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Lab Manual For PSA  

 % Gauss Seidel method clc clear all close all x1(1) =0; x2(1) =0; x3(1) =0; x4(1) =0; for i=1:100     it(i)=i;     x1(i+1)= (3+ 2*x2(i)+ x3(i)+ x4(i))/10;     x2(i+1)= (15+2*x1(i+1) + x3(i) + x4(i))/10;     x3(i+1) = (27+ x1(i+1) + x2(i+1) + 2* x4(i))/10;     x4(i+1) = (-9+ x1(i+1) + x2(i+1) + 2* x3(i+1))/10; er1=((x1(i+1)-x1(i))*100/x1(i+1)); er2=((x2(i+1)-x2(i))*100/x2(i+1)); er3=((x3(i+1)-x3(i))*100/x3(i+1)); er4=((x4(i+1)-x4(i))*100/x4(i+1)); if ( er1<0.01 && er2<0.01 && er3<0.01 && er4<0.01 ) break; end end disp(' Iteration X1 X2 X3 X4'); disp ( [ it' x1(2:i+1)' x2(2:i+1)' x3(2:i+1)' x4(2:i+1)' ] ) ; % Newton-Raphson method clc clear all x(1)=2; error(1) = 0; it(1)=1; for k=2 : 100 it(k)=k; f(k-1)=x(k-1)^3-2*x(k-1)-5; f1(k-1)=3*x(k-1)^2-2; x(k)=x(k-1)-(f(k-1)/f1(k-1)); if(k>1) error(k) = abs((x(k)-x(k-1))/x(k))*100; if( error(k)<0.01) f(k)=x(k)^3-2*x(k)-5; break; end end end disp('Iteration x f(x) Error(%)&

  Calculate Average by using Array //Average of n Numbers  #include <stdio.h> int main()  {     int a[100],n,i;     float avg=0,sum=0;     printf("How many numbers do you want to calculate for average: ");     scanf("%d", &n);     printf("Enter your numbers: ");     for(i=1;i<=n;i++)      {         scanf("%d", &a[i]);         sum=sum+a[i];     }     avg=sum/n;     printf("The average is %f",avg);     return 0; } Swaping   #include <stdio.h> int main() {   double a, b;   printf("Enter a: ");   scanf("%lf", &a);   printf("Enter b: ");   scanf("%lf", &b); // a = (initial_a - initial_b)   a = a - b;      // b = (initial_a - initial_b) + initial_b = initial_a   b = a + b;   // a = initial_a - (initial_a - initial_b) = initial_b   a = b - a;   // %.2lf displays numbers up to 2 decimal places   printf("After swapping, a = %.2lf\n", a);   printf("After swappin