Fractional Hadamard powers of positive semidefinite matrices.

DOI10.1016/S0024-3795(03)00421-XzbMath1041.15012OpenAlexW2045862997MaRDI QIDQ1406282

D. Massart

Publication date: 9 September 2003

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(03)00421-x

zbMATH Keywords

Hadamard productcloudGram matrixfractional Hadamard powerHadamard independent matrixHadamard spanmultiplicative tracePositive semidefinite matrixquasi linearly independent set

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Algebraic systems of matrices (15A30)

Related Items (5)

Rank of a Hadamard product ⋮ A fractional Traub-Steffensen-type method for solving nonlinear equations ⋮ Eigenvalues of Hadamard powers of large symmetric Pascal matrices ⋮ Iterative least-squares solutions of coupled sylvester matrix equations ⋮ Hadamard powers of rank two, doubly nonnegative matrices

Cites Work

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• Functions operating on positive-definite symmetric matrices
• Rang des matrices hermitiennes semi-definies positives indefiniment divisibles
• On fractional Hadamard powers of positive definite matrices
• Matrix Analysis
• When Does A ∗ A = B ∗ B and Why Does One Want to Know?
• The Theory of Infinitely Divisible Matrices and Kernels

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