On fractional Hadamard powers of positive definite matrices
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Publication:1257535
DOI10.1016/0022-247X(77)90167-6zbMath0406.15006MaRDI QIDQ1257535
Roger A. Horn, Carl H. FitzGerald
Publication date: 1977
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Miscellaneous inequalities involving matrices (15A45) Quadratic and bilinear forms, inner products (15A63)
Related Items (45)
Bidiagonal decompositions and total positivity of some special matrices ⋮ Smooth entrywise positivity preservers, a Horn–Loewner master theorem, and symmetric function identities ⋮ Matrix positivity preservers in fixed dimension. I ⋮ Monotonicity for entrywise functions of matrices ⋮ Schur polynomials, entrywise positivity preservers, and weak majorization ⋮ Functions that preserve families of positive semidefinite matrices ⋮ Moment-sequence transforms ⋮ Continuity of positive nonlinear maps between $C^*$-algebras ⋮ Preservers of totally positive kernels and Pólya frequency functions ⋮ Rank of a Hadamard product ⋮ An extension of the schwarz inequality in inner product spaces ⋮ The Schur Product Theorem in the Block Case ⋮ Rank and inertia of a complex hadamard Power∗ ⋮ Totally positive kernels, Pólya frequency functions, and their transforms ⋮ Critical exponents of graphs ⋮ Positivity of matrices with generalized matrix functions ⋮ Notes on functions of hyperbolic type ⋮ On Hadamard powers of random Wishart matrices ⋮ Fractional Hadamard powers of positive semidefinite matrices. ⋮ Positivity of Hadamard powers of a few band matrices ⋮ The critical exponent conjecture for powers of doubly nonnegative matrices ⋮ Gaussian processes for unconstraining demand ⋮ The critical exponent for generalized doubly nonnegative matrices ⋮ A panorama of positivity. II: Fixed dimension ⋮ Complete characterization of Hadamard powers preserving Loewner positivity, monotonicity, and convexity ⋮ The critical exponent: a novel graph invariant ⋮ Doubling condition at the origin for non-negative positive definite functions ⋮ On infinite divisibility of positive definite functions arising from operator means ⋮ Matrix positivity preservers in fixed dimension ⋮ Total positivity of sums, Hadamard products and Hadamard powers: results and counterexamples ⋮ Lieb functions and \(m\)-positivity of norms ⋮ Functions operating on positive-definite symmetric matrices ⋮ Book review of: Xingzhi Zhan, Matrix theory. ⋮ The critical exponent for continuous conventional powers of doubly nonnegative matrices ⋮ Schur polynomials and matrix positivity preservers ⋮ Energy on spheres and discreteness of minimizing measures ⋮ Hadamard powers of some positive matrices ⋮ Angles, triangle inequalities, correlation matrices and metric-preserving and subadditive functions ⋮ Cauchy-Schwarz inequalities associated with positive semidefinite matrices ⋮ Preserving positivity for matrices with sparsity constraints ⋮ Hadamard powers of rank two, doubly nonnegative matrices ⋮ Preserving positivity for rank-constrained matrices ⋮ On the sign patterns of entrywise positivity preservers in fixed dimension ⋮ On Hadamard powers of positive semi-definite matrices ⋮ On the Schoenberg transformations in data analysis: theory and illustrations
Cites Work
- On inequalities between Hermitian and symmetric forms
- On the variational method for univalent functions
- Quadratic inequalities and coefficient estimates for schlicht functions
- Generalised Hadamard inequality and its application†
- Quadratic Forms in Harmonic Analysis and the Bochner-Eberlein Theorem
- The Theory of Infinitely Divisible Matrices and Kernels
- Unnamed Item
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