Gaussian Elimination with Pivoting Method

Versión (4,13 KB) por Cheuk
Function uses Gauss elimination with pivoting to solve a linear system in standard format.
4,1K descargas
Actualizado 5 feb 2014

Ver licencia

This function solves a linear system Ax=b using the Gaussian elimination method with pivoting. The algorithm is outlined below:
1) Initialize a permutation vector r = [1, 2,...,n] where r(i) corresponds to row i in A.
2) For k = 1,...,n-1 find the largest (in absolute value) element among a(r(k),k),a(r(k+1),k),...,a(r(n),k).
3) Assume r(j,k) is the largest element. Switch r(j) and r(k).
4) For i=1,...,k-1,k+1,...,n calculates:
zeta = a(r(i),k) / a(r(k),k)
5) For j=k,...,n calculate:
b(r(i)) = b(r(i))-b(r(k))*zeta
6) Steps 1 through 6 has effectively diagonalized A.
7) Each element in the solution vector is:
x(r(i)) = b(i)/a(i,i);


Citar como

Cheuk (2024). Gaussian Elimination with Pivoting Method (, MATLAB Central File Exchange. Recuperado .

Compatibilidad con la versión de MATLAB
Se creó con R2011a
Compatible con cualquier versión
Compatibilidad con las plataformas
Windows macOS Linux
Más información sobre Numerical Integration and Differential Equations en Help Center y MATLAB Answers.

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
Versión Publicado Notas de la versión