The extended symmetric block Lanczos method for matrix-valued Gauss-type quadrature rules

AH Bentbib, M El Ghomari, K Jbilou… - Journal of Computational …, 2022 - Elsevier
This paper describes methods based on the extended symmetric block Lanczos process for
computing element-wise estimates of upper and lower bounds for matrix functions of the …

Gauss–Laurent-type quadrature rules for the approximation of functionals of a nonsymmetric matrix

J Alahmadi, H Alqahtani, MS Pranić, L Reichel - Numerical Algorithms, 2021 - Springer
This paper is concerned with the approximation of matrix functionals of the form w T f (A) v,
where A∈ ℝ n× n A∈R^n*n is a large nonsymmetric matrix, w, v∈ ℝ nw,v∈R^n, and f is a …

[图书][B] Standard and Rational Gauss Quadrature Rules for the Approximation of Matrix Functionals

J Alahmadi - 2021 - search.proquest.com
In this thesis we develop efficient numerical methods for the approximation of matrix
functionals of the form F (A):= w^ Tf (A) v, where A is a large symmetric or nonsymmetric …

Transformation and approximation of rational Krylov spaces with an application to 2.5-dimensional direct current resistivity modeling

S Stein - 2021 - tubaf.qucosa.de
Abstract (DE) Die vorliegende Arbeit befasst sich mit der Fragestellung, inwiefern sich
gegebene Verfahren zur Approximation von rationalen Krylow-Räumen zur Berechnung von …

WITH FOM AND GMRES

D Camps - bugs.unica.it
In this presentation we revisit the approximate rational Krylov method [1, 2, 3]. We present
two alternative but mathematically equivalent formulations of the same algorithm. The first …