Bounds on norms of compound matrices and on products of eigenvalues

Details Bounds on norms of compound matrices and on products of eigenvalues Bounds on norms of compound matrices and on products of eigenvalues

1998-02-22

arxiv.org/abs/math/9802106v1

Mathematics

Rings and Algebras

Scientific paper

An upper bound on operator norms of compound matrices is presented, and
special cases that involve the $\ell_1$, $\ell_2$ 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.

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