Classical Iterative Methods for the Solution of …Classical Iterative Methods for the Solution of...

Post on 28-Jun-2020

3 views 0 download

transcript

Classical Iterative Methods for the Solution of Linear Systems

Sugestão de referência

● David S. Watkins, 3rd, Chapter 8

● Lloyd N. Trefethen, David Bau III, Lecture 38. Conjugate Gradients

● Yousef Saad, 2nd ed, Chapter 4

Classical Iterative Methods for the Solution of Linear Systems

Classical Iterative Methods for the Solution of Linear Systems

The Splitting Approach

The Splitting Approach

The Splitting Approach

The Splitting Approach

The Splitting Approach

How should we choose M and N ?

How should we choose M and N ?

How should we choose M and N ?

How should we choose M and N ?The Jacobi method

The Jacobi method

The Jacobi method

The Gauss-Seidel method

The Gauss-Seidel method

The Gauss-Seidel method

The Gauss-Seidel method

The Gauss-Seidel method

The Gauss-Seidel method

The Gauss-Seidel method

Successive Over-Relaxation (SOR)

Successive Over-Relaxation (SOR)

Successive Over-Relaxation (SOR)

Successive Over-Relaxation (SOR)

Successive Over-Relaxation (SOR)

Successive Over-Relaxation (SOR)