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Texts in Computational Science and Engineering

Numerical Linear Algebra and Matrix Factorizations

Authors: Lyche, Tom

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  • Detailed proofs of practically all results making it suitable for self-study
  • Detailed algorithms in Matlab
  • The book is self-contained, assuming only first year calculus
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  • ISBN 978-3-030-36468-7
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Hardcover $84.99
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About this Textbook

After reading this book, students should be able to analyze computational problems in linear algebra such as linear systems, least squares- and eigenvalue problems, and to develop their own algorithms for solving them.

Since these problems can be large and difficult to handle, much can be gained by understanding and taking advantage of special structures. This in turn requires a good grasp of basic numerical linear algebra and matrix factorizations. Factoring a matrix into a product of simpler matrices is a crucial tool in numerical linear algebra, because it allows us to tackle complex problems by solving a sequence of easier ones.

The main characteristics of this book are as follows:

It is self-contained, only assuming that readers have completed first-year calculus and an introductory course on linear algebra, and that they have some experience with solving mathematical problems on a computer. The book provides detailed proofs of virtually all results. Further, its respective parts can be used independently, making it suitable for self-study.

The book consists of 15 chapters, divided into five thematically oriented parts. The chapters are designed for a one-week-per-chapter, one-semester course. To facilitate self-study, an introductory chapter includes a brief review of linear algebra. 


About the authors

The author has a long experience at the university level, teaching numerical analysis, numerical linear algebra and matrix theory, mathematical optimization, approximation theory, and computer aided geometric design. 
He has received the Dagstuhl foundation’s John Gregory Memorial Award for "Outstanding contributions to geometric modeling" and is a member of Norwegian Academy of Science and Letters. 
He has published more than 90 papers in leading international journals and refereed proceedings, edited 17 books and is on the editorial board of 4 international journals. Jointly with Prof. Jean-Louis Merrien,  he has published the book “Exercises in Computational Mathematics with MATLAB “ published by Springer in 2014.

Table of contents (16 chapters)

Table of contents (16 chapters)

Buy this book

eBook $64.99
price for USA in USD (gross)
  • ISBN 978-3-030-36468-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $84.99
price for USA in USD
  • ISBN 978-3-030-36467-0
  • with online files
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Numerical Linear Algebra and Matrix Factorizations
Authors
Series Title
Texts in Computational Science and Engineering
Series Volume
22
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-36468-7
DOI
10.1007/978-3-030-36468-7
Hardcover ISBN
978-3-030-36467-0
Series ISSN
1611-0994
Edition Number
1
Number of Pages
XXIII, 371
Number of Illustrations
144 b/w illustrations, 37 illustrations in colour
Topics

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