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A note on spaces of symmetric matrices

โœ Scribed by Andrea Causin; Gian Pietro Pirola

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
149 KB
Volume
426
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES

A note on improvement on bounds for nonm
A note on improvement on bounds for nonmaximal eigenvalues of symmetric positive matrices
โœ Xiao-Qin Liu; Ting-Zhu Huang; Ying-Ding Fu ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 95 KB

In this work, we improve the lower and upper bounds obtained by Zhang and Luo [X. Zhang, R. Luo, Upper bound for the non-maximal eigenvalues of irreducible nonnegative matrices, Czechoslovak Math. J. 52 (127) (2002) 537-544] for the nonmaximal eigenvalue ฮป n-1 (A) of a symmetric positive matrix.

Spaces of symmetric matrices containing
Spaces of symmetric matrices containing a nonzero matrix of bounded rank
โœ S. Friedland; R. Loewy ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 491 KB

Let S, (F) denote the space of all n x n symmetric matrices over the field F. Given a positive integer k such that k < n, let d(n, k, F) be the smallest integer f such that every f dimensional subspace of Sn(F) contains a nonzero matrix whose rank is at most k. It is our purpose to consider d(n,k,F)