Stable computation of generalized matrix functions via polynomial interpolation

JL Aurentz, AP Austin, M Benzi, V Kalantzis - SIAM Journal on Matrix Analysis …, 2019 - SIAM
Generalized matrix functions (GMFs) extend the concept of a matrix function to rectangular
matrices via the singular value decomposition. Several applications involving directed …

Cucheb: A GPU implementation of the filtered Lanczos procedure

JL Aurentz, V Kalantzis, Y Saad - Computer Physics Communications, 2017 - Elsevier
This paper describes the software package Cucheb, a GPU implementation of the filtered
Lanczos procedure for the solution of large sparse symmetric eigenvalue problems. The …

Domain decomposition algorithms for the solution of sparse symmetric generalized eigenvalue problems

V Kalantzis - 2018 - search.proquest.com
This dissertation focuses on the design, implementation, and evaluation of domain
decomposition techniques for the solution of large and sparse algebraic symmetric …

[PDF][PDF] A GPU implementation of the filtered Lanczos procedure

JL AURENTZ, V KALANTZIS… - Tech. Report ys-2015-4 …, 2015 - www-users.cse.umn.edu
This paper describes a graphics processing unit (GPU) implementation of the Filtered
Lanczos Procedure for the solution of large, sparse, symmetric eigenvalue problems. The …