Numerical Linear Algebra

A Concise Introduction with MATLAB and Julia

Folkmar Bornemann (Autor)

Buch | Softcover

X, 153 Seiten

2018
Springer International Publishing (Verlag)
978-3-319-74221-2 (ISBN)

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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.

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

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

Erscheinungsdatum	12.03.2018
Reihe/Serie	Springer Undergraduate Mathematics Series
Übersetzer	Walter Simson
Zusatzinfo	X, 153 p. 1 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	259 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Bornemann • Error Analysis • linear algebra • matrices • matrix theory • numerical linear algebra • Numerical Mathematics • Numerics
ISBN-10	3-319-74221-3 / 3319742213
ISBN-13	978-3-319-74221-2 / 9783319742212
Zustand	Neuware