Numerical Linear Algebra - A Concise Introduction with MATLAB and Julia

This book offers an introduction to the algorithmic-numerical thinking using basic problems of linear algebra. By focusing on linear algebra, it ensures a stronger thematic coherence than is otherwise found in introductory lectures on numerics. The book highlights the usefulness of matrix partitioning compared to a component view, leading not only to a clearer notation and shorter algorithms, but also to significant runtime gains in modern computer architectures. The algorithms and accompanying numerical examples are given in the programming environment MATLAB, and additionally - in an appendix - in the future-oriented, freely accessible programming language Julia. This book is suitable for a two-hour lecture on numerical linear algebra from the second semester of a bachelor's degree in mathematics.

List of contents

Preface.- I Computing with Matrices.- II Matrix Factorization.- III Error Analysis.- IV Least Squares.- V Eigenvalue Problems.- Appendix.- Notation.- Index.

About the author

Folkmar Bornemann is Professor for Numerical Analysis and Scientific Computing at the Technical University of Munich.

Summary

Interactive, compact textbook with links to interesting contributions.

Introduces algorithmic-numerical thinking using the linear algebra to students of mathematics from the second semester onwards.

Offers a focused introduction to error analysis and perturbation theory.
Includes complete programs and numeric examples in MATLAB and Julia.

Product details

• Authors: Folkmar Bornemann
• Assisted by: Walter Simson (Translation)
• Publisher: Springer, Berlin
• Original title: Numerische lineare Algebra
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2018
• EAN: 9783319742212
• ISBN: 978-3-31-974221-2
• No. of pages: 153
• Dimensions: 161 mm x 237 mm x 12 mm
• Weight: 274 g
• Illustrations: X, 153 p. 1 illus. in color.
• Series: Springer Undergraduate Mathematics Series; Springer Undergraduate Mathematics Series
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra