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matlab

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  1. %solving the equations using Gauss-Seudek method :
  2. %5x1+2x2-x3-x4=0
  3. %2x1+9x2+x3-x4=4
  4. %x1-2x2+1-x3+x4=5
  5. %x1+x2+x3+6x4=30
  6. %initial values:x2=0,x3=0,x4=0
  7. %iterate 3 times
  8. %solution:
  9. %x1=(x4+x3-2x2)5
  10. %x2=(4+x4-x3-2x1)9
  11. %x3=(5-x4+2x2-x1)10
  12. %x4=(30-x3-x2-x1)6
  13. clear;csc;format('long','g');
  14. i=1;
  15. x2(i)=0;
  16. x3(i)=0;
  17. x4(i)=0;
  18. iterats(i)=4;
  19. while iterats(i)<=4
  20.     disp(iterate (i));
  21.     x1(i+1)=(x4(i)+x3(i)-2*x2(i))/5;
  22.     x2(i+1)=(4+x4(i)-x3(i)-2*x1(i+1))/9;
  23.     x3(i+1)=(5-x4(i)+2*x2(i+2)-x1(i+1))/10;
  24.     x4(i+1)=(30-x3(i+3)-x2(i+1)-x1(i+1))/6;
  25. end
  26.  
  27. disp('x1');
  28. disp('x2');
  29. disp('x3');
  30. disp('x4');
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