A unified approach to Krylov subspace methods for solving linear systems
F Bouyghf, A Messaoudi, H Sadok - Numerical Algorithms, 2024 - Springer
In this paper, we present a comprehensive framework for studying Krylov subspace methods
used to solve the linear system A x= f. These methods aim to achieve convergence within a …
used to solve the linear system A x= f. These methods aim to achieve convergence within a …
A Lanczos-type procedure for tensors
The solution of linear non-autonomous ordinary differential equation systems (also known
as the time-ordered exponential) is a computationally challenging problem arising in a …
as the time-ordered exponential) is a computationally challenging problem arising in a …
A Lanczos-like method for non-autonomous linear ordinary differential equations
PL Giscard, S Pozza - Bollettino dell'Unione Matematica Italiana, 2023 - Springer
The time-ordered exponential is defined as the function that solves a system of coupled first-
order linear differential equations with generally non-constant coefficients. In spite of being …
order linear differential equations with generally non-constant coefficients. In spite of being …
Anti-Gaussian quadrature rules related to orthogonality on the semicircle
AS Milosavljević, MP Stanić… - Numerical …, 2024 - Springer
Abstract Let\(D_+\) be defined as\(D_+=\{z\in\mathbb {C}\,:\,| z|< 1,\textrm {Im}\, z> 0\}\)
and\(\Gamma\) be a unit semicircle\(\Gamma=\{z={\textrm {e}}^{{\textrm {i}}\theta} …
and\(\Gamma\) be a unit semicircle\(\Gamma=\{z={\textrm {e}}^{{\textrm {i}}\theta} …
Structured matrix techniques for orthogonal rational functions and rational Krylov methods
N Van Buggenhout - 2021 - lirias.kuleuven.be
Polynomials are a powerful tool to approximate functions. If the function of interest does not
resemble a polynomial, rational function based methods might be more appropriate. The …
resemble a polynomial, rational function based methods might be more appropriate. The …