On the Hermitian positive definite solution and Newton's method for a nonlinear matrix equation

DOI10.1080/03081087.2019.1659222zbMath1475.15019OpenAlexW2969405204WikidataQ127331975 ScholiaQ127331975MaRDI QIDQ5158085

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Publication date: 21 October 2021

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2019.1659222

zbMATH Keywords

convergence analysisNewton methodnonlinear matrix equationHermitian positive definite solution

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Numerical methods for matrix equations (65F45)

Cites Work

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• ON THE NONLINEAR MATRIX EQUATION <TEX>$X+\sum_{i=1}^{m}A_i^*X^{-q}A_i=Q$</TEX>(0＜q≤1)
• A matrix LSQR iterative method to solve matrix equationAXB=C

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