#include "blaswrap.h" #include "f2c.h" /* Subroutine */ int dlatzm_(char *side, integer *m, integer *n, doublereal * v, integer *incv, doublereal *tau, doublereal *c1, doublereal *c2, integer *ldc, doublereal *work) { /* -- LAPACK routine (version 3.1) -- Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. November 2006 Purpose ======= This routine is deprecated and has been replaced by routine DORMRZ. DLATZM applies a Householder matrix generated by DTZRQF to a matrix. Let P = I - tau*u*u', u = ( 1 ), ( v ) where v is an (m-1) vector if SIDE = 'L', or a (n-1) vector if SIDE = 'R'. If SIDE equals 'L', let C = [ C1 ] 1 [ C2 ] m-1 n Then C is overwritten by P*C. If SIDE equals 'R', let C = [ C1, C2 ] m 1 n-1 Then C is overwritten by C*P. Arguments ========= SIDE (input) CHARACTER*1 = 'L': form P * C = 'R': form C * P M (input) INTEGER The number of rows of the matrix C. N (input) INTEGER The number of columns of the matrix C. V (input) DOUBLE PRECISION array, dimension (1 + (M-1)*abs(INCV)) if SIDE = 'L' (1 + (N-1)*abs(INCV)) if SIDE = 'R' The vector v in the representation of P. V is not used if TAU = 0. INCV (input) INTEGER The increment between elements of v. INCV <> 0 TAU (input) DOUBLE PRECISION The value tau in the representation of P. C1 (input/output) DOUBLE PRECISION array, dimension (LDC,N) if SIDE = 'L' (M,1) if SIDE = 'R' On entry, the n-vector C1 if SIDE = 'L', or the m-vector C1 if SIDE = 'R'. On exit, the first row of P*C if SIDE = 'L', or the first column of C*P if SIDE = 'R'. C2 (input/output) DOUBLE PRECISION array, dimension (LDC, N) if SIDE = 'L' (LDC, N-1) if SIDE = 'R' On entry, the (m - 1) x n matrix C2 if SIDE = 'L', or the m x (n - 1) matrix C2 if SIDE = 'R'. On exit, rows 2:m of P*C if SIDE = 'L', or columns 2:m of C*P if SIDE = 'R'. LDC (input) INTEGER The leading dimension of the arrays C1 and C2. LDC >= (1,M). WORK (workspace) DOUBLE PRECISION array, dimension (N) if SIDE = 'L' (M) if SIDE = 'R' ===================================================================== Parameter adjustments */ /* Table of constant values */ static integer c__1 = 1; static doublereal c_b5 = 1.; /* System generated locals */ integer c1_dim1, c1_offset, c2_dim1, c2_offset, i__1; doublereal d__1; /* Local variables */ extern /* Subroutine */ int dger_(integer *, integer *, doublereal *, doublereal *, integer *, doublereal *, integer *, doublereal *, integer *); extern logical lsame_(char *, char *); extern /* Subroutine */ int dgemv_(char *, integer *, integer *, doublereal *, doublereal *, integer *, doublereal *, integer *, doublereal *, doublereal *, integer *), dcopy_(integer *, doublereal *, integer *, doublereal *, integer *), daxpy_(integer *, doublereal *, doublereal *, integer *, doublereal *, integer *) ; --v; c2_dim1 = *ldc; c2_offset = 1 + c2_dim1; c2 -= c2_offset; c1_dim1 = *ldc; c1_offset = 1 + c1_dim1; c1 -= c1_offset; --work; /* Function Body */ if (min(*m,*n) == 0 || *tau == 0.) { return 0; } if (lsame_(side, "L")) { /* w := C1 + v' * C2 */ dcopy_(n, &c1[c1_offset], ldc, &work[1], &c__1); i__1 = *m - 1; dgemv_("Transpose", &i__1, n, &c_b5, &c2[c2_offset], ldc, &v[1], incv, &c_b5, &work[1], &c__1); /* [ C1 ] := [ C1 ] - tau* [ 1 ] * w' [ C2 ] [ C2 ] [ v ] */ d__1 = -(*tau); daxpy_(n, &d__1, &work[1], &c__1, &c1[c1_offset], ldc); i__1 = *m - 1; d__1 = -(*tau); dger_(&i__1, n, &d__1, &v[1], incv, &work[1], &c__1, &c2[c2_offset], ldc); } else if (lsame_(side, "R")) { /* w := C1 + C2 * v */ dcopy_(m, &c1[c1_offset], &c__1, &work[1], &c__1); i__1 = *n - 1; dgemv_("No transpose", m, &i__1, &c_b5, &c2[c2_offset], ldc, &v[1], incv, &c_b5, &work[1], &c__1); /* [ C1, C2 ] := [ C1, C2 ] - tau* w * [ 1 , v'] */ d__1 = -(*tau); daxpy_(m, &d__1, &work[1], &c__1, &c1[c1_offset], &c__1); i__1 = *n - 1; d__1 = -(*tau); dger_(m, &i__1, &d__1, &work[1], &c__1, &v[1], incv, &c2[c2_offset], ldc); } return 0; /* End of DLATZM */ } /* dlatzm_ */