1st Edition

Computational Linear Algebra with Applications and MATLAB® Computations

By Robert E. White Copyright 2023
330 Pages 31 B/W Illustrations
by Chapman & Hall

330 Pages 31 B/W Illustrations
by Chapman & Hall

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... Read more

Preface
Introduction
1. Solution of AX = d
2. Matrix Factorizations
3. Least Squares and Normal Equations
4. Ax = d with m<n
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
Bibliography
Index

Biography

Robert E. White is Professor Emeritus, North Carolina State University. He is also the author of Computational Mathematics: Models, Methods, Analysis with MATLAB® and MPI, second edition and Elements of Matrix Modeling and Computing with MATLAB®, both published by CRC Press.