Numerical_Method

NTNU CSIE 111-1 Numerical Method

Syllabus

Solving Linear Equations

• Nested multiplication
• Bisection
• FPI ( Fixed Point Iteration )
• Newton's Method
• Secant's Method

Solving Systems of Equations

• Gaussian Elimination
• Partial Pivoting
• Jacobi
• Gauss-Seidal
• Multivariate Newton

Interpolation

• Lagrange Interpolation
• Newton's Divided Difference

Least Squares

• Normal Equations
• QR Factorization
• Gauss-Newton Method

Optimization

• Gradient Descent