Functions of matrices with nonnegative entries

DOI10.1016/0024-3795(92)90268-FzbMath0745.15013MaRDI QIDQ1185047

Frank Hansen

Publication date: 28 June 1992

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

zbMATH Keywords

characterizationfunctions of matricespartial order relationmatrices with nonnegative entries

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)

Related Items (5)

Trace functions as Laplace transforms ⋮ Monotonicity for entrywise functions of matrices ⋮ On the convergence of numerical integration as a finite matrix approximation to multiplication operator ⋮ Preserving positivity for matrices with sparsity constraints ⋮ Preserving positivity for rank-constrained matrices

Cites Work

• Unnamed Item
• Jensen's inequality for operators and Loewner's theorem
• Construction of a Jacobi matrix from spectral data
• On functions which preserve the class of Stieltjes matrices
• Non-negative matrices and Markov chains.
• Monotone and Convex Operator Functions
• An operator inequality

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