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116 lines
4.0 KiB
Java
116 lines
4.0 KiB
Java
/*
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This is the java implementation of multiplication of two matrices consisting of complex numbers. Complex numbers are of the form a+bi.
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*/
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//This is a sample program to find the multiplication of two matrices consisting of complex numbers of any dimension
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import java.util.Scanner;
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public class Complex_Multiplication_Matrix
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{
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private double real=0.0, img=0.0;
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public Complex_Multiplication_Matrix(double real, double img)
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{
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this.real = real;
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this.img = img;
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}
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public Complex_Multiplication_Matrix()
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{
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this.real = 0;
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this.img = 0;
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}
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public Complex_Multiplication_Matrix complex_Form(double re, double im)
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{
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Complex_Multiplication_Matrix res = new Complex_Multiplication_Matrix();
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res.real = re;
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res.img = im;
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return res;
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}
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public Complex_Multiplication_Matrix multiplication(Complex_Multiplication_Matrix C2)
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{
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Complex_Multiplication_Matrix Res = new Complex_Multiplication_Matrix();
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Res.real = (this.real * C2.real) - (this.img * C2.img);
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Res.img = (this.real * C2.img) + (this.img * C2.real);
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return Res;
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}
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public Complex_Multiplication_Matrix addtion(Complex_Multiplication_Matrix C2)
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{
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Complex_Multiplication_Matrix Res = new Complex_Multiplication_Matrix();
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this.real += C2.real;
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this.img += C2.img;
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Res.real = this.real;
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Res.img = this.img;
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return Res;
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}
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public Complex_Multiplication_Matrix[][] matrix_multiplication(Complex_Multiplication_Matrix[][] a, Complex_Multiplication_Matrix[][] b, Complex_Multiplication_Matrix[][] res, int n)
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{
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for (int i = 0; i < n; i++)
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for (int j = 0; j < n; j++)
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for (int k = 0; k < n; k++)
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res[i][j] = res[i][j].addtion(a[i][k].multiplication(b[k][j]));
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return res;
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}
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public static void main(String args[])
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{
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Scanner sc = new Scanner(System.in);
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System.out.println("Enter the dimension of the square matrix: ");
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int n = sc.nextInt();
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double re,im;
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Complex_Multiplication_Matrix[][] a = new Complex_Multiplication_Matrix[n][n];
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Complex_Multiplication_Matrix[][] b = new Complex_Multiplication_Matrix[n][n];
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Complex_Multiplication_Matrix[][] res = new Complex_Multiplication_Matrix[n][n];
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Complex_Multiplication_Matrix C = new Complex_Multiplication_Matrix();
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System.out.println("Enter the complex elements of 1st matrix: ");
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for(int i=0; i<n; i++)
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{
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for(int j=0; j<n; j++)
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{
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re = sc.nextDouble();
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im = sc.nextDouble();
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a[i][j] = C.complex_Form(re, im);
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}
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}
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System.out.println("Enter the complex elements of matrix: ");
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for(int i=0; i<n; i++)
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{
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for(int j=0; j<n; j++)
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{
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re = sc.nextDouble();
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im = sc.nextDouble();
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b[i][j] = C.complex_Form(re, im);
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}
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}
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for(int i=0; i<n; i++)
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{
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for(int j=0; j<n; j++)
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{
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re = 0.0;
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im = 0.0;
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res[i][j] = C.complex_Form(re, im);
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}
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}
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res = C.matrix_multiplication(a, b, res, n);
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System.out.println("The Multiplication is:");
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for(int i=0; i<n; i++)
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{
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for(int j=0; j<n; j++)
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System.out.print(res[i][j].real+"+"+res[i][j].img+"i ");
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System.out.println();
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}
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sc.close();
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}
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}
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/*
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Enter the dimension of the square matrix:
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2
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Enter the complex elements of matrix:
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1 2 1 2
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1 2 1 2
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Enter the complex elements of matrix:
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1 2 1 2
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1 2 1 2
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The Multiplication is:
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-6.0+8.0i -6.0+8.0i
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-6.0+8.0i -6.0+8.0i |