|You are here: Home / Shop / Product Detail Page|
Direct Methods for Sparse Linear Systems (Softcover)
"Overall, the book is magnificent. It fills a long-felt need for an accessible textbook on modern sparse direct methods. Its choice of scope is excellent." — John Gilbert, Professor, Department of Computer Science, University of California, Santa Barbara (as quoted on the back cover)
Need More Info?Please contact us if you've got questions about this product.
LIKE NEW: This book is in excellent, like-new condition.
This book belongs to the Fundamentals of Algorithms series from the SIAM, the Society for Industrial and Applied Mathematics.
Continued from the back cover: “Computational scientists often encounter problem requiring the solution of sparse systems of linear equations. Attacking these problems efficiently requires an in-depth knowledge of the underlying theory, algorithms, and data structures found in sparse matrix software libraries. Here, Davis presents the fundamentals of sparse matrix algorithms to provide the requisite background. The book includes CSparse, a concise downloadable sparse matrix package that illustrates the algorithms and theorems presented in the book and equips readers with the tools necessary to understand larger and more complex software packages.
“With a strong emphasis on MATLAB® software and the C programming language, Direct Methods for Space Linear Systems equips readers with the working knowledge required to use sparse solver packages and wrote code to interface applications to those packages. The book also explains how MATLAB performs its parse matrix computations.
“The invaluable book is essential to computational scientists and software developers who want to understand the theory and algorithms behind modern techniques used to solve large sparse linear systems. The book also serves as an excellent practical resource for students with an interest in combinatorial scientific computing.”
Each chapter has a group of exercise problems.
- Basic algorithms
- Solving triangular systems
- Cholesky factorization
- Orthogonal methods
- LU factorization
- Fill-reducing orderings
- Solving sparse linear systems
- Sparse matrices in MATLAB
- Basics of the C programming language
The book concludes with Bibliography and Index.
- Computer Science
- Davis, Timothy A.
- Society for Industrial and Applied Mathematics
- Publish Date:
- Weight (pounds):
- Dimensions (W”xL”xH”):
- Grade Level:
Products related to "Direct Methods for Sparse Linear Systems (Softcover)"
This textbook can be used for undergraduate courses in combinatorics, second courses in discrete mathematics, introductory graduate courses in applied mathematics programs, and self-study.
"An indispensable resource for researchers and practitioners in AI and optimization." — Henry Kautz, University of Washington
"The goal of this book is to present the basic facts of functional analysis in a form suitable for engineers, scientists, and applied mathematicians. Although the Definition-Theorem-Proof format of mathematics is used, careful attention is given to motivation of the material covered and many illustrative examples are presented." — Preface
"The game industry is a powerful and driving force in the evolution of computer technology. As the capabilities of personal computers, peripheral hardware, and game consoles have grown, so has the demand for high quality information about the algorithms, tools, and descriptions needed to take advantage of this new technology. This book is part of the series that covers the state of the art in real-time 3D.
Mathematics and Its Applications: Division Algebras: Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics (Hardback)
"This is a book of ideas. Most of them arise out of my fascination with the division algebras and their tantalizing potential for a deep connection to physics....Inevitably many of these mathematical ideas will be shown to be intimately linked to the design of our physical world." — Geoffrey M. Dixon, Author
Texts in Applied Mathematics 15: The Mathematical Theory of Finite Element Methods, Third Edition (Hardback)
"This is an excellent, though demanding, introduction to key mathematical topics in the finite element method, and at the same time a valuable reference and source for workers in the area." — Zentralblatt, 2002
Princeton Landmarks in Mathematics and Physics: The Classical Groups: Their Invariants and Representations (Softcover)
Originally published in 1939, this second edition of Hermann Weyl's renowned volume on the classical groups in mathematics has been updated by Princeton University Press and is recommended for the shelves of advanced students, teaching faculty, and professional physicists and mathematicians.
"To accommodate different mathematical backgrounds, the authors avoid special terminology; outline some of the methods in a schematic, simplified manner; number the equations and formulas separately in each section; and arrange the equations in increasing order of complexity." — From the back cover
"Lie groups and lie algebras have become essential to many parts of mathematics and theoretical physics, with Lie algebras a central object of interest in their own right." — From the back cover
"The abstract concepts of metric spaces are often perceived as difficult. This book offers a unique approach to the subject which gives readers the advantage of a new perspective on ideas familiar from the analysis of a real line." — From the back cover
"Linear Optimization (LO) is one of the most widely applied and taught techniques in mathematics, with applications in many areas of science, commerce and industry. The dramatically increased interest in the subject is due mainly to advances in computer technology and the development of Interior Point Methods (IPMs) for LO." — From the back cover
"This book on approximation algorithms is a beautiful example of an ideal textbook. It gives a concise treatment of the major techniques, results, and references in approximation algorithms and provides an extensive and systematic coverage of this topic up to the frontier of current research. It will become a standard textbook and reference for graduate students, teachers, and researchers in the field." — Rolf H. Möhring, Technische Universität Berlin
Texts in Applied Mathematics 41: Integral Transforms and Their Applications, Third Edition (Hardback)
"This book is an introduction to and a reference for the applications of integral transforms to a wide variety of common mathematical problems. Emphasis is placed on the development of techniques and on the connection between properties of transforms and the kinds of problems for which they provide tools." — From the back cover
"The emerging field of computational topology utilizes theory from topology and the power of computing to solve problems in diverse fields. Recent applications include computer graphics, computer-aided design (CAD), and structural biology, all of which involve understanding the intrinsic shape of some real or abstract space." — From the back cover
"Differential geometry and topology are essential tools for many theoretical physicists, particularly in the study of condensed matter physics, gravity, and particle physics. Written by physicists for physics students, this text introduces geometrical and topological methods in theoretical physics and applied mathematics." — From the back cover
Interdisciplinary Applied Mathematics: Quantum Dynamics with Trajectories: Introduction to Quantum Hydrodynamics (Hardback)
"Remarkable progress has recently been made in the application of quantum trajectories as the computational tool for solving quantum mechanical problems. This is the first book to present these developments in the broader context of the hydrodynamical formulation of quantum dynamics." — From the back cover
"This book is not only a foundation for the study of concurrent algorithms of scientific computing; it is also a bridge between disciplines"—mathematical modeling, numerical analysis, and computer science.— Paraphrased from the back cover
"This book is an introductory account of the calculus of variations suitable for advanced undergraduate and graduate students of mathematics, physics, or engineering. The mathematical background assumed of the reader is a course in multivariable calculus, and some familiarity with the elements of real analysis and ordinary differential equations." — From the back cover
Interdisciplinary Applied Mathematics: Systems and Control: Nonholonomic Mechanics and Control (Hardback)
"This book is intended for graduate and advanced undergraduate students in mathematics, physics and engineering who wish to learn this subject and for researchers in the area who want to enhance their techniques." — From the back cover
This text is based on courses taught to undergraduate and graduate students, but can also be used for self-study by biologists, chemists, physicists, astronomers, engineers and geoscientists.