The Schur Product Theorem in the Block Case

DOI10.2307/2047941zbMath0688.15005OpenAlexW4238542378MaRDI QIDQ4206880

Dipa Choudhury

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2047941

zbMATH Keywords

Hadamard productsHermitian matrixSchur product theoremmatrix functionsblock matrixpositive semidefinite matrix

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (3)

Some functions preserving positive semidefiniteness of \(2\times 2\) block matrices ⋮ Positivity of matrices with generalized matrix functions ⋮ Schur's theorem for a block Hadamard product

Cites Work

• On fractional Hadamard powers of positive definite matrices
• Transformations on partitioned matrices
• Partitioned Hermitian matrices
• A Determinantal Inequality for Positive Definite Matrices
• Matrix Analysis
• The Theory of Infinitely Divisible Matrices and Kernels

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