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caoweiyue

гæ (СÓÐÃûÆø)

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program main
implicit none
integer::i,L
integer,parameter::n=4
real::A(n,n),b(n),x(n)
data A / 0.2368,0.1968,0.1582,1.1161,0.2471,0.2071,1.1675,0.1254,&
         &0.2568,1.2168,0.1768,0.1397,1.2671,0.2271,0.1871,0.1490 /
data b / 1.8471,1.7471,1.6471,1.5471 /
call agaus(A,b,n,L)
if(L==0) then
  write(*,*) "fail"
else
  do i=1,n
    write(*,"('x',i1,'=',f6.4)" i,x(i)
  end do
end if
stop
end program

subroutine agaus(A,b,n,L)
implicit none
integer:: i,j,k,n,is,js,L
real:: D, T
real:: A(n,n),b(n),x(n)

L=1
do k=1,n-1
  D=0.0
!Ñ¡³öÁË×î´óµÄ£¬²¢±£´æÆäλÖÃ
   do i=k,n
     do j=k,n
           if( abs(A(i,j))>D ) then
           D=A(i,j)
                   is=i
                    js=j
           end if  
     end do
   end do
  if(D+1.0==1.0) then
    L=0
    return
  end if
!Áн»»»
  if(js/=k) then
    do i=1,n
          T=A(i,k)
          A(i,k)=A(i,js)
      A(i,js)=T
    end do
  end if
!Ðн»»»
  if(is/=k) then
    do j=k,n
          T=A(k,j)
          A(k,j)=A(is,j)
          A(is,j)=A(k,j)
        end do
        T=b(k)
        b(k)=b(is)
        b(is)=b(k)
  end if
!»¯³ÉÈý½Ç¾ØÕó
  do i=k+1,n
    do j=k,n
          A(i,j)=A(i,j)-A(i,k)/A(k,k)*A(k,j)
        end do
        b(i)=b(i)-A(i,k)/A(k,k)*b(k)
  end do
end do
if(A(n,n)+1.0==1.0) then
  L=0
  return
end if
!»Ø´ú
x(n)=b(n)/A(n,n)
  do i=n-1,1,-1
    T=0.0
          do j=i+1,n
            T=T+A(i,j)*x(j)
          end do
        x(i)=(b(i)-T)/A(i,i)
  end do
  return
end subroutine agaus
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daizhijuan

гæ (³õÈëÎÄ̳)

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write(*,"('x',i1,'=',f6.4)" i,x(i)
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real:: A(n,n),b(n),x(n)
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