Computational Linear Algebra: With Applications and Matlab(r) Computations

ISBN-13: 9781032302461 / Angielski / Twarda / 2023 / 288 str.

Robert E. White

Opis

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.

Spis treści

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.