Tremendous progress has been made in the scientific and engineering disciplines regarding the use of iterative methods for linear systems. The size and complexity of linear and nonlinear systems arising in typical applications has grown, meaning that using direct solvers for the three-dimensional models of these problems is no longer effective. At the same time, parallel computing, becoming less expensive and standardized, has penetrated these application areas. Iterative methods are easier than direct solvers to implement on parallel computers but require approaches and solution algorithms that are different from classical methods. This second edition gives an in-depth, up-to-date view of practical algorithms for solving large-scale linear systems of equations, including a wide range of the best methods available today. A new chapter on multigrid techniques has been added, whilst material throughout has been updated, removed or shortened. Numerous exercises have been added, as well as an updated and expanded bibliography.
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Book Description
Tremendous progress has been made in the scientific and engineering disciplines regarding the use of iterative methods for linear systems. This second edition gives an in-depth, up-to-date view of practical algorithms for solving large-scale linear systems of equations, including a wide range of the best methods available today.
About the Author
Yousef Saad joined the University of Minnesota in 1990 as a Professor of Computer Science and a Fellow of the Minnesota Supercomputer Institute. He was head of the department of Computer Science and Engineering from 1997 to 2000. He received the "Doctorat d'Etat" from the University of Grenoble (France) in 1983. His current research interests include numerical linear algebra, sparse matrix computations, iterative methods, parallel computing, and numerical methods for eigenvalue problems.
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Most Helpful Customer Reviews
4 of 4 people found the following review helpful:
5.0 out of 5 stars
Great Book,
By A Customer
This review is from: Iterative Methods for Sparse Linear Systems (The Pws Series in Computer Science) (Hardcover)
This is a great book for this subject. The book is easy to follow and Saad does a wonderful job of illustrating with examples. This is a great textbook or a book for reference. This book does a particularly good job with Krylov methods and does a reasonable job with preconditioning.
2 of 3 people found the following review helpful:
5.0 out of 5 stars
Wonderful Book,
By Gauss (Mugla, Turkey) - See all my reviews
This review is from: Iterative Methods for Sparse Linear Systems, Second Edition (Paperback)
This is one of my favorite books in my library on this subject. Also I have used this book for my class as main textbook along with "Iterative Methods for Solving Linear and Nonlinear Equations" by C. T. Kelley , which is another SIAM book.
Highly recommended.
5.0 out of 5 stars
The first book you should read on iterative methods,
By
This review is from: Iterative Methods for Sparse Linear Systems, Second Edition (Paperback)
If you want to learn about iterative methods for solving linear equations, this should be the first book you buy. It will also serve as a great reference for the shelves. Very well written and organised.
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Inside This Book
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First Sentence:
This chapter gives an overview of the relevant concepts in linear algebra that are useful in later chapters. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
row projection methods, sparse direct solution methods, numerical dropping, normal equations approach, maximum transversal, polynomial preconditioning, general sparse matrix, preconditioning operations, sparse direct solvers, fine nodes, dropping strategy, array diag, orthogonal projection method, unassembled form, permuted matrix, dropping rule, interface rows, numerical radius, preconditioned matrix, residual norm, original linear system, general sparse matrices, block preconditioners, residual polynomial, reordering techniques Key Phrases - Capitalized Phrases (CAPs): (learn more)
Matrix Iters Kflops Residual Error, Intergrid Operations, Multi-Elimination Incomplete New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
This chapter gives an overview of the relevant concepts in linear algebra that are useful in later chapters. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
row projection methods, sparse direct solution methods, numerical dropping, normal equations approach, maximum transversal, polynomial preconditioning, general sparse matrix, preconditioning operations, sparse direct solvers, fine nodes, dropping strategy, array diag, orthogonal projection method, unassembled form, permuted matrix, dropping rule, interface rows, numerical radius, preconditioned matrix, residual norm, original linear system, general sparse matrices, block preconditioners, residual polynomial, reordering techniques Key Phrases - Capitalized Phrases (CAPs): (learn more)
Matrix Iters Kflops Residual Error, Intergrid Operations, Multi-Elimination Incomplete New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 60
books:
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100
books
cite this book:
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- Domain Decomposition Methods by Andrea Toselli on 4 pages
- Numerical Analysis (Mathematics) by Lee W. Johnson in Back Matter (1), Back Matter (2), and Back Matter (3)
- Numerical Analysis: A Comprehensive Introduction by H. R. Schwarz in Back Matter (1), Back Matter (2), and Back Matter (3)
- Multigrid Methods (Frontiers in Applied Mathematics) by Stephen F. McCormick in Back Matter (1), Back Matter (2), and Back Matter (3)
- A Multigrid Tutorial by William L. Briggs on page 449, and Back Matter
See all 60 books this book cites
- High Performance Computing for Computational Science - VECPAR 2004: 6th International Conference, Valencia, Spain, June 28-30, 2004, Revised Selected ... Computer Science and General Issues) by Michel Daydé on 5 pages
- Handbook of Parallel Computing and Statistics (Statistics: A Series of Textbooks and Monographs) by Erricos John Kontoghiorghes on page 162, page 191, and page 281
- Parallel Numerical Computations with Applications (The Springer International Series in Engineering and Computer Science) by Laurence Tianruo Yang on page 76, and page 190
- Parallel Computation: 4th International ACPC Conference Including Special Tracks on Parallel Numerics (ParNum'99) and Parallel Computing in Image ... (Lecture Notes in Computer Science) (v. 1557) by Peter Zinterhof on page 27, and page 195
- Parallel Computational Fluid Dynamics 2000: Trends and Applications by C.B. Jenssen on page 138, and page 424
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