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Numerical Linear Algebra and Matrix Factorizations

Af: Tom Lyche Engelsk Paperback

Numerical Linear Algebra and Matrix Factorizations

Af: Tom Lyche Engelsk Paperback
Tjek vores konkurrenters priser

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. 


Tjek vores konkurrenters priser
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Tjek vores konkurrenters priser

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. 


Produktdetaljer
Sprog: Engelsk
Sider: 371
ISBN-13: 9783030364700
Indbinding: Paperback
Udgave:
ISBN-10: 3030364704
Kategori: Numerisk analyse
Udg. Dato: 3 mar 2021
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 3 mar 2021
Forfatter(e): Tom Lyche
Forfatter(e) Tom Lyche


Kategori Numerisk analyse


ISBN-13 9783030364700


Sprog Engelsk


Indbinding Paperback


Sider 371


Udgave


Længde 0mm


Bredde 155mm


Højde 235mm


Udg. Dato 3 mar 2021


Oplagsdato 3 mar 2021


Forlag Springer Nature Switzerland AG

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