Preconditioners for Krylov subspace methods: An overview

JW Pearson, J Pestana - GAMM‐Mitteilungen, 2020 - Wiley Online Library
When simulating a mechanism from science or engineering, or an industrial process, one is
frequently required to construct a mathematical model, and then resolve this model …

Krylov methods for nonsymmetric linear systems

G Meurant, JD Tebbens - Cham: Springer, 2020 - Springer
Solving systems of algebraic linear equations is among the most frequent problems in
scientific computing. It appears in many areas like physics, engineering, chemistry, biology …

3D transient electromagnetic modeling using a shift-and-invert Krylov subspace method

J Zhou, W Liu, X Li, Z Qi - Journal of Geophysics and …, 2018 - academic.oup.com
We present a fast and efficient algorithm for simulation of a three-dimensional (3D) transient
electromagnetic (TEM) response using a modified shift-and-invert Krylov subspace method …

[HTML][HTML] A tensor format for the generalized Hessenberg method for solving Sylvester tensor equations

M Heyouni, F Saberi-Movahed, A Tajaddini - Journal of Computational and …, 2020 - Elsevier
In this paper, a general framework using tensor Krylov projection techniques is proposed for
solving high order Sylvester tensor equations. After describing the tensor format of the …

A survey of low-rank updates of preconditioners for sequences of symmetric linear systems

L Bergamaschi - Algorithms, 2020 - mdpi.com
The aim of this survey is to review some recent developments in devising efficient
preconditioners for sequences of symmetric positive definite (SPD) linear systems A kxk= bk …

[HTML][HTML] On global Hessenberg based methods for solving Sylvester matrix equations

M Heyouni, F Saberi-Movahed, A Tajaddini - Computers & Mathematics …, 2019 - Elsevier
In the first part of this paper, we investigate the use of Hessenberg-based methods for
solving the Sylvester matrix equation A X+ XB= C. To achieve this goal, the Sylvester form of …

A Hessenberg-type algorithm for computing PageRank Problems

XM Gu, SL Lei, K Zhang, ZL Shen, C Wen… - Numerical …, 2022 - Springer
PageRank is a widespread model for analysing the relative relevance of nodes within large
graphs arising in several applications. In the current paper, we present a cost-effective …

Preconditioned iterative methods for multi-linear systems based on the majorization matrix

FPA Beik, M Najafi-Kalyani, K Jbilou - Linear and Multilinear …, 2022 - Taylor & Francis
This paper mainly deals with applying a general class of preconditioners to accelerate the
convergence speed of some iterative schemes for solving multi-linear systems whose …

[HTML][HTML] 3D finite-volume forward modeling of transient electromagnetic using octree meshes

X JING, HK CAO, JM ZHOU, WT LIU, X LI… - Chinese Journal of …, 2023 - en.dzkx.org
An efficient and stable 3D transient electromagnetic (TEM) simulation algorithm is the
theoretical basis for processing and interpretation methods. Accelerating the calculation …

Computationally efficient optimal control for unstable power system models

M Uddin, MM Uddin… - Mathematical Problems in …, 2021 - Wiley Online Library
In this article, the focus is mainly on gaining the optimal control for the unstable power
system models and stabilizing them through the Riccati‐based feedback stabilization …