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© 2018

Numerical Linear Algebra

A Concise Introduction with MATLAB and Julia

Textbook
  • 21k Downloads

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

  1. 1.Center for Mathematical SciencesTechnical University of MunichGarchingGermany

About the authors

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

Bibliographic information

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