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Numerical Linear Algebra with Julia 1st Edition by Eric Darve, Mary Wootters ISBN 1611976553 9781611976557

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Numerical Linear Algebra with Julia 1st Edition Eric Darve And Mary Wootters Digital Instant Download

Author(s): Eric Darve and Mary Wootters
ISBN(s): 9781611976557, 1611976553
Edition: 1
File Details: PDF, 21.09 MB
Year: 2021
Language: english
SKU: EB-42111088 Category: Tag:

Numerical Linear Algebra with Julia 1st Edition by Eric Darve, Mary Wootters – Ebook PDF Instant Download/Delivery: 1611976553, 9781611976557
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Product details:

ISBN 10: 1611976553 
ISBN 13: 9781611976557
Author: Eric Darve, Mary Wootters

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.

Numerical Linear Algebra with Julia 1st Table of contents:

I: Computing with Matrices

  1. What is Numerical Analysis?

  2. Matrix Calculus

  3. MATLAB

  4. Execution Times

  5. Triangular Matrices

  6. Unitary Matrices

II: Matrix Factorization
7. Triangular Decomposition
8. Cholesky Decomposition
9. QR Decomposition

III: Error Analysis
10. Error Measures
11. Conditioning of a Problem
12. Machine Numbers
13. Stability of an Algorithm
14. Three Exemplary Error Analyses
15. Error Analysis of Linear Systems of Equations

IV: Least Squares
16. Normal Equation
17. Orthogonalization

V: Eigenvalue Problems
18. Basic Concepts
19. Perturbation Theory
20. Power Iteration
21. QR Algorithm

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Tags: Eric Darve, Mary Wootters, Numerical Linear, Algebra