Example: Calculate Matrix Frobenius Norm in C++

// Calculate Matrix Frobenius Norm
#include <iostream>
#include <vector>
#include <cmath> // For std::sqrt

// Function to calculate the Frobenius norm of a matrix
double calculateFrobeniusNorm(const std::vector<std::vector<int>>& matrix, int rows, int cols) {
    double sumOfSquares = 0.0;
    // Iterate through all elements of the matrix
    for (int i = 0; i < rows; ++i) {
        for (int j = 0; j < cols; ++j) {
            sumOfSquares += static_cast<double>(matrix[i][j]) * matrix[i][j];
        }
    }
    // Return the square root of the sum of squares
    return std::sqrt(sumOfSquares);
}

int main() {
    // Example matrix (3x3)
    std::vector<std::vector<int>> myMatrix = {
        {1, 2, 3},
        {4, 5, 6},
        {7, 8, 9}
    };

    int numRows = myMatrix.size();
    int numCols = myMatrix[0].size();

    // Calculate and print the Frobenius norm
    double normValue = calculateFrobeniusNorm(myMatrix, numRows, numCols);
    std::cout << "Frobenius Norm of the matrix: " << normValue << std::endl;

    return 0;
}