# Seidel method

## Seidel method

[′zīd·əl ‚meth·əd]
(mathematics)
A basic iterative procedure for solving a system of linear equations by reducing it to triangular form. Also known as Gauss-Seidel method.
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It includes Gauss Seidel method, Newton Raphson method and fast decoupled method.
Kohno, "Adaptive Gauss Seidel method for linear systems," International Journal of Computer Mathematics, vol.
First, we have to assume initial guess to start the Gauss Seidel Method.
1 PROGRAM % This function applies N iterations of Gauss Seidel method to the system of non-linear equations Ax = b % x0 is intial value tol =0.
Gauss Seidel Method for non-linear systems of equations has been presented by [15].
STRUCTURED LOAD FLOWConsidering that, the high ratio of R/X in distribution grids prevents the use of common methods of the load flow ofpower systems such as Newton Raphson method, Gauss- Seidel method, etc.
After that we have to choose initial guess to start Gauss Seidel method then substitute the solution in the above equation and use the most recent value.
Advantageously, Gauss Seidel method is very effective concerning computer storage and time requirements.

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