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Gaussian Elimination using Fortran
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program ques_05 | |
implicit none | |
integer, parameter :: n = 4 !No of variables | |
integer :: i, j | |
real :: a(n,n+1), x(n), s | |
!TODO: input all coefficient in 'a6q5_in.txt' | |
open(unit = 2, file = 'input.txt') | |
do i = 1, n | |
read(2,*)(a(i,j), j = 1, n+1) | |
end do | |
write(*,'(/, "Augmented Matrix is : ", /)') | |
do i = 1, n | |
write(*,'(4(5(f10.2,3x)))')(a(i,j), j = 1, n+1) | |
end do | |
do j = 1, n | |
do i = j+1, n | |
a(i,:) = a(i,:) - a(j,:) * a(i,j) / a(j,j) | |
end do | |
end do | |
write(*,'(/, "After Gaussian Elimination : ", /)') | |
do i = 1, n | |
write(*,'(4(5(f10.2,3x)))')(a(i,j), j = 1, n+1) | |
end do | |
do i = n, 1, -1 | |
s = a(i,n+1) | |
do j = i+1, n | |
s = s - a(i,j) * x(j) | |
end do | |
x(i) = s / a(i,i) | |
end do | |
write(*,'(/, "X : ",2/, 4(F10.2, /))')(x(i), i = 1, n) | |
end program |
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2 1 -1 4 19 | |
-1 -2 1 2 -3 | |
2 4 2 1 25 | |
-1 1 -1 -2 -5 |
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