Templates for the Solution of Linear Systems by Richard Barrett

Book Contents :-
1. Introduction 2. Iterative Methods 3. Preconditioners 4. Related Issues 5. Remaining topics A. Obtaining the Software B. Overview of the BLAS C. Glossary D. Flowchart of iterative methods

About this book :-
"Templates for the Solution of Linear Systems by Richard Barrett, Michael Berry, Tony F. Chan, James Demmel, June Donato, Jack Dongarra, Victor Eijkhout" is a highly practical reference book focused on solving "large-scale linear systems" that arise in scientific and engineering computations. Instead of presenting linear algebra as theory-heavy mathematics, the book is designed as a decision-making guide that helps readers choose the most suitable numerical method for a given problem. It is especially valuable when direct solvers are too slow or memory-intensive. The book introduces a wide range of "iterative methods" through clearly structured “templates.” Each template explains the conditions under which a method should be used, its convergence behavior, and its computational requirements. Well-known solvers such as Conjugate Gradient, GMRES, and BiCGSTAB are presented alongside practical guidance on "preconditioning", which is essential for improving performance on difficult problems. The emphasis is always on usability and implementation rather than abstract proofs. Widely used by graduate students, researchers, and engineers, this book serves as a trusted handbook in "numerical linear algebra" and "scientific computing". Its clear comparisons and problem-oriented structure make it especially useful for real-world applications, simulations, and high-performance computing environments.

Book Detail :-
Title: Templates for the Solution of Linear Systems by Richard Barrett
Publisher: Society for Industrial Mathematics
Year: 1987
Pages: 117
Type: PDF
Language: English
ISBN-10 #: 0898713285
ISBN-13 #: 9780898713282
License: External Educational Resource
Amazon: Amazon

About Author :-
The author Richard Barrett, Michael Berry, Tony F. Chan, and James Demmel are the principal authors of "Templates for the Solution of Linear Systems". They are well known for their work in "numerical linear algebra", "scientific computing", and "algorithm design", focusing on practical methods for solving large linear systems efficiently. They are joined by "June Donato", "Jack Dongarra", and "Victor Eijkhout", who contribute deep expertise in "iterative solvers", "high-performance computing", and "parallel algorithms". Together, the authors combine theory and practice to support engineers, researchers, and students working on large-scale computational problems.

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