Preserving positivity for matrices with sparsity constraints

DOI10.1090/tran6669zbMath1350.15014arXiv1406.3408OpenAlexW3098909886MaRDI QIDQ2822725

Apoorva Khare, Dominique Guillot, Bala Rajaratnam

Publication date: 4 October 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.3408

zbMATH Keywords

numerical rangelinear preserver problemabsolutely monotonic functionsLoewner orderingpositive semidefinitenessentrywise positive mapsfractional Schur powersmatrices with structure of zerosLoewner positivitymultiplicatively convex functions

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Linear preserver problems (15A86)

Related Items (9)

Matrix positivity preservers in fixed dimension. I ⋮ Constructing positive definite polynomials ⋮ A panorama of positivity. II: Fixed dimension ⋮ The critical exponent: a novel graph invariant ⋮ Matrix positivity preservers in fixed dimension ⋮ Schur polynomials and matrix positivity preservers ⋮ Hadamard powers of some positive matrices ⋮ Hadamard powers of rank two, doubly nonnegative matrices ⋮ Preserving positivity for rank-constrained matrices

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