AbstractConsider the nonlinear matrix equation X-A∗X-pA=Q with 0<p⩽1. This paper shows that there exists a unique positive definite solution to the equation. A perturbation bound and the backward error of an approximate solution to this solution is evaluated. We also obtain explicit expressions of the condition number for the unique positive definite solution. The theoretical results are illustrated by numerical examples
AbstractIn this paper we investigate nonlinear matrix equations X±A∗X−qA=Q where q≥1. We derive nece...
Consider the nonlinear matrix equation X + A*X-2 A = I, where A is an n x n complex matrix, I the id...
AbstractConsider the nonlinear matrix equation X-A∗X-pA=Q with 0<p⩽1. This paper shows that there ex...
AbstractThe nonlinear matrix equations X±A*X−nA=Q are investigated. New perturbation estimates for p...
AbstractIn this paper we investigate the nonlinear matrix equation X+ATX−1A=P, for the existence of ...
AbstractConsider the nonlinear matrix equationX+A∗X−1A=P,where A,P are n×n complex matrices with P H...
AbstractIn this paper, the nonlinear matrix equation Xs+A∗X-tA=Q is investigated. Necessary conditio...
In this paper we investigate the nonlinear matrix equation X+ATX−1A=P, for the existence of positive...
AbstractConsider the nonlinear matrix equation X−A*X−2A=I, where A is an n×n complex matrix, I the i...
AbstractConsider the nonlinear matrix equationX+A∗X−1A=P,where A, P are n×n complex matrices with P ...
AbstractConsider the nonlinear matrix equationX=Q+AH(X−C)−1A,where Q is an n×n Hermitian positive de...
Consider the nonlinear matrix equation X + A*X(-1)A = P, where A, P are n x n complex matrices...
Consider the nonlinear matrix equation X + A*X(-1)A = P, where A, P are n x n complex matrices...
Consider the nonlinear matrix equation X-A*X(-2)A = I, where A is an n x n complex matrix, I the ide...
We consider the nonlinear matrix equation X=Q+A∗(X^−C)−1A, where Q is positive definite, C is positi...
AbstractIn this paper we investigate nonlinear matrix equations X±A∗X−qA=Q where q≥1. We derive nece...
Consider the nonlinear matrix equation X + A*X-2 A = I, where A is an n x n complex matrix, I the id...
AbstractConsider the nonlinear matrix equation X-A∗X-pA=Q with 0<p⩽1. This paper shows that there ex...
AbstractThe nonlinear matrix equations X±A*X−nA=Q are investigated. New perturbation estimates for p...
AbstractIn this paper we investigate the nonlinear matrix equation X+ATX−1A=P, for the existence of ...
AbstractConsider the nonlinear matrix equationX+A∗X−1A=P,where A,P are n×n complex matrices with P H...
AbstractIn this paper, the nonlinear matrix equation Xs+A∗X-tA=Q is investigated. Necessary conditio...
In this paper we investigate the nonlinear matrix equation X+ATX−1A=P, for the existence of positive...
AbstractConsider the nonlinear matrix equation X−A*X−2A=I, where A is an n×n complex matrix, I the i...
AbstractConsider the nonlinear matrix equationX+A∗X−1A=P,where A, P are n×n complex matrices with P ...
AbstractConsider the nonlinear matrix equationX=Q+AH(X−C)−1A,where Q is an n×n Hermitian positive de...
Consider the nonlinear matrix equation X + A*X(-1)A = P, where A, P are n x n complex matrices...
Consider the nonlinear matrix equation X + A*X(-1)A = P, where A, P are n x n complex matrices...
Consider the nonlinear matrix equation X-A*X(-2)A = I, where A is an n x n complex matrix, I the ide...
We consider the nonlinear matrix equation X=Q+A∗(X^−C)−1A, where Q is positive definite, C is positi...
AbstractIn this paper we investigate nonlinear matrix equations X±A∗X−qA=Q where q≥1. We derive nece...
Consider the nonlinear matrix equation X + A*X-2 A = I, where A is an n x n complex matrix, I the id...
AbstractConsider the nonlinear matrix equation X-A∗X-pA=Q with 0<p⩽1. This paper shows that there ex...
DOI
Add to ORKG