J. P'erez

activity

20162026

most citedAriel: Enabling planetary science across light-years

27 citations · 49 across the 10 of their papers we have counts for

collaborators

Showing 2018 · math.NAShow all

3 papers · 2 filters

math.NA2018

The conditioning of block Kronecker $ℓ$ -ifications of matrix polynomials

Javier Pérez

A strong $ℓ$ -ification of a matrix polynomial $P (λ) = \sum A_{i} λ^{i}$ of degree $d$ is a matrix polynomial $L (λ)$ of degree $ℓ$ having the same finite and infinite eleme…

math.NA2018★ 2 cited

Block minimal bases $ℓ$ -ifications of matrix polynomials

Froilán M. Dopico, Javier Pérez, Paul Van Dooren

The standard way of solving a polynomial eigenvalue problem associated with a matrix polynomial starts by embedding the matrix coefficients of the polynomial into a matrix pencil,…

math.NA2018★ 5 cited

Automatic rational approximation and linearization of nonlinear eigenvalue problems

Pieter Lietaert, Javier Pérez, Bart Vandereycken +1

We present a method for solving nonlinear eigenvalue problems using rational approximation. The method uses the AAA method by Nakatsukasa, Sète, and Trefethen to approximate the no…

The conditioning of block Kronecker ℓ-ifications of matrix polynomials

Block minimal bases ℓ-ifications of matrix polynomials

Automatic rational approximation and linearization of nonlinear eigenvalue problems

The conditioning of block Kronecker $ℓ$ -ifications of matrix polynomials

Block minimal bases $ℓ$ -ifications of matrix polynomials