Add to ORKGAbstract. We study the sensitivity of the solution of a general type matrix equation Q ± AHXpA −X = 0. Local and nonlocal perturbation bounds are derived. The results are obtained using the technique of Lyapunov majorants and fixed point principles. A numerical example is given.
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...
AbstractThe paper deals with the associated algebraic matrix Riccati equation (AAMRE), closely relat...
Abstract. We study the sensitivity of the solution of a general type matrix equation Q ± AHXpA −X = ...
A general framework is presented for the local and non-local perturbation analysis of general real a...
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...
Consider the nonlinear matrix equation X + A*X-2 A = I, where A is an n x n complex matrix, I the id...
This paper concerns the mixed-type Lyapunov equation where and are complex matrices and the conjugat...
summary:The paper presents the technique of splitting operators, intended for perturbation analysis ...
AbstractConsider the nonlinear matrix equationX+A∗X−1A=P,where A, P are n×n complex matrices with P ...
In this paper, we study the sensitivity and second order perturbation expansions of simple nonzero f...
AbstractConsider the nonlinear matrix equationX+A∗X−1A=P,where A,P are n×n complex matrices with P H...
AbstractWe give new and improved perturbation estimates for the solution of the matrix quadratic equ...
The paper deals with the associated algebraic matrix Riccati equa-tion (AAMRE), closely related to t...
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...
AbstractThe paper deals with the associated algebraic matrix Riccati equation (AAMRE), closely relat...
Abstract. We study the sensitivity of the solution of a general type matrix equation Q ± AHXpA −X = ...
A general framework is presented for the local and non-local perturbation analysis of general real a...
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...
Consider the nonlinear matrix equation X + A*X-2 A = I, where A is an n x n complex matrix, I the id...
This paper concerns the mixed-type Lyapunov equation where and are complex matrices and the conjugat...
summary:The paper presents the technique of splitting operators, intended for perturbation analysis ...
AbstractConsider the nonlinear matrix equationX+A∗X−1A=P,where A, P are n×n complex matrices with P ...
In this paper, we study the sensitivity and second order perturbation expansions of simple nonzero f...
AbstractConsider the nonlinear matrix equationX+A∗X−1A=P,where A,P are n×n complex matrices with P H...
AbstractWe give new and improved perturbation estimates for the solution of the matrix quadratic equ...
The paper deals with the associated algebraic matrix Riccati equa-tion (AAMRE), closely related to t...
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...
AbstractThe paper deals with the associated algebraic matrix Riccati equation (AAMRE), closely relat...