Results 11 to 20 of about 280 (37)
On matrix convexity of the Moore‐Penrose inverse
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 707-710, 1996., 1995 Matrix convexity of the Moore‐Penrose inverse was considered in the recent literature. Here we give some converse inequalities as well as further generalizations.
B. Mond, J. E. Pečarić
wiley +1 more source
Lipschitz Extensions to Finitely Many Points
Analysis and Geometry in Metric Spaces, 2018 We consider Lipschitz maps with values in quasi-metric spaces and extend such maps to finitely many points. We prove that in this context every 1-Lipschitz map admits an extension such that its Lipschitz constant is bounded from above by the number of ...
Basso Giuliano
doaj +1 more source
THE GROTHENDIECK CONSTANT IS STRICTLY SMALLER THAN KRIVINE’S BOUND
Forum of Mathematics, Pi, 2013 The (real) Grothendieck constant ${K}_{G} $ is the infimum over those $K\in (0, \infty )$ such that for every $m, n\in \mathbb{N} $ and every $m\times n$ real matrix $({a}_{ij} )$ we have $$\begin{eqnarray*}\displaystyle \max _{\{ x_{i}\} _{i= 1}^{m} , \{
MARK BRAVERMAN +3 more
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Matrix Inequalities by Means of Block Matrices [PDF]
, 2001 We first show a weak log-majorization inequality of singular values for partitioned positive semidefinite matrices which will imply some existing results of anumber ofauthors, then present some basic matrix inequalities and apply them to obtain a number ...
Zhang, Fuzhen
core +1 more source
Extensions of Three Matrix Inequalities to Semisimple Lie Groups
Special Matrices, 2014 We give extensions of inequalities of Araki-Lieb-Thirring, Audenaert, and Simon, in the context ofsemisimple Lie groups.
Liu Xuhua, Tam Tin-Yau
doaj +1 more source
, 2013 Motivated with a problem in spectroscopy, Sloane and Harwit conjectured in 1976 what is the minimal Frobenius norm of the inverse of a matrix having all entries from the interval [0, 1].
Drnovšek, Roman
core +1 more source
Determinantal and eigenvalue inequalities for matrices with numerical ranges in a sector
, 2013 Let $A = \pmatrix A_{11} & A_{12} \cr A_{21} & A_{22}\cr\pmatrix \in M_n$, where $A_{11} \in M_m$ with $m \le n/2$, be such that the numerical range of $A$ lies in the set $\{e^{i\varphi} z \in \IC: |\Im z| \le (\Re z) \tan \alpha\}$, for some $\varphi ...
Li, Chi-Kwong, Sze, Nung-Sing
core +1 more source
Alternative reverse inequalities for Young's inequality
, 2011 Two reverse inequalities for Young's inequality were shown by M. Tominaga, using Specht ratio. In this short paper, we show alternative reverse inequalities for Young's inequality without using Specht ratio.Comment: The constant in the right hand side ...
Furuichi, Shigeru, Minculete, Nicuşor
core +1 more source
Quantum Uncertainty Based on Metric Adjusted Skew Information
, 2018 Prompted by the open questions in Gibilisco [Int. J. Software Informatics, 8(3-4): 265, 2014], in which he introduced a family of measurement-induced quantum uncertainty measures via metric adjusted skew informations, we investigate these measures ...
Cai, Liang
core +1 more source
Some results on the partial orderings of block matrices
Journal of Inequalities and Applications, 2011 Some results relating to the block matrix partial orderings and the submatrix partial orderings are given. Special attention is paid to the star ordering of a sum of two matrices and the minus ordering of matrix product. Several equivalent conditions for
Liu Xifu, Yang Hu
doaj