple necessary and sufficient conditions for the matrix equation X + ATX−1A = I to have a ...
AbstractIn this paper we discuss some properties of a positive definite solution of the matrix equat...
AbstractThe two matrix equations Xs+ATX−tA=In and Xs−ATX−tA=In are studied. Based on the fixed-point...
The matrix equation X + A*X-2A = I is studied. Some necessary and sufficient conditions for the exis...
AbstractThe two matrix equations X+A*X−2A=I and X−A*X−2A=I are studied. We construct iterative metho...
AbstractWe consider the problem of when the matrix equation X + A∗X-1A = Q has a positive definite s...
In this paper, necessary and sufficient conditions for the existence of the positive definite soluti...
AbstractIn this paper we investigate nonlinear matrix equations X+A*X−qA=Q and X−A*X−qA=Q where q∈(0...
AbstractThe Hermitian positive definite solutions of the matrix equation X+A*X−2A=I are studied. A n...
AbstractIn this paper we investigate nonlinear matrix equations X±A∗X−qA=Q where q≥1. We derive nece...
Necessary and sufficient conditions for the existence of a positive definite solution of the matrix ...
AbstractIn this paper, the existence of Hermitian positive definite solutions of the general nonline...
AbstractGiven the equations AX = XAT and AX = YB with arbitrary nonzero real matrices A and B of the...
AbstractThe nonlinear matrix equation X+A*X-nA=Q and properties of its positive definite solutions a...
AbstractThe question is raised under which conditions on the real (square) matrix A the matrix equat...
AbstractSimple necessary and sufficient conditions for the matrix equation X + ATX−1A = I to have a ...
AbstractIn this paper we discuss some properties of a positive definite solution of the matrix equat...
AbstractThe two matrix equations Xs+ATX−tA=In and Xs−ATX−tA=In are studied. Based on the fixed-point...
The matrix equation X + A*X-2A = I is studied. Some necessary and sufficient conditions for the exis...
AbstractThe two matrix equations X+A*X−2A=I and X−A*X−2A=I are studied. We construct iterative metho...
AbstractWe consider the problem of when the matrix equation X + A∗X-1A = Q has a positive definite s...
In this paper, necessary and sufficient conditions for the existence of the positive definite soluti...
AbstractIn this paper we investigate nonlinear matrix equations X+A*X−qA=Q and X−A*X−qA=Q where q∈(0...
AbstractThe Hermitian positive definite solutions of the matrix equation X+A*X−2A=I are studied. A n...
AbstractIn this paper we investigate nonlinear matrix equations X±A∗X−qA=Q where q≥1. We derive nece...
Necessary and sufficient conditions for the existence of a positive definite solution of the matrix ...
AbstractIn this paper, the existence of Hermitian positive definite solutions of the general nonline...
AbstractGiven the equations AX = XAT and AX = YB with arbitrary nonzero real matrices A and B of the...
AbstractThe nonlinear matrix equation X+A*X-nA=Q and properties of its positive definite solutions a...
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