On the Hermitian positive definite solutions of nonlinear matrix equation \(X^s + A^\ast X^{-t_1} A + B^\ast X^{-t_2} B = Q\)
From MaRDI portal
Publication:410291
DOI10.1155/2011/163585zbMath1235.15033OpenAlexW2154306128WikidataQ58692726 ScholiaQ58692726MaRDI QIDQ410291
Publication date: 3 April 2012
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2011/163585
Related Items (10)
On an inversion-free algorithm for the nonlinear matrix problem Xα+A∗X−βA+B∗X−γB=I, ⋮ On the iterative method for the system of nonlinear matrix equations ⋮ On the positive definite solution of a class of pair of nonlinear matrix equations ⋮ The maximal positive definite solution of the nonlinear matrix equation \(X + A^*X^{-1}A+B^*X^{-1}B = I \) ⋮ Quasi gradient-based inversion-free iterative algorithm for solving a class of the nonlinear matrix equations ⋮ Least squares based iterative algorithm for the coupled Sylvester matrix equations ⋮ Solution of a class of nonlinear matrix equations ⋮ Latest inversion-free iterative scheme for solving a pair of nonlinear matrix equations ⋮ Solving two generalized nonlinear matrix equations ⋮ The inversion-free iterative methods for solving the nonlinear matrix equation \(X + A^H X^{- 1} A + B^H X^{- 1} B = I\)
Cites Work
- Unnamed Item
- Unnamed Item
- On the Hermitian positive definite solutions of nonlinear matrix equation \(X^s + A^*X^{-t}A = Q\)
- On the Hermitian positive defnite solution of the nonlinear matrix equation \(X + A^*X ^{-1} A + B^*X ^{-1} B = I\)
- Iterative methods for the extremal positive definite solution of the matrix equation \(X+A^{*}X^{-\alpha}A=Q\)
- Positive solutions to \(X=A-BX^{-1}B^*\)
- On the existence of Hermitian positive definite solutions of the matrix equation \(X^s+A^*X^{-t}A=Q\)
- Some investigation on Hermitian positive definite solutions of the matrix equation \(X^s+A^*X^{-t}A=Q\)
- On the existence of a positive definite solution of the matrix equation \(X+A^ T X^{-1} A=I\)
- Operator inequalities associated with Hölder-McCarthy and Kantorovich inequalities
- Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation \(X+A^*X^{-1}A=Q\)
- Positive definite solutions of the matrix equations \(X\pm A^{\ast}X^{-q} A=Q\)
- On the positive definite solutions of nonlinear matrix equation \(X+A^*x^{-\delta}A=Q\).
- Computing the Extremal Positive Definite Solutions of a Matrix Equation
- Perturbation analysis for the eigenproblem of periodic matrix pairs
This page was built for publication: On the Hermitian positive definite solutions of nonlinear matrix equation \(X^s + A^\ast X^{-t_1} A + B^\ast X^{-t_2} B = Q\)
