Necessary and sufficient conditions for the existence of a positive definite solution of a nonlinear matrix equation

DOI10.1080/00207160802684442zbMath1203.15012OpenAlexW2088282585MaRDI QIDQ3056389

Yuan-Min Li, Xing Tao Wang

Publication date: 12 November 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160802684442

zbMATH Keywords

convergenceiterative algorithmexistencenumerical exampleserror estimationnonlinear matrix equationnecessary and sufficient conditionpositive definite solution

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (2)

Some investigation on Hermitian positive-definite solutions of a nonlinear matrix equation ⋮ On the matrix equation

Cites Work

• Operator inequalities associated with Hölder-McCarthy and Kantorovich inequalities
• On an Iteration Method for Solving a Class of Nonlinear Matrix Equations
• Iterative solution of two matrix equations
• Computing the Extremal Positive Definite Solutions of a Matrix Equation

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