subroutine dppsl(ap,n,b) integer n double precision ap(1),b(1) c c dppsl solves the double precision symmetric positive definite c system a * x = b c using the factors computed by dppco or dppfa. c c on entry c c ap double precision (n*(n+1)/2) c the output from dppco or dppfa. c c n integer c the order of the matrix a . c c b double precision(n) c the right hand side vector. c c on return c c b the solution vector x . c c error condition c c a division by zero will occur if the input factor contains c a zero on the diagonal. technically this indicates c singularity but it is usually caused by improper subroutine c arguments. it will not occur if the subroutines are called c correctly and info .eq. 0 . c c to compute inverse(a) * c where c is a matrix c with p columns c call dppco(ap,n,rcond,z,info) c if (rcond is too small .or. info .ne. 0) go to ... c do 10 j = 1, p c call dppsl(ap,n,c(1,j)) c 10 continue c c linpack. this version dated 08/14/78 . c cleve moler, university of new mexico, argonne national lab. c c subroutines and functions c c blas daxpy,ddot c c internal variables c double precision ddot,t integer k,kb,kk c kk = 0 do 10 k = 1, n t = ddot(k-1,ap(kk+1),1,b(1),1) kk = kk + k b(k) = (b(k) - t)/ap(kk) 10 continue do 20 kb = 1, n k = n + 1 - kb b(k) = b(k)/ap(kk) kk = kk - k t = -b(k) call daxpy(k-1,t,ap(kk+1),1,b(1),1) 20 continue return end