Finding the matrix inverse hyperbolic tangent.

Here’s an example of a Java program that calculates the matrix inverse hyperbolic tangent using the Apache Commons Math library:

  import org.apache.commons.math3.linear.MatrixUtils;

   import org.apache.commons.math3.linear.RealMatrix;

   import org.apache.commons.math3.linear.SingularMatrixException;

   public class MatrixInverseHyperbolicTangent {

    public static void main(String[] args) {

        // Define the input matrix

        double[][] inputMatrix = {{1.0, 2.0}, {3.0, 4.0}};

        try {

            // Calculate the matrix inverse hyperbolic tangent

            RealMatrix matrix = MatrixUtils.createRealMatrix(inputMatrix);

            RealMatrix inverseTanhMatrix = inverseTanh(matrix);

            // Print the result

            System.out.println("Matrix Inverse Hyperbolic Tangent:");

            printMatrix(inverseTanhMatrix.getData());

        } catch (SingularMatrixException e) {

            System.out.println("Input matrix is singular. Inverse hyperbolic tangent cannot be calculated.");

        }

    }

    private static RealMatrix inverseTanh(RealMatrix matrix) {

        // Calculate the element-wise inverse hyperbolic tangent

        double[][] data = matrix.getData();

        for (int i = 0; i < data.length; i++) {

            for (int j = 0; j < data[i].length; j++) {

                data[i][j] = Math.atanh(data[i][j]);

            }

        }

        return MatrixUtils.createRealMatrix(data);

    }

    private static void printMatrix(double[][] matrix) {

        for (int i = 0; i < matrix.length; i++) {

            for (int j = 0; j < matrix[i].length; j++) {

                System.out.printf("%.4f\t", matrix[i][j]);

            }

            System.out.println();

        }

    }

}

In this example, we use the `MatrixUtils` class from the Apache Commons Math library to create a real matrix from a 2D array. Then, the `inverseTanh` method calculates the element-wise inverse hyperbolic tangent of the matrix. Finally, the `printMatrix` method is used to display the resulting matrix.

Note that the program handles the `SingularMatrixException` in case the input matrix is singular and the inverse hyperbolic tangent cannot be calculated.