Positive semidefiniteness of a \(3\times 3\) matrix related to partitioning

DOI10.1016/j.laa.2013.12.037zbMath1286.15043OpenAlexW77664112MaRDI QIDQ2442379

Stephen W. Drury

Publication date: 3 April 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2013.12.037

zbMATH Keywords

positive semidefinite matrixtrace normpartitioned matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (4)

Inequalities for generalized matrix function and inner product ⋮ On a conjecture concerning interpolation by bivariate Bernstein polynomials ⋮ Positivity of partitioned Hermitian matrices with unitarily invariant norms ⋮ Angles, triangle inequalities, correlation matrices and metric-preserving and subadditive functions

Uses Software

• mftoolbox

Cites Work

• Partitioned Hermitian matrices
• Functions of Matrices
• Unnamed Item

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