Numerical Linear Algebra with Applications: Using MATLAB (Hardcover)

1. Matrices 2. Linear equations 3. Subspaces 4. Determinants 5. Eigenvalues and eigenvectors 6. Orthogonal vectors and matrices 7. Vector and matrix norms 8. Floating point arithmetic 9. Algorithms 10. Conditioning of problems and stability of algorithms 11. Gaussian elimination and the LU decomposition 12. Linear system applications 13. Important special systems 14. Gram-Schmidt decomposition 15. The singular value decomposition 16. Least-squares problems 17. Implementing the?QR factorization 18. The algebraic eigenvalue problem 19. The symmetric eigenvalue problem 20. Basic iterative methods 21. Krylov subspace methods 22. Large sparse eigenvalue problems 23. Computing the singular value decomposition Appendix A. Complex numbers Appendix B. Mathematical induction Appendix C. Chebyshev polynomials