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00001 #include "cs.h" 00002 /* ordering and symbolic analysis for a Cholesky factorization */ 00003 css *cs_schol (int order, const cs *A) 00004 { 00005 int n, *c, *post, *P ; 00006 cs *C ; 00007 css *S ; 00008 if (!CS_CSC (A)) return (NULL) ; /* check inputs */ 00009 n = A->n ; 00010 S = cs_calloc (1, sizeof (css)) ; /* allocate result S */ 00011 if (!S) return (NULL) ; /* out of memory */ 00012 P = cs_amd (order, A) ; /* P = amd(A+A'), or natural */ 00013 S->pinv = cs_pinv (P, n) ; /* find inverse permutation */ 00014 cs_free (P) ; 00015 if (order && !S->pinv) return (cs_sfree (S)) ; 00016 C = cs_symperm (A, S->pinv, 0) ; /* C = spones(triu(A(P,P))) */ 00017 S->parent = cs_etree (C, 0) ; /* find etree of C */ 00018 post = cs_post (S->parent, n) ; /* postorder the etree */ 00019 c = cs_counts (C, S->parent, post, 0) ; /* find column counts of chol(C) */ 00020 cs_free (post) ; 00021 cs_spfree (C) ; 00022 S->cp = cs_malloc (n+1, sizeof (int)) ; /* allocate result S->cp */ 00023 S->unz = S->lnz = cs_cumsum (S->cp, c, n) ; /* find column pointers for L */ 00024 cs_free (c) ; 00025 return ((S->lnz >= 0) ? S : cs_sfree (S)) ; 00026 }