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Feat : Implemented Gaussian Elimination #2810
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Update Maths/Gaussian.java
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Update Maths/Gaussian.java
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,68 @@ | ||
| /** | ||
| * \file | ||
| * \brief [Gaussian elimination | ||
| * method](https://en.wikipedia.org/wiki/Gaussian_elimination) | ||
| */ | ||
| package Maths; | ||
| import java.util.*; | ||
|
|
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| /** Main function */ | ||
| public class Gaussian { | ||
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| public static void main(String[] args) { | ||
| int mat_size, i, j, step; | ||
| Scanner sc = new Scanner(System.in); | ||
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| System.out.println("Matrix Size : "); | ||
| mat_size = sc.nextInt(); | ||
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| double [][] mat = new double[mat_size+1][mat_size+1]; | ||
| double [][] x = new double[mat_size][mat_size+1]; | ||
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| System.out.println("Enter value of the matrix"); | ||
| System.out.println(' '); | ||
| for (i = 0; i < mat_size; i++) { | ||
| for (j = 0; j <= mat_size; j++) { | ||
| mat[i][j] = sc.nextInt(); | ||
| } | ||
| } | ||
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| // perform Gaussian elimination | ||
| for (step = 0; step < mat_size - 1; step++) { | ||
| for (i = step; i < mat_size - 1; i++) { | ||
| double a = (mat[i + 1][step] / mat[step][step]); | ||
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| for (j = step; j <= mat_size; j++) | ||
| mat[i + 1][j] = mat[i + 1][j] - (a * mat[step][j]); | ||
| } | ||
| } | ||
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| System.out.println("Matrix using Gaussian Elimination method: "); | ||
| System.out.println(" "); | ||
| for (i = 0; i < mat_size; i++) { | ||
| for (j = 0; j <= mat_size; j++) { | ||
| x[i][j] = mat[i][j]; | ||
| System.out.print(mat[i][j] + " "); | ||
| } | ||
| System.out.println(); | ||
| } | ||
| System.out.println( "Value of the Gaussian Elimination method: "); | ||
| System.out.println(" "); | ||
|
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| for (i = mat_size - 1; i >= 0; i--) { | ||
| double sum = 0; | ||
| for (j = mat_size - 1; j > i; j--) { | ||
| x[i][j] = x[j][j] * x[i][j]; | ||
| sum = x[i][j] + sum; | ||
| } | ||
| if (x[i][i] == 0){ | ||
| x[i][i] = 0; | ||
| } | ||
| else{ | ||
| x[i][i] = (x[i][mat_size] - sum) / (x[i][i]); | ||
| } | ||
| System.out.print("x" + i + "=" + x[i][i]); | ||
| System.out.println(" "); | ||
| } | ||
| } | ||
| } | ||
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