Symmetric \(\Gamma \)-submanifolds of positive definite matrices and the Sylvester equation \(XM=NX\)

DOI10.1016/j.laa.2011.04.025zbMath1278.15017OpenAlexW2064896741MaRDI QIDQ549288

Yongdo Lim

Publication date: 15 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.04.025

zbMATH Keywords

positive definite matrixSylvester equationsymmetric submanifold\(\mathbf K\)-matrixproduct of positive definite matrices

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Positive matrices and their generalizations; cones of matrices (15B48) Global submanifolds (53C40)

Related Items (1)

Factorizations and geometric means of positive definite matrices

Cites Work

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• The Geometric Mean, Matrices, Metrics, and More
• On the Extrapolated Jacobi or Simultaneous Displacements Method in the Solution of Matrix and Operator Equations
• On minimal solutions of the matrix equation \(AX-YB=0\)

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