CloudOptimized AI Solutions Leverage Advanced Newton-Raphson Methodologies

ALGORITHM: Newton-Raphson Method for Finding Roots INPUT: OUTPUT: Step 1: START Step 2: Set iteration count i = 0 Step 3: Input initial guess x₀ Step 4: Input tolerance value ε (e.g., 0.00001) Step 5: Input maximum iterations N (e.g., 100) Step 6: DO WHILE i MAX_ITERATIONS) { printf("\nMaximum itera