$M$-matrices satisfy Newton’s inequalities
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Publication:4829890
DOI10.1090/S0002-9939-04-07576-8zbMath1067.15018arXivmath/0512610OpenAlexW1939670197MaRDI QIDQ4829890
Publication date: 1 December 2004
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0512610
Inverse problems in linear algebra (15A29) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)
Related Items (12)
Monomial Inequalities for Newton Coefficients and Determinantal Inequalities for p-Newton Matrices ⋮ On the realizability of the critical points of a realizable List ⋮ Families of Newton-like inequalities for sets of self-conjugate complex numbers ⋮ A refinement of Newton and Maclaurin inequalities through abstract convexity ⋮ Inequalities for linear combinations of monomials in p-Newton sequences ⋮ Lorentzian polynomials ⋮ Inverse \(M\)-matrices. II ⋮ The nonnegative inverse eigenvalue problem from the coefficients of the characteristic polynomial. EBL digraphs ⋮ Negative dependence and the geometry of polynomials ⋮ The NIEP ⋮ Matrices and spectra satisfying the Newton inequalities ⋮ Some notes on the spectra of nonnegative symmetric 5 × 5 matrices
Cites Work
- Open problems on GKK \(\tau\)-matrices
- Multinomial Probabilities, Permanents and a Conjecture of Karlin and Rinott
- A refinement of an inequality of Johnson, Loewy and London on nonnegative matrices and some applications
- Row Stochastic Matrices Similar to Doubly Stochastic Matrices
- A note on an inverse problem for nonnegative matrices
- Generalized Matrix Function Inequalities on M-Matrices
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