A two-sided iterative method for computing positive definite solutions of a nonlinear matrix equation
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Publication:4461783
DOI10.1017/S1446181100013201zbMath1054.65041MaRDI QIDQ4461783
Publication date: 18 May 2004
Published in: The ANZIAM Journal (Search for Journal in Brave)
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Related Items (8)
On the existence of a positive definite solution of the matrix equation ⋮ On an inversion-free algorithm for the nonlinear matrix problem Xα+A∗X−βA+B∗X−γB=I, ⋮ Positive definite solution of a nonlinear matrix equation ⋮ Positive definite solutions of the nonlinear matrix equation \(X + A^H\bar{X}^{-1}A = I\) ⋮ A new inversion free iteration for solving the equation \(X + A^{\star} X^{-1} A = Q\) ⋮ Two iteration processes for computing positive definite solutions of the equation \(X-A^*X^{-n}A=Q\) ⋮ An algorithm for computing positive definite solutions of the nonlinear matrix equationX + A*X−1A = I ⋮ Properties of positive definite solutions of the equation \(X+A^*X^{-2}A=I\)
Cites Work
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- Positive solutions to \(X=A-BX^{-1}B^*\)
- Properties of positive definite solutions of the equation \(X+A^*X^{-2}A=I\)
- On the existence of a positive definite solution of the matrix equation \(X+A^ T X^{-1} A=I\)
- Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation \(X+A^*X^{-1}A=Q\)
- On the matrix equation \(X+A^ TX^{-1}A=I\)
- Iterative solution of two matrix equations
- Computing the Extremal Positive Definite Solutions of a Matrix Equation
- On Direct Methods for Solving Poisson’s Equations
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