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songjunannͳæ (СÓÐÃûÆø)
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ÈçϳÌÐò£¬ÄÜ·ñÔÚÖ÷³ÌÐòÀïÃæÕâôµ÷Ó㺠Call slvasi(a,b,b,idiag, neq, 1,ierr) ÎÒ¾õµÃ£¬ÓÐÁ½¸öbºÜÓÐÎÊÌ⣬µ«ÊDZðÈ˸øÎÒµÄÒ»¸ö´ó³ÌÐò¾ÍÊÇÕâô¸ÉµÄ£¬ÎÒÒ²²»ÖªµÀÈçºÎÔÚ´ó³ÌÐòÀïÃæ¸Ä£¬ÏÈÎÊÎÊÕâÖÖµ÷ÓÃÓÐÎÊÌâÂð£¨ÈçûÓУ¬ÎÒÒ²¾Í·Å¹ýÈ¥ÁË£¬ºÇºÇ£©£¿ ·Ç³£¸Ðл subroutine slvasi (a,b,x,mdiag,neq,key,ierr) cc-begin c----------------------------------------------------------------------- c c call slvasi (a,b,x,mdiag,neq,key,ierr) c c usage : in-core non-symmetric system c ===== c c c purpose c ------- c c to solve a linear system of equations [a] [x] = , where a c is total stiffness matrix c cc-doc c input arguments c --------------- c c a = vector containing total stiffness matrix. c b = load vector of length neq (see note 1). c mdiag = vector of length neq which contains the position c of the diagonal element in the total stiffness c matrix.(outputted by diag) c neq = number of equations. c key = operation control key : c c key = 1 perform lu factorisation of a and solve ax = b. c key = 2 perform lu factorisation of a only. c key = 3 reduction of load vector b and back c substitution to obtain solution x (see note 2). c output arguments c ---------------- c c x = solution vector of length neq (see note 1). c ierr = error flag (see note 5). c c reference c --------- c c LSD / FEM Version 2. c A Library for Software Development in the Finite Element Method c Technical Report 85-3, Department of Computer Science c The Hebrew University of Jerusalem. c c notes c ----- c c 1. the vectors b and x can occupy the same storage space i.e. on c output b will contain the solution. c c 2. if key = 3 , slvasi must have previously been called with c key = 1 or 2. slvasi can be called repeatedly with key = 3, c providing a, mdiag and length are not changed. c c 3. slvasi uses the library-supplied function dot(x,y,n) which c calculates the inner (dot,scalar) product of the vectors x,y c of length n. c c 4. the subroutine slvasi can be used independently of the package c presented here. the sole requirement of slvasi is the vectors c a,b,mdiag and length written in the described format. c c 5. ierr = 0 execution successfull c = n a zero pivot was encountered on row n during lu c factorisation. factorisation aborted. c c----------------------------------------------------------------------- cc-end c implicit real*8 (a-h,o-z) dimension a(*),b(*),x(*),mdiag(*) c c ierr = 0 if (key .eq. 3) go to 50 c c loop on rows of matrix c mdi = 0 do 40 i = 1,neq mdim = mdi mdi = mdiag(i) lengli= (mdi - mdim - 1)/2 lengui= mdi - 1 - mdim - lengli lowli = i - lengli lowui = i - lengui loci0 = mdi - lengui - i loc0i = mdi - i im = i - 1 ifj = min0 (lowui,lowli) ilj = im if (ifj .gt. ilj) go to 30 jj = ifj - 1 mdj = 0 if (ifj .gt. 1) mdj = mdiag(jj) c c loop on columns. c do 20 j = ifj,ilj mdjm = mdj mdj = mdiag(j) lenglj= (mdj - mdjm - 1)/2 lenguj= mdj - 1 - mdjm - lenglj lowlj = j - lenglj lowuj = j - lenguj if (lowli .gt. j) go to 10 c c compute l(i,j) c k = max0 (lowli,lowuj) lockj = mdj - j + k locij = loci0 + j locik = loci0 + k a(locij)= (a(locij) - dot(a(locik),a(lockj),j-k))/a(mdj) c c compute u(j,i) c 10 if (lowui .gt. j) go to 20 k = max0 (lowui,lowlj) locji = loc0i + j locki = loc0i + k locjk = mdj - lenguj - j + k a(locji) = a(locji) - dot(a(locjk),a(locki),j-k) 20 continue c c compute u(i,i) c 30 k = max0 (lowli,lowui) locik = loci0 + k locki = loc0i + k a(mdi) = a(mdi) - dot(a(locik),a(locki),i-k) if (a(mdi) .eq. 0.) go to 100 if (key .eq. 2) go to 40 c c reduce b if key = 1 c locik = loci0 + lowli x(i) = b(i) - dot (a(locik),x(lowli),i-lowli) 40 continue if (key .eq. 2) return go to 70 c c reduce b if key = 3 c 50 mdi = 0 do 60 i = 1,neq mdim = mdi mdi = mdiag(i) lengli= (mdi - mdim - 1)/2 lowli = i - lengli locik = mdim + 1 x(i) = b(i) - dot(a(locik),x(lowli),i-lowli) 60 continue c c back substitution c 70 ii = neq mdim = mdiag(neq) im = neq do 90 ll = 1,neq i = im im = im - 1 mdi = mdim ii = ii - 1 mdim = 0 if (i .ne. 1) mdim = mdiag(ii) lengli = (mdi - mdim - 1)/2 lengui = mdi - 1 - mdim - lengli lowui = i - lengui x(i) = x(i)/a(mdi) if (lowui .gt. im) go to 90 locij = mdi - lengui do 80 j = lowui,im x(j) = x(j) - a(locij)*x(i) locij= locij + 1 80 continue 90 continue return c c zero pivot c 100 ierr = i merf = 100*ierr call erfac (4hslva,merf) end |
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jjdg(½ð±Ò+1): ¸ÐлÄãµÄ½âÊÍ 2011-09-18 12:41:33
songjunann(½ð±Ò+10): xiexie 2011-09-19 09:57:41
jjdg(½ð±Ò+1): ¸ÐлÄãµÄ½âÊÍ 2011-09-18 12:41:33
songjunann(½ð±Ò+10): xiexie 2011-09-19 09:57:41
| Ó¦¸ÃûʲôÎÊÌ⣬Á½¸öbÊÇÒòΪsubroutine slvasi (a,b,x,mdiag,neq,key,ierr) ÀïxÊÇ·µ»ØÖµ£¬Èç¹ûÒª°Ñ·µ»ØµÄx¸³Öµ¸øb¿ÉÒÔÕâôд¡£ |
2Â¥2011-09-18 10:59:29
snoopyzhao
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dubo(½ð±Ò+1): »¶ÓÌÖÂÛ 2011-09-18 14:44:03
songjunann(½ð±Ò+10): ¶÷£¬Ð»Ð»£¬ÎÒÒ²×¢Òâµ½Õâ¸öÁË£¬Ö»ÊDz»È·¶¨ 2011-09-18 14:57:30
dubo(½ð±Ò+1): »¶ÓÌÖÂÛ 2011-09-18 14:44:03
songjunann(½ð±Ò+10): ¶÷£¬Ð»Ð»£¬ÎÒÒ²×¢Òâµ½Õâ¸öÁË£¬Ö»ÊDz»È·¶¨ 2011-09-18 14:57:30
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