On the geometrical structure of symmetric matrices

DOI10.1016/j.laa.2012.07.048zbMath1264.15043OpenAlexW2019183600MaRDI QIDQ1931730

Pablo Tarazaga, Roberto Andreani, Marcos Raydan

Publication date: 16 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.07.048

zbMATH Keywords

Frobenius normsymmetric matricesorthogonal matricescones of matricesFrobenius condition numberFrobenius inner product

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic systems of matrices (15A30) Conditioning of matrices (15A12) Orthogonal matrices (15B10)

Related Items

Geometrical inverse matrix approximation for least-squares problems and acceleration strategies ⋮ Geometrical and spectral properties of the orthogonal projections of the identity ⋮ On the structure of the set of symmetric matrices with the Perron-Frobenius property ⋮ Geometrical inverse preconditioning for symmetric positive definite matrices

Cites Work

• More estimates for eigenvalues and singular values
• Eigenvalue estimates for symmetric matrices
• Geometrical properties of the Frobenius condition number for positive definite matrices
• Functions of Matrices

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