Learn · Elementary Numerical Analysis
Lecture 26 of 40Elementary Numerical Analysis
L26-Solution of Non-linear Equations
Prof. Rekha P. Kulkarni · IIT Bombay
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- Elementary Numerical Analysis, IIT Bombay (at NPTEL)
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All the lectures
- L1- Introduction
- L2-Polynomial Approximation
- L3-Interpolating Polynomials
- L4-Properties of Divided Difference
- L5-Error in the Interpolating polynomial
- L6-Cubic Hermite Interpolation
- L7-Piecewise Polynomial Approximation
- L8-Cubic Spline Interpolation
- L9-Tutorial 1
- L10-Numerical Integration: Basic Rules
- L11-Composite Numerical Integration
- L12-Gauss 2-point Rule: Construction
- L13-Gauss 2-point Rule: Error
- L14-Convergence of Gaussian Integration
- L15-Tutorial 2
- L16-Numerical Differentiation
- L17-Gauss Elimination
- L18-L U decomposition
- L19-Cholesky decomposition
- L20-Gauss Elimination with partial pivoting
- L21-Vector and Matrix Norms
- L22-Perturbed Linear Systems
- L23-Ill-conditioned Linear System
- L24-Tutorial 3
- L25-Effect of Small Pivots
- L26-Solution of Non-linear Equations
- L27-Quadratic Convergence of Newton's Method
- L28-Jacobi Method
- L29-Gauss-Seidel Method
- L30-Tutorial 4
- L31-Initial Value Problem
- L32-Multi-step Methods
- L33-Predictor-Corrector Formulae
- L34-Boundary Value Problems
- L35-Eigenvalues and Eigenvectors
- L36-Spectral Theorem
- L37-Power Method
- L38-Inverse Power Method
- L39-Q R Decomposition
- L40-Q R Method