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Publication:2724520
zbMath0978.65032MaRDI QIDQ2724520
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Publication date: 12 February 2002
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Fixed point theorem in ordered Banach spaces and applications to matrix equations ⋮ Solving system of nonlinear matrix equations over Hermitian positive definite matrices ⋮ On Hermitian positive definite solutions of matrix equation \(X+A^{\ast} X^{-2} A=I\). ⋮ On the existence of Hermitian positive definite solutions of the matrix equation \(X^s+A^*X^{-t}A=Q\) ⋮ On positive definite solutions of the nonlinear matrix equations \(X \pm A^* X^q A = Q\) ⋮ Perturbation analysis of the Hermitian positive definite solution of the matrix equation \(X-A^{\ast}X^{-2} A = I\) ⋮ Some investigation on Hermitian positive definite solutions of the matrix equation \(X^s+A^*X^{-t}A=Q\) ⋮ On the positive definite solutions of nonlinear matrix equation \(X+A^*x^{-\delta}A=Q\). ⋮ On the nonlinear matrix equation \(X+A^*{\mathcal F}(X)A=Q\): solutions and perturbation theory
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