Results 111 to 120 of about 3,994 (221)
THE COMPARISON OF PRECONDITIONED SYSTEFOR KRYLOV SUBSPACE METHODSM
, 2016 The problem of large-scale systems of linear equations, we describe the comparison of preconditioned system for Krylov subspace methods. We used the preconditioned system in Krylov subspace methods, and we compared various preconditioned ...
宮野 駿
core
Strategies For Recycling Krylov Subspace Methods and Bilinear Form Estimation
, 2017 The main theme of this work is effectiveness and efficiency of Krylov subspace methods and Krylov subspace recycling. While solving long, slowly changing sequences of large linear systems, such as the ones that arise in engineering, there are many issues
Swirydowicz, Katarzyna
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Truncation Strategies for Optimal Krylov Subspace Methods
, 1996 Optimal Krylov subspace methods like GMRES and GCR have to compute an orthogonal basis for the entire Krylov subspace to compute the minimum residual approximation to the solution.
E. de Sturler
core
Improving Efficiency of Rational Krylov Subspace Methods
, 2022 This thesis studies two classes of numerical linear algebra problems, approximating the product of a function of a matrix with a vector, and solving the linear eigenvalue problem $Av=\lambda Bv$ for a small number of eigenvalues.
Xu, Shengjie
core
한국해양공학회지Recently, digital transformation has become crucial for the safe operation and extended lifespan of ships and offshore structures. Structural health management is gaining importance and driving interest in digital twin technology for monitoring ...
Kichan Sim +3 more
doaj +1 more source
Neural preconditioning via Krylov subspace geometry
Bollettino dell'Unione Matematica ItalianaAbstract We propose a geometry-aware strategy for training neural preconditioners tailored to parametrized linear systems arising from the discretization of mixed-dimensional partial differential equations (PDEs). Such systems are typically ill-conditioned due to embedded lower-dimensional structures and are solved using Krylov ...
Nunzio Dimola +2 more
openaire +2 more sources
Nuclear Engineering and TechnologyDiscrete ordinates (SN) method with unstructured meshes is highly appropriate for high-fidelity modeling and simulation of radiation shielding problems with complicated geometries.
Ao Zhang +3 more
doaj +1 more source
The extended Krylov subspace method and orthogonal Laurent polynomials
, 2009 The need to evaluate expressions of the form f(A)v, where A is a large sparse or structured symmetric matrix, v is a vector, and f is a nonlinear function, arises in many applications.
Reichel, Lothar, Jagels, Carl
core +1 more source
IDR: A new generation of Krylov subspace methods?
, 2012 The Induced Dimension Reduction (IDR) technique developed by Sonneveld and van Gijzen is a powerful concept resulting in a variety of transpose-free Krylov subspace methods based on short-term recurrences.
Zemke, Jens-Peter M. +2 more
core +1 more source
Approximate Exponential Integrators for Time-Dependent Equation-of-Motion Coupled Cluster Theory. [PDF]
J Chem Theory Comput, 2023 Williams-Young DB +3 more
europepmc +1 more source