Publication

An Error Analysis Of Galerkin Projection Methods For Linear Systems With Tensor Product Structure

Daniel Kressner
2013
Journal Articles

Abstract

Recent results on the convergence of a Galerkin projection method for the Sylvester equation are extended to more general linear systems with tensor product structure. In the Hermitian positive definite case, explicit convergence bounds are derived for Galerkin projection based on tensor products of rational Krylov subspaces. The results can be used to optimize the choice of shifts for these methods. Numerical experiments demonstrate that the convergence rates predicted by our bounds appear to be sharp.

Official source

https://infoscience.epfl.ch/entities/publication/cbb69f62-8038-46c1-8a47-f575fa434c42

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

An Error Analysis Of Galerkin Projection Methods For Linear Systems With Tensor Product Structure

Chat with Graph Search

Critical degeneracy in a nonlinear hyperbolic equation can produce atypical instability

Residual-based attention in physics-informed neural networks

Randomized low-rank approximation and its applications