试图在 fortran77 中实现单参数最小二乘最小化。这是代码;它可以编译并且似乎可以工作,除了......它陷入了h1 = 1.8E-2和3.5E-2的值之间的无限循环。现在看看,但很可能,我自己不会有太多运气来解决这个问题。欢迎大家帮忙!
PROGRAM assignment
! A program designed to fit experiemental data, using the method
! of least squares to minimise the associated chi-squared and
! obtain the four control parameters A,B,h1 and h2.
!*****************************************************************
IMPLICIT NONE
INTEGER i
DOUBLE PRECISION t(17),Ct(17),eCt(17)
DOUBLE PRECISION h1loop1,h1loop2,deltah,Cs
DOUBLE PRECISION chisqa,chisqb,dchisq
OPEN(21, FILE='data.txt', FORM='FORMATTED', STATUS='OLD')
DO i=1,17
READ(21,*)t(i),Ct(i),eCt(i)
END DO
CLOSE(21)
!Read in data.txt as three one dimensional arrays.
!*****************************************************************
!OPEN(21, FILE='outtest.txt', FORM='FORMATTED', STATUS='NEW')
!DO i=1,17
! WRITE(21,*)t(i),Ct(i),eCt(i)
!END DO
!CLOSE(21)
!
!Just to check input file is being read correctly.
!*****************************************************************
!**********************Minimising Lamda1 (h1)*********************
deltah= 0.0001
h1loop2= 0.001
h1loop1= 0.0 !Use initial value of 0 to calculate start-point chisq
DO 10
chisqa= 0.0
DO 20 i= 1, 17
Cs= exp(-h1loop1*t(i))
chisqa= chisqa + ((Ct(i) - Cs)/eCt(i))**2
20 END DO
chisqb= 0.0
DO 30 i= 1, 17
h1loop2= h1loop2 + deltah
Cs= exp(-h1loop2*t(i))
chisqb= chisqb + ((Ct(i) - Cs)/eCt(i))**2
30 END DO
!Print the two calculated chisq values to screen.
WRITE(6,*) 'Chi-squared a=',chisqa,'for Lamda1=',h1loop1
WRITE(6,*) 'Chi-squared b=',chisqb,'for Lamda1=',h1loop2
dchisq= chisqa - chisqb
IF (dchisq.GT.0.0) THEN
h1loop1= h1loop2
ELSE
deltah= deltah - ((deltah*2)/100)
END IF
IF (chisqb.LE.6618.681) EXIT
10 END DO
WRITE(6,*) 'Chi-squared is', chisqb,' for Lamda1 = ', h1loop2
END PROGRAM assignment
编辑:再看一遍我决定我不知道是什么搞砸了。应该从中得到 6618.681 的卡方,但它只是停留在 6921.866 和 6920.031 之间。帮助!