Results 121 to 130 of about 2,786 (218)

On the generation of Krylov subspace bases [PDF]

, 2009
Many problems in scientific computing involving a large sparse matrix A are solved by Krylov subspace methods. This includes methods for the solution of large linear systems of equations with A, for the computation of a few eigenvalues and associated ...
Philippe, Bernard, Reichel, Lothar
core  

KRYLOV SUBSPACE ACCELERATION OF WAVEFORM RELAXATION ∗

, 2008
. In this paper we describe and analyze Krylov subspace techniques for accelerating the convergence of waveform relaxation for solving time dependent problems. A new class of accelerated waveform methods, convolution Krylov subspace methods, is presented.
Andrew Lumsdaine, Deyun Wu
core  

Variational log-Gaussian point-process methods for grid cells. [PDF]

Hippocampus, 2023
Rule ME, Chaudhuri-Vayalambrone P, Krstulovic M, Bauza M, Krupic J, O'Leary T.   +5 more
europepmc   +2 more sources

Krylov subspace approximations for the exponential Euler method: Error estimates and the harmonic Ritz approximant

, 2011
We study Krylov subspace methods for approximating the matrix-function vector product φ(tA)b where φ(z) = [exp(z) - 1]/z. This product arises in the numerical integration of large stiff systems of differential equations by the Exponential Euler Method ...
Turner, Ian, Ilic, Milos, Carr, Elliot Joseph   +2 more
core  

An Optimized Schwarz Method for the Optical Response Model Discretized by HDG Method. [PDF]

Entropy (Basel), 2023
Chen JF, Gu XM, Li L, Zhou P.
europepmc   +1 more source

The detection and correction of silent errors in pipelined Krylov subspace methods. [PDF]

Numer Algorithms
Carson EC, Hercík J.
europepmc   +1 more source

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  

A Convergent Generalized Krylov Subspace Method for Compressed Sensing MRI Reconstruction with Gradient-Driven Denoisers. [PDF]

IEEE Trans Comput Imaging
Hong T, Villa U, Fessler JA.
europepmc   +1 more source

Fault tolerance in Krylov subspace methods

The increasing complexity of modern high-performance computing (HPC) systems, with their vast number of processing units and extensive memory hierarchies, introduces significant challenges to system resilience, particularly in the face of soft errors ...
Pandit, Sandesh
core  

Evaluating Sample-Based Krylov Quantum Diagonalization for Heisenberg Models with Applications to Materials Science. [PDF]

Entropy (Basel)
Misciasci N, Firt R, Mueller JE, Friedhoff T, Onah C, Schulze A, Mostame S.   +6 more
europepmc   +1 more source