Root Precision Algorithm
The Root Precision Algorithm is an advanced mathematical technique used for the computation of roots of numbers, functions, or equations with a high degree of accuracy and efficiency. This algorithm is particularly useful in the field of numerical analysis, computer science, and engineering, where solving complex problems often requires finding the precise values of roots. The algorithm leverages iterative methods, approximation techniques, and convergence criteria to determine the required root with the desired level of precision. As a result, the Root Precision Algorithm is widely utilized in various applications, including optimization problems, solving non-linear equations, and finding eigenvalues of matrices.
One of the main advantages of the Root Precision Algorithm is its ability to provide highly accurate results while minimizing the computational resources required for complex calculations. The algorithm achieves this by iteratively refining the approximations of the roots, ensuring that the resulting values converge towards the true root within the specified tolerance. Moreover, the algorithm is adaptive and can be tailored to suit different types of problems, such as polynomial, transcendental, or algebraic equations, making it a versatile tool for various domains. The Root Precision Algorithm's effectiveness and adaptability have made it an indispensable tool for researchers, scientists, and engineers working on intricate mathematical problems.
package Others;
import java.util.Scanner;
public class RootPrecision {
public static void main(String[] args) {
// take input
Scanner scn = new Scanner(System.in);
// N is the input number
int N = scn.nextInt();
// P is precision value for eg - P is 3 in 2.564 and 5 in 3.80870.
int P = scn.nextInt();
System.out.println(squareRoot(N, P));
scn.close();
}
public static double squareRoot(int N, int P) {
// rv means return value
double rv;
double root = Math.pow(N, 0.5);
// calculate precision to power of 10 and then multiply it with root value.
int precision = (int) Math.pow(10, P);
root = root * precision;
/*typecast it into integer then divide by precision and again typecast into double
so as to have decimal points upto P precision */
rv = (int) root;
return rv / precision;
}
}
