Dublin Core
Title
Algorithms for Sparse Linear Systems
Subject
Algebra
Description
Large sparse linear systems of equations are ubiquitous in science, engineering and beyond. This open access monograph focuses on factorization algorithms for solving such systems. It presents classical techniques for complete factorizations that are used in sparse direct methods and discusses the computation of approximate direct and inverse factorizations that are key to constructing general-purpose algebraic preconditioners for iterative solvers. A unified framework is used that emphasizes the underlying sparsity structures and highlights the importance of understanding sparse direct methods when developing algebraic preconditioners. Theoretical results are complemented by sparse matrix algorithm outlines. This monograph is aimed at students of applied mathematics and scientific computing, as well as computational scientists and software developers who are interested in understanding the theory and algorithms needed to tackle sparse systems. It is assumed that the reader has completed a basic course in linear algebra and numerical mathematics.
Creator
Scott, Jennifer
Tůma, Miroslav
Source
https://library.oapen.org/handle/20.500.12657/62987
Publisher
Publisher: Springer Nature
Publisher website: https://www.springernature.com/gp/products/books
Date
2023
Contributor
Tatik
Rights
http://creativecommons.org/licenses/by/4.0/
Format
PDF
Language
English
Type
Textbooks
Identifier
DOI: 10.1007/978-3-031-25820-6
ISBN: 9783031258206, 9783031258190, 9783031258206