Numerical Linear Algebra A Concise Introduction with MATLAB and Julia /

• Main Author: Bornemann, Folkmar (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Springer Undergraduate Mathematics Series,
• Subjects: Matrix theory.; Algebra.; Numerical analysis.; Linear and Multilinear Algebras, Matrix Theory.; Numerical Analysis.
• Physical Description: X, 153 p. 1 illus. in color. online resource.
• ISBN: 9783319742229
• ISSN: 1615-2085
• DOI: 10.1007/978-3-319-74222-9

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.