CYBER DEAL: 50% off all Springer eBooks | Get this offer!

Texts in Computational Science and Engineering

Exercises in Numerical Linear Algebra and Matrix Factorizations

Authors: Lyche, Tom, Muntingh, Georg, Ryan, Øyvind

Free Preview
  • Many exercises are presented with several solutions (where there may not be a best one)
  • Presentation which is tied heavily to that of the textbook “Numerical Linear Algebra and Matrix Factorizations”, published as Vol. 22 of Springer's "Texts in Mathematical Science and Engineering" series
  • Contains many examples of implementations in the exercises
see more benefits

Buy this book

eBook $64.99
price for USA in USD
  • ISBN 978-3-030-59789-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $84.99
price for USA in USD
About this Textbook

To put the world of linear algebra to advanced use, it is not enough to merely understand the theory; there is a significant gap between the theory of linear algebra and its myriad expressions in nearly every computational domain. To bridge this gap, it is essential to process the theory by solving many exercises, thus obtaining a firmer grasp of its diverse applications. Similarly, from a theoretical perspective, diving into the literature on advanced linear algebra often reveals more and more topics that are deferred to exercises instead of being treated in the main text. As exercises grow more complex and numerous, it becomes increasingly important to provide supporting material and guidelines on how to solve them, supporting students’ learning process. 

This book provides precisely this type of supporting material for the textbook “Numerical Linear Algebra and Matrix Factorizations,” published as Vol. 22 of Springer’s Texts in Computational Science and Engineering series. Instead of omitting details or merely providing rough outlines, this book offers detailed proofs, and connects the solutions to the corresponding results in the textbook. For the algorithmic exercises the utmost level of detail is provided in the form of MATLAB implementations. Both the textbook and solutions are self-contained. This book and the textbook are of similar length, demonstrating that solutions should not be considered a minor aspect when learning at advanced levels.



About the authors

Tom Lyche is professor emeritus at the University of Oslo. His research interests are in numerical analysis, and splines in approximation theory. He is the author with Jean-Louis Merrien of the book "Exercises in Computational Mathematics with MATLAB" and  editor on numerous books on spline methods,  computer aided geometric design and  approximation theory. He has been a co-organizer of many conferences, in particular the  two conference series "Mathematical Methods for Curves and Surfaces" in Norway and "Curves and Surfaces" in France.

Georg Muntingh is a research scientist at the Department of Mathematics and Cybernetics at SINTEF Digital. Jointly with Dr. Tor Dokken, he edited the book “SAGA --- Advances in Shapes, Geometry, and Algebra”, published by Springer in 2014. His research has an interdisciplinary nature and spans a wide range of research fields, with papers published on algebraic geometry, approximation theory, combinatorics, geometric modelling, physics and machine learning.

Øyvind Ryan is associate professor at the Department of Mathematics at the University of Oslo. His main interest lies in book projects on topics building heavily on linear algebra, and he has published the book “Linear Algebra, Signal Processing, and Wavelets – A Unified Approach”, published by Springer in 2019.


Table of contents (15 chapters)

Table of contents (15 chapters)

Buy this book

eBook $64.99
price for USA in USD
  • ISBN 978-3-030-59789-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $84.99
price for USA in USD
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Exercises in Numerical Linear Algebra and Matrix Factorizations
Authors
Series Title
Texts in Computational Science and Engineering
Series Volume
23
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-59789-4
DOI
10.1007/978-3-030-59789-4
Hardcover ISBN
978-3-030-59788-7
Series ISSN
1611-0994
Edition Number
1
Number of Pages
XIX, 265
Number of Illustrations
2 b/w illustrations, 10 illustrations in colour
Topics