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Introduction to Computational Linear Algebra

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Introduction to Computational Linear Algebra introduces the reader with a background in basic mathematics and computer programming to the fundamentals of dense and sparse matrix computations with illustrating examples. The textbook is a synthesis of conceptual and practical topics in ""Matrix Computations."" The book's learning outcomes are twofold: to understand state-of-the-art computational tools to solve matrix Read more...

Abstract: Introduction to Computational Linear Algebra introduces the reader with a background in basic mathematics and computer programming to the fundamentals of dense and sparse matrix computations with illustrating examples. The textbook is a synthesis of conceptual and practical topics in ""Matrix Computations."" The book's learning outcomes are twofold: to understand state-of-the-art computational tools to solve matrix computations problems (BLAS primitives, MATLAB® programming) as well as essential mathematical concepts needed to master the topics of numerical linear algebra. It is suitable for s

Author(s): Erhel, Jocelyne; Nassif, Nabil; Philippe, Bernard
Publisher: Taylor and Francis
Year: 2015

Language: English
Pages: 258
City: Hoboken
Tags: Математика;Вычислительная математика;Вычислительные методы линейной алгебры;

Content: Front Cover
Contents
Preface
About the Authors
List of Figures
List of Tables
List of Algorithms
Chapter 1: Basic Linear Algebra Subprograms BLAS
Chapter 2: Basic Concepts for Matrix Computations
Chapter 3: Gauss Elimination and LU Decompositions of Matrices
Chapter 4: Orthogonal Factorizations and Linear Least Squares Problems
Chapter 5: Algorithms for the Eigenvalue Problem
Chapter 6: Iterative Methods for Systems of Linear Equations
Chapter 7: Sparse Systems to Solve Poisson Di erential Equations
Bibliography
Back Cover