Direct Methods for Sparse Matrices
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Author Description
This book is concerned with solving very large sets of linear equations, where each equation involves only a small number of variables. Many applications involve equations of this kind and they often need to be solved repeatedly as their entries change.Very special methods are needed to make these calculations feasible. The authors have been involved in designing special algorithms and writing codes to implement them for over 40 years. This book aims to describe in a clear and simple way those algorithms that have stood the test of time, as well as those that have been developed recently to enable the efficient solution of far larger systems and to take advantage hardware
Menrva's Summary
THE THESIS
This book investigates the specialized computational methods required to solve large-scale systems of linear equations characterized by sparse matrices. The author, Iain S. Duff, draws upon over four decades of experience in algorithm design and software implementation to provide a comprehensive overview of numerical techniques. The text bridges the gap between foundational mathematical theory and modern hardware-optimized computational practices, offering a framework for selecting appropriate solvers for complex scientific and engineering problems.
THE SCOPE MAP
What You Will Find
- Algorithms for the efficient factorization and solution of sparse linear systems
- Techniques for managing memory and computational overhead in large-scale matrices
- Analysis of direct solver performance across varying hardware architectures
- Historical and contemporary perspectives on sparse matrix software development
THE AUTHORITY PERSPECTIVE
Experts recognize this work as a definitive reference for researchers and practitioners in numerical linear algebra. Readers frequently note the technical precision of the prose, which serves as a foundational resource for those implementing high-performance scientific software.
Page Count:
429
Publication Date:
2017-03-12
Publisher:
Oxford University Press
ISBN-10:
0198508387
ISBN-13:
9780198508380
Mathematics
Numerical analysis
Matrices
Algorithms
Computer Science
New Used & Rental Textbooks
Scientific Computing
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