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GENERAL NEWTON RAPHSON METHOD

Posted By: William Bouchard     Category: C Programming     Views: 36143

Write a program of GENERAL NEWTON RAPHSON METHOD.

Code for GENERAL NEWTON RAPHSON METHOD in C Programming

#include<conio.h>
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int user_power,i=0,cnt=0,flag=0;
int coef[10]={0};
float x1=0,x2=0,t=0;
float fx1=0,fdx1=0;

void main()
{

    clrscr();

    printf("\n\n\t\t\t PROGRAM FOR NEWTON RAPHSON GENERAL");

    printf("\n\n\n\tENTER THE TOTAL NO. OF POWER:::: ");
    scanf("%d",&user_power);

    for(i=0;i<=user_power;i++)
    {
        printf("\n\t x^%d::",i);
        scanf("%d",&coef[i]);
    }

    printf("\n");

    printf("\n\t THE POLYNOMIAL IS ::: ");
    for(i=user_power;i>=0;i--)//printing coeff.
    {
        printf(" %dx^%d",coef[i],i);
    }

    printf("\n\tINTIAL X1---->");
    scanf("%f",&x1);

    printf("\n ******************************************************");
    printf("\n ITERATION    X1    FX1    F'X1  ");
    printf("\n **********************************************************");

    do
    {
            cnt++;
            fx1=fdx1=0;
            for(i=user_power;i>=1;i--)
            {
                fx1+=coef[i] * (pow(x1,i)) ;
            }
            fx1+=coef[0];
            for(i=user_power;i>=0;i--)
            {
                fdx1+=coef[i]* (i*pow(x1,(i-1)));
            }
            t=x2;
            x2=(x1-(fx1/fdx1));

            x1=x2;

            printf("\n %d         %.3f  %.3f  %.3f ",cnt,x2,fx1,fdx1);

    }while((fabs(t - x1))>=0.0001);
    printf("\n\t THE ROOT OF EQUATION IS %f",x2);
    getch();
}

/*******************************OUTPUT***********************************/
PROGRAM FOR NEWTON RAPHSON GENERAL ENTER THE TOTAL NO. OF POWER:::: 3 x^0::-3 x^1::-1 x^2::0 x^3::1 THE POLYNOMIAL IS ::: 1x^3 0x^2 -1x^1 -3x^0 INTIAL X1---->3 ************************************** ITERATION X1 FX1 F'X1 ************************************** 1 2.192 21.000 26.000 2 1.794 5.344 13.419 3 1.681 0.980 8.656 4 1.672 0.068 7.475 5 1.672 0.000 7.384 ************************************** THE ROOT OF EQUATION IS 1.671700
  
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William Bouchard
William Bouchard author of GENERAL NEWTON RAPHSON METHOD is from Montreal, Canada.
 
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Kanjana Singpong from United States Comment on: Nov 25
how to solve minimum of newton method for this equation ???

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