Ebook: Numerical Linear Algebra: A Concise Introduction with MATLAB and Julia
Author: Folkmar Bornemann (auth.)
- Tags: Linear and Multilinear Algebras Matrix Theory
- Series: Springer Undergraduate Mathematics Series
- Year: 2018
- Publisher: Springer International Publishing
- Edition: 1
- Language: English
- pdf
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.