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Exercises in Numerical Linear Algebra and Matrix Factorizations

Af: Øyvind Ryan, Georg Muntingh, Tom Lyche Engelsk Paperback

Exercises in Numerical Linear Algebra and Matrix Factorizations

Af: Øyvind Ryan, Georg Muntingh, Tom Lyche Engelsk Paperback
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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.



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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.



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Produktdetaljer
Sprog: Engelsk
Sider: 265
ISBN-13: 9783030597917
Indbinding: Paperback
Udgave:
ISBN-10: 3030597911
Kategori: Numerisk analyse
Udg. Dato: 3 nov 2021
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 3 nov 2021
Forfatter(e): Øyvind Ryan, Georg Muntingh, Tom Lyche
Forfatter(e) Øyvind Ryan, Georg Muntingh, Tom Lyche

Kategori Numerisk analyse

ISBN-13 9783030597917

Sprog Engelsk

Indbinding Paperback

Sider 265

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 3 nov 2021

Oplagsdato 3 nov 2021

Forlag Springer Nature Switzerland AG