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## Gauss-Seidel Method, Jacobi Method

version 1.0.0.0 (29.4 KB) by Bhartendu

### Bhartendu (view profile)

The Jacobi and Gauss-Seidel Iterative Methods

Updated 29 May 2017

Refer: https://www3.nd.edu/~zxu2/acms40390F12/Lec-7.3.pdf
Jacobi Method:
Jacobi iterative method is an algorithm for determining the solutions of a diagonally dominant system of linear equations. Each diagonal element is solved for, and an approximate value is plugged in. The process is then iterated until it converges.

Gauss–Seidel method:
Gauss–Seidel method, also known as the Liebmann method or the method of successive displacement, is an iterative method used to solve a linear system of equations.

### Cite As

Bhartendu (2020). Gauss-Seidel Method, Jacobi Method (https://www.mathworks.com/matlabcentral/fileexchange/63167-gauss-seidel-method-jacobi-method), MATLAB Central File Exchange. Retrieved .

Michael Hastings

Tijn Blommaert

### Tijn Blommaert (view profile)

If I use a random generated matrix for A and b e.g. A=randi(9,5) and b=randi(9,5,1) and as initial guess x=zeros(5,1) I get Inf or NaN for the values in the x matrix.

earth science learner

Vitor Gonçalves

sagar kumar dash

No One

Onkarnath Thakur

Faruk Öztürk

### Faruk Öztürk (view profile)

in jacobi method you need to change x(j) with xold(j) otherwise it's gauss seidel

Bhartendu

### Bhartendu (view profile)

Code is shared for Learning and practising purpose. Solution given is valid and correct.

Pushpendu Ghosh

### Pushpendu Ghosh (view profile)

It's incorrect. Gauss Siedel and Jacobi give same output

Julien GUEGAN

### Julien GUEGAN (view profile)

In your example, you compare the 2 differents methods with differents initial guess ? That's doesn't seem relevant ... And if I use the same initial guess, the 2 methods have exactly the same convergence ....

Han Zhang

### Han Zhang (view profile)

Modified Gauss-Seidel (G-S) Load Flow in IEEE 6 Bus System (Matlab)

Mais Alsharif

ML_Lab

No One

### No One (view profile)

earth science learner

### earth science learner (view profile)

does not work for me wrong solution

NISHANT DHIMAN

### NISHANT DHIMAN (view profile)

Solve the nonlinear ordinary differential equation for the temperature distribution:

sagar kumar dash

Vidhula M.V

### Vidhula M.V (view profile)

##### MATLAB Release Compatibility
Created with R2014a
Compatible with any release
##### Platform Compatibility
Windows macOS Linux