[图书][B] Core-chasing algorithms for the eigenvalue problem

Core-Chasing Algorithms for the Eigenvalue Problem : Back Matter Page 1 Bibliography [1] GS
Ammar, WB Gragg, and L. Reichel. On the eigenproblem for orthogonal matrices. In Proceedings …

Fast and backward stable computation of roots of polynomials, Part II: Backward error analysis; companion matrix and companion pencil

JL Aurentz, T Mach, L Robol, R Vandebril… - SIAM Journal on Matrix …, 2018 - SIAM
This work is a continuation of work by JL Aurentz, T. Mach, R. Vandebril, and DS Watkins, J.
Matrix Anal. Appl., 36 (2015), pp. 942--973. In that paper we introduced a companion QR …

Absorbing games with irrational values

M Oliu-Barton, G Vigeral - Operations Research Letters, 2023 - Elsevier
Many classes of two-player zero-sum stochastic games have the orderfield property; that is,
if all payoffs and transitions belong to some field, so does the limit value. Is it also the case …

Fast and backward stable computation of eigenvalues and eigenvectors of matrix polynomials

J Aurentz, T Mach, L Robol, R Vandebril… - Mathematics of …, 2019 - ams.org
In the last decade matrix polynomials have been investigated with the primary focus on
adequate linearizations and good scaling techniques for computing their eigenvalues and …

[PDF][PDF] Roots of polynomials: on twisted QR methods for companion matrices and pencils

JL Aurentz, T Mach, L Robol, R Vandebril… - arXiv preprint arXiv …, 2016 - researchgate.net
Two generalizations of the companion QR algorithm by JL Aurentz, T. Mach, R. Vandebril,
and DS Watkins, SIAM Journal on Matrix Analysis and Applications, 36 (3): 942–973, 2015 …