Preconditioners for Krylov subspace methods: An overview
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 …
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 …
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 …
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
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 …
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 …
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
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 …
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
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 …
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
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 …
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 …
theoretical basis for processing and interpretation methods. Accelerating the calculation …
Computationally efficient optimal control for unstable power system models
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 …
system models and stabilizing them through the Riccati‐based feedback stabilization …