18 citations · 55 across the 29 of their papers we have counts for
35 papers
Block subspace expansions for eigenvalues and eigenvectors approximation
Francisco Arrieta Zuccalli, Pedro Massey, Demetrio Stojanoff
Let and let be an -invariant subspace with , corresponding to exterior eigenvalues of . G…
Norm inequalities for the spectral spread of Hermitian operators
Pedro Massey, Demetrio Stojanoff, Sebastian Zarate
In this work we introduce a new measure for the dispersion of the spectral scale of a Hermitian (self-adjoint) operator acting on a separable infinite dimensional Hilbert space tha…
Absolute variation of Ritz values, principal angles and spectral spread
Pedro Massey, Demetrio Stojanoff, Sebastian Zarate
Let be a complex self-adjoint matrix, be -dimensional subspaces and let be a complex matrix whose c…
The spectral spread of Hermitian matrices
Pedro Massey, Demetrio Stojanoff, Sebastian Zarate
Let be a complex Hermitian matrix and let denote the eigenvalues of , counting multiplicities and arranged in non-increas…
Minimal curves in U(n) and Gl(n)+ with respect to the spectral and the trace norms
Jorge Antezana, Eduardo Ghiglioni, Demetrio Stojanoff
Consider the Lie group of n x n complex unitary matrices U(n) endowed with the bi-invariant Finsler metric given by the spectral norm, ||X||_U = ||U*X||_{sp} = ||X||_{sp} for any X…
Majorization bounds for Ritz values of self-adjoint matrices
Pedro Massey, Demetrio Stojanoff, Sebastian Zarate
A priori, a posteriori, and mixed type upper bounds for the absolute change in Ritz values of self-adjoint matrices in terms of submajorization relations are obtained. Some of our…