10.9k citations
- Lomonosov Moscow State UniversityRU13 papers
- University of ArizonaUS9 papers
- Argonne National LaboratoryUS8 papers
- Centre National de la Recherche ScientifiqueFR8 papers
- Charles UniversityCZ8 papers
- Columbia UniversityUS8 papers
- Czech Academy of SciencesCZ8 papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR8 papers
- Max Planck SocietyDE8 papers
- New York UniversityUS8 papers
- Polish Academy of SciencesPL8 papers
- Radboud University NijmegenNL8 papers
4 papers · 1 filter
Inequalities for selected eigenvalues of the product of matrices
Bo-Yan Xi, Fuzhen Zhang
The product of a Hermitian matrix and a positive semidefinite matrix has only real eigenvalues. We present bounds for sums of eigenvalues of such a product.
An extension of Harnack type determinantal inequality
Minghua Lin, Fuzhen Zhang
We revisit and comment on the Harnack type determinantal inequality for contractive matrices obtained by Tung in the nineteen sixtieth and give an extension of the inequality invol…
Angles, triangle inequalities, correlation matrices and metric-preserving and subadditive functions
Diego Castano, Vehbi E. Paksoy, Fuzhen Zhang
We study the triangle inequalities for angles (with different definitions) and present inequalities concerning the entries of correlation matrices through the positivity of $3\time…
Linear Independence of Finite Gabor Systems Determined by Behavior at Infinity
John J. Benedetto, Abdelkrim Bourouihiya
We prove that the HRT (Heil, Ramanathan, and Topiwala) conjecture holds for finite Gabor systems generated by square-integrable functions with certain behavior at infinity. These f…