Computational Linear Algebra
with Applications and MATLAB (R) Computations
1st Edition
Published on 21. April 2023
Book
Hardback
312 pages
978-1-032-30246-1 (ISBN)
Description
Courses on linear algebra and numerical analysis need each other. Often NA courses have some linear algebra topics, and LA courses mention some topics from numerical analysis/scientific computing. This text merges these two areas into one introductory undergraduate course. It assumes students have had multivariable calculus. A second goal of this text is to demonstrate the intimate relationship of linear algebra to applications/computations.
A rigorous presentation has been maintained. A third reason for writing this text is to present, in the first half of the course, the very important topic on singular value decomposition, SVD. This is done by first restricting consideration to real matrices and vector spaces. The general inner product vector spaces are considered starting in the middle of the text.
The text has a number of applications. These are to motivate the student to study the linear algebra topics. Also, the text has a number of computations. MATLAB (R) is used, but one could modify these codes to other programming languages. These are either to simplify some linear algebra computation, or to model a particular application.
A rigorous presentation has been maintained. A third reason for writing this text is to present, in the first half of the course, the very important topic on singular value decomposition, SVD. This is done by first restricting consideration to real matrices and vector spaces. The general inner product vector spaces are considered starting in the middle of the text.
The text has a number of applications. These are to motivate the student to study the linear algebra topics. Also, the text has a number of computations. MATLAB (R) is used, but one could modify these codes to other programming languages. These are either to simplify some linear algebra computation, or to model a particular application.
More details
Series
Language
English
Place of publication
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Professional and scholarly
Postgraduate and Professional
Illustrations
31 s/w Zeichnungen, 31 s/w Abbildungen
31 Line drawings, black and white; 31 Illustrations, black and white
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 22 mm
Weight
661 gr
ISBN-13
978-1-032-30246-1 (9781032302461)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
E-Book
04/2023
1st Edition
Chapman & Hall/CRC
€67.49
Available for download
E-Book
04/2023
1st Edition
Chapman & Hall/CRC
€67.49
Available for download
Person
Robert E. White is Professor Emeritus, North Carolina State University. He is also the author of Computational Mathematics: Models, Methods, Analysis with MATLAB (R) and MPI, second edition and Elements of Matrix Modeling and Computing with MATLAB (R), both published by CRC Press.
Content
1. Solution of AX = d. 2. Matrix Factorizations. 3. Least Squares and Normal Equations. 4. Ax = d with m 5. Orthogonal Subspaces and Bases. 6. Eigenvectors and Orthonormal Basis. 7. Singular Value Decomposition. 8. Three Applications of SVD. 9. Pseudoinverse of A. 10. General Inner Product Vector Spaces. 11. Iterative Methods. 12. Nonlinear Problems and Least Squares.