Numerical Linear Algebra: A Concise Introduction with MATLAB and Julia
- ISBN-10
- 3319742221
- ISBN-13
- 9783319742229
- Series
- Numerical Linear Algebra
- Category
- Mathematics
- Pages
- 153
- Language
- English
- Published
- 2018-01-29
- Publisher
- Springer
- Author
- Folkmar Bornemann
Description
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.
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