Finding the condition number of a matrix

Here’s a Java program that calculates the condition number of a matrix:

   import Jama.Matrix;

   public class ConditionNumberCalculator {

    public static void main(String[] args) {

        double[][] matrixData = { { 1, 2, 3 }, { 4, 5, 6 }, { 7, 8, 9 } }; // Replace with your own matrix data

        Matrix matrix = new Matrix(matrixData);

        double conditionNumber = calculateConditionNumber(matrix);

        System.out.println("Condition Number: " + conditionNumber);

    }

    public static double calculateConditionNumber(Matrix matrix) {

        Matrix singularValueDecomposition = matrix.svd().getS();

        double largestSingularValue = singularValueDecomposition.get(0, 0);

        double smallestSingularValue = singularValueDecomposition.get(

                singularValueDecomposition.getRowDimension() - 1,

                singularValueDecomposition.getColumnDimension() - 1

        );

        return largestSingularValue / smallestSingularValue;

    }

}

In this program, we use the `Jama` library to perform the singular value decomposition (SVD) of the matrix. The SVD provides the singular values of the matrix, which we use to calculate the condition number. The condition number is defined as the ratio of the largest singular value to the smallest singular value.

Make sure you have the `jama.jar` library file in your classpath for the program to compile and run successfully. You can download the library from the following link: http://math.nist.gov/javanumerics/jama/

Replace the `matrixData` array with your own matrix data. The program assumes a 3×3 matrix in this example.

After running the program, it will output the calculated condition number of the matrix.