Results 11 to 20 of about 53 (51)
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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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
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On the Spectral Norms of r -Circulant Matrices with the k -Fibonacci and k -Lucas Numbers [PDF]
, 2010 In this paper, we consider the k -Fibonacci and k -Lucas sequences be r -circulant matrices. Afterwards, we give upper and lower bounds for the spectral norms of matrices A and B.
Shou-Qiang Shen, Jian-Miao Cen
core
, 1999 . Replace certain edges of a directed graph by chains and consider the eect on the spectrum of the graph. It is shown that the spectral radius decreases monotonically with the expansion and that, for a strongly connected graph that is not a single cycle,
Hans Schneider +2 more
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Explicit Solutions For Interval Semidefinite Linear Programs
, 1993 We consider the special class of semidefinite linear programs (IV P ) maximize trace CX subject to L ¯ A(X) ¯ U; where C; X; L; U are symmetric matrices, A is a (onto) linear operator, and ¯ denotes the Loewner (positive semidefinite) partial order.
Henry Wolkowicz
core
Convex analysis on the Hermitian matrices
, 1996 There is growing interest in optimization problems with real symmetric matrices as variables. Generally the matrix functions involved are spectral: they depend only on the eigenvalues of the matrix.
A. S. Lewis
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ON SPACES OF MATRICES WITH A BOUNDED NUMBER OF EIGENVALUES
, 2008 Dedicated to Hans Schneider on the occasion of his seventieth birthday Abstract. The following problem, originally proposed by Omladic and Semrl [Linear Algebra Appl., 249:29{46 (1996)], is considered. Let k and n be positive integers such that k < n.
Nizar Radwan, Raphael Loewy
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Some generalizations of inequalities for sector matrices. [PDF]
J Inequal Appl, 2018 Yang C, Lu F.
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A new localization set for generalized eigenvalues. [PDF]
J Inequal Appl, 2017 Gao J, Li C.
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On the Lawson-Lim means and Karcher mean for positive invertible operators. [PDF]
J Inequal Appl, 2018 Liao W, Long P, Ren Z, Wu J.
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