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Titlebook: Algorithms for Sparse Linear Systems; Jennifer Scott,Miroslav Tůma Book‘‘‘‘‘‘‘‘ 2023 The Editor(s) (if applicable) and The Author(s) 2023

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发表于 2025-3-21 16:37:37 | 显示全部楼层 |阅读模式
期刊全称Algorithms for Sparse Linear Systems
影响因子2023Jennifer Scott,Miroslav Tůma
视频video
发行地址This book is open access, which means that you have free and unlimited access.This monograph presents factorization algorithms for solving large sparse linear systems of equations.It unifies the study
学科分类Nečas Center Series
图书封面Titlebook: Algorithms for Sparse Linear Systems;  Jennifer Scott,Miroslav Tůma Book‘‘‘‘‘‘‘‘ 2023 The Editor(s) (if applicable) and The Author(s) 2023
影响因子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. .
Pindex Book‘‘‘‘‘‘‘‘ 2023
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发表于 2025-3-21 23:36:10 | 显示全部楼层
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https://doi.org/10.1007/978-3-642-91668-7e of sparse direct methods is normally to compute solutions that are accurate within the precision used. As discussed in Chapter ., theoretical results can be used to assess both stability and accuracy.
发表于 2025-3-22 06:17:29 | 显示全部楼层
https://doi.org/10.1007/978-3-031-25820-6Open Access; Sparse Matrices; Algebraic Preconditioners; Sparse Direct Methods; Incomplete Factorization
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发表于 2025-3-23 00:41:37 | 显示全部楼层
https://doi.org/10.1007/978-3-658-41051-3Many sparse matrix algorithms exploit the close relationship between matrices and graphs. We make no assumption regarding the reader’s prior knowledge of graph theory. The purpose of this chapter is to summarize basic concepts from graph theory that will be exploited later and to establish the notation and terminology that will be used throughout.
发表于 2025-3-23 01:41:03 | 显示全部楼层
Der Weg zur nachhaltigen UnternehmensführungThis chapter introduces the basic concepts of Gaussian elimination and its formulation as a matrix factorization that can be expressed in a number of mathematically equivalent but algorithmically different ways.
发表于 2025-3-23 07:35:49 | 显示全部楼层
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