The maximal positive definite solution of the nonlinear matrix equation $$X + A^{}X^{-1}A+B^{}X^{-1}B = I $$

K. Sayevand, Raziyeh Erfanifar, Hamid Esmaeili

2022Mathematical sciences11 citationsDOI

Topics & Concepts

MathematicsPositive-definite matrixNonlinear systemIterative methodMatrix (chemical analysis)Inversion (geology)Fixed-point iterationMathematical analysisApplied mathematicsFixed pointAlgorithmQuantum mechanicsMaterials scienceBiologyComposite materialPaleontologyEigenvalues and eigenvectorsPhysicsStructural basinMatrix Theory and AlgorithmsAdvanced Optimization Algorithms ResearchIterative Methods for Nonlinear Equations

The maximal positive definite solution of the nonlinear matrix equation $$X + A^{*}X^{-1}A+B^{*}X^{-1}B = I $$

Topics & Concepts

The maximal positive definite solution of the nonlinear matrix equation $$X + A^{}X^{-1}A+B^{}X^{-1}B = I $$