Some matrix equations involving the weighted geometric mean

DOI10.1007/s43036-021-00165-yzbMath1480.15015OpenAlexW3208795080MaRDI QIDQ2062301

Xuan Dai Le, Dinh Trung Hoa, Tuan Cuong Pham, Lê Công-Trình

Publication date: 27 December 2021

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43036-021-00165-y

zbMATH Keywords

positive definite matricesfixed point theoremmatrix equationsweighted geometric meanmulti-step stationary iterative method

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Matrix equations and identities (15A24) Numerical methods for matrix equations (65F45)

Cites Work

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• The \(\alpha\)-\(z\)-Bures Wasserstein divergence
• Solvability for two forms of nonlinear matrix equations
• The inverse mean problem of geometric mean and contraharmonic means
• Positive definite solutions of certain nonlinear matrix equations

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