Algorithms for Sparse Linear Systems

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...

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Bibliographic Details
Other Authors: Scott, Jennifer, author (author), Tůma, Miroslav, editor (editor)
Format: eBook
Language:Inglés
Published: Cham : Springer International Publishing 2023.
Edition:1st ed
Series:Nečas Center Series.
Subjects:
See on Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009743532706719
Table of Contents:
  • An introduction to sparse matrices Sparse matrices and their graphs Introduction to matrix factorizations Sparse Cholesky sovler: The symbolic phase Sparse Cholesky solver: The factorization phase Sparse LU factorizations Stability, ill-conditioning and symmetric indefinite factorizations Sparse matrix ordering algorithms Algebraic preconditioning and approximate factorizations Incomplete factorizations Sparse approximate inverse preconditioners.