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.

Autorentext

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

Klappentext

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.

Inhalt

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