Hermite 插值多项式——JAVA实现

Hermite 插值多项式计算近似值——JAVA实现

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import java.util.Scanner;
public class Hermite {
	//x x //y y //m m // x0 插入的值   // y0 近似值

	public static double[] aaa(double x[],double y[], double m[], double x0[]) {
			int a=x.length;
			int b=x0.length;
			double y0[]=new double[b];
			double add_xj_xk=0;//连加
			double mul_x0_xk=1;//连乘
			double add_h2n1x=0;//近似值
			
		
			for (int i=0;i<b;i++) {//一重循环将不同插值点近似值传给数组y0
				add_h2n1x=0;
				for (int j=0;j<a;j++) {//二重循环计算H2n+1(x)
					mul_x0_xk=1;
					add_xj_xk=0;
						for(int k=0;k<a;k++) {//三重循环计算l'j(xj)和lj(x)
						if (j!=k) {				
							add_xj_xk+=1/(x[j]-x[k]);
							mul_x0_xk*=((x0[i]-x[k])/(x[k]-x[j]));
							
						}
					}
				
					add_h2n1x+=(y[j]*(1-(2*(x0[i]-x[j])*add_xj_xk))*(mul_x0_xk*mul_x0_xk))+(m[j]*(x0[i]-x[j])*(mul_x0_xk*mul_x0_xk));
					
		
				}
				
				y0[i]=add_h2n1x;
				
			}
		
		
		return y0;
	}
	public static void main(String[] args) {
		double []x= {0.1