Pedro Massey

collaborators

3 papers

math.NA2026

Lambda admissible subspaces of self adjoint matrices

Francisco Arrieta Zuccalli, Pedro Massey

Given a self-adjoint matrix $A$ and an index $h$ such that $I^»_{h} (A)$ lies in a cluster of eigenvalues of $A$ , we introduce the novel class of $I^$ -admissible subspaces of $A$ of di…

math.NA2024

Block subspace expansions for eigenvalues and eigenvectors approximation

Francisco Arrieta Zuccalli, Pedro Massey, Demetrio Stojanoff

Let $A \in C^{n \times n}$ and let $X \subset C^{n}$ be an $A$ -invariant subspace with $dim X = d \geq 1$ , corresponding to exterior eigenvalues of $A$ . G…

math.NA2024

Dominant subspace and low-rank approximations from block Krylov subspaces without a prescribed gap

Pedro Massey

We develop a novel convergence analysis of the classical deterministic block Krylov methods for the approximation of $h$ -dimensional dominant subspaces and low-rank approximations…