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- Numerical Analysis
- Table of Contents
- 0 Introduction
- 1 Error Analysis
- 2 Numeric Representation
- 3 Iteration
- 4 Linear Algebra
- 4.1 PLU Decomposition
- 4.2 PLU Decomposition on Tridiagonal Matrices
- 4.3 Positive-definite Matrices
- 4.4 Cholesky Decomposition
- 4.5 QR Decomposition
- 4.6 Eigenvalues and Eigenvectors
- 4.7 Norms
- 4.8 Ill-conditioned Matrices
- 4.9 The Jacobi Method
- 4.10 The Gauss-Seidel Method
- 4.11 Overrelaxation Techniques
- 5 Interpolation
- 6 Least Squares
- 7 Taylor Series
- 8 Bracketing
- 9 The Five Techniques
- 10 Root Finding
- 11 Optimization
- 12 Differentiation
- 13 Integration
- 14 Initial-value Problems
- 15 Boundary-value Problems
- Appendices