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Numerical Linear Algebra

A Concise Introduction with MATLAB and Julia

  • Folkmar Bornemann

Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Table of contents

  1. Front Matter
    Pages i-x
  2. Folkmar Bornemann
    Pages 1-19
  3. Folkmar Bornemann
    Pages 21-37
  4. Folkmar Bornemann
    Pages 39-67
  5. Folkmar Bornemann
    Pages 69-74
  6. Folkmar Bornemann
    Pages 75-97
  7. Back Matter
    Pages 99-153

About this book

Introduction

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.

Keywords

Linear Algebra Numerics Numerical Mathematics Matrices Error Analysis Bornemann Numerical linear algebra

Authors and affiliations

  • Folkmar Bornemann
    • 1
  1. 1.Center for Mathematical SciencesTechnical University of MunichGarchingGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-74222-9
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-74221-2
  • Online ISBN 978-3-319-74222-9
  • Series Print ISSN 1615-2085
  • Series Online ISSN 2197-4144
  • Buy this book on publisher's site