Numerical Linear Algebra

A Concise Introduction with MATLAB and Julia
1. Auflage 2018
ISBN: 978-3-319-74221-2
Verlag: Springer International Publishing

Buch, Englisch, 153 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 260 g

Reihe: Springer Undergraduate Mathematics Series

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.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Bornemann, Folkmar

Weitere Mitwirkende

Simson, Walter

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Inhaltsverzeichnis

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

Über Autor(innen)

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