Two iteration processes for computing positive definite solutions of the equation \(X-A^*X^{-n}A=Q\)
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Publication:5948734
DOI10.1016/S0898-1221(00)00301-1zbMath0984.65043OpenAlexW2092962117MaRDI QIDQ5948734
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Publication date: 12 November 2001
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0898-1221(00)00301-1
performancealgorithmnumerical examplespositive definite solutionsnonlinear matrix equationfixed-point iterative methods
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Related Items (17)
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Cites Work
- 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 \(X+A^ T X^{-1} A=I\)
- On the matrix equation \(X+A^ TX^{-1}A=I\)
- Hermitian solutions of the equation \(X=Q+NX^{-1}N^*\)
- On an Iteration Method for Solving a Class of Nonlinear Matrix Equations
- Iterative solution of two matrix equations
- A two-sided iterative method for computing positive definite solutions of a nonlinear matrix equation
- On the existence of a positive definite solution of the matrix equation
- Unnamed Item
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