English

Bounds on norms of compound matrices and on products of eigenvalues

Rings and Algebras 2007-05-23 v1

Abstract

An upper bound on operator norms of compound matrices is presented, and special cases that involve the 1\ell_1, 2\ell_2 and \ell_\infty norms are investigated. The results are then used to obtain bounds on products of the largest or smallest eigenvalues of a matrix.

Keywords

Cite

@article{arxiv.math/9802106,
  title  = {Bounds on norms of compound matrices and on products of eigenvalues},
  author = {Ludwig Elsner and Daniel Hershkowitz and Hans Schneider},
  journal= {arXiv preprint arXiv:math/9802106},
  year   = {2007}
}