Bounds for iterated normal matrices

Lower bounds of Copson type for the transpose of matrices on weighted sequence spaces

Lower Bounds of Copson Type for Hausdorff Matrices on Weighted Sequence Spaces

Let = be a non-negative matrix. Denote by the supremum of those , satisfying the following inequality: where , , and also is increasing, non-negative sequence of real numbers. If we used instead of The purpose of this paper is to establish a Hardy type formula for , where is Hausdorff matrix and A similar result is also established for where In particular, we apply o...

A Note on the Confidence Bounds for the Characteristic Roots of Dispersion Matrices of Normal Variates

Spectral Variation Bounds for Diagonalisable Matrices

This note is related to an earlier paper by Bhatia, Davis, and Kittaneh 4]. For matrices similar to Hermitian, we prove an inequality complementary to the one proved in 4, Theorem 3]. We also disprove a conjecture made in 4] about the norm of a commutator.

Relative Residual Bounds for Indefinite Hermitian Matrices

We prove several residual bounds for relative perturbations of the eigenvalues of indefinite Hermitian matrix. The bounds fall into two categories – the Weyl-type bounds and the Hofmann–Wielandt-type bounds. The bounds are expressed in terms of sines of acute principal angles between certain subspaces associated with the indefinite decomposition of the given matrix. The bounds are never worse t...