#include "f2c.h" #include "blaswrap.h" /* Table of constant values */ static complex c_b1 = {1.f,0.f}; /* Subroutine */ int cgeqrs_(integer *m, integer *n, integer *nrhs, complex * a, integer *lda, complex *tau, complex *b, integer *ldb, complex * work, integer *lwork, integer *info) { /* System generated locals */ integer a_dim1, a_offset, b_dim1, b_offset, i__1; /* Local variables */ extern /* Subroutine */ int ctrsm_(char *, char *, char *, char *, integer *, integer *, complex *, complex *, integer *, complex *, integer *), xerbla_(char *, integer *), cunmqr_(char *, char *, integer *, integer *, integer *, complex *, integer *, complex *, complex *, integer *, complex *, integer *, integer *); /* -- LAPACK routine (version 3.1) -- */ /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ /* November 2006 */ /* .. Scalar Arguments .. */ /* .. */ /* .. Array Arguments .. */ /* .. */ /* Purpose */ /* ======= */ /* Solve the least squares problem */ /* min || A*X - B || */ /* using the QR factorization */ /* A = Q*R */ /* computed by CGEQRF. */ /* Arguments */ /* ========= */ /* M (input) INTEGER */ /* The number of rows of the matrix A. M >= 0. */ /* N (input) INTEGER */ /* The number of columns of the matrix A. M >= N >= 0. */ /* NRHS (input) INTEGER */ /* The number of columns of B. NRHS >= 0. */ /* A (input) COMPLEX array, dimension (LDA,N) */ /* Details of the QR factorization of the original matrix A as */ /* returned by CGEQRF. */ /* LDA (input) INTEGER */ /* The leading dimension of the array A. LDA >= M. */ /* TAU (input) COMPLEX array, dimension (N) */ /* Details of the orthogonal matrix Q. */ /* B (input/output) COMPLEX array, dimension (LDB,NRHS) */ /* On entry, the m-by-nrhs right hand side matrix B. */ /* On exit, the n-by-nrhs solution matrix X. */ /* LDB (input) INTEGER */ /* The leading dimension of the array B. LDB >= M. */ /* WORK (workspace) COMPLEX array, dimension (LWORK) */ /* LWORK (input) INTEGER */ /* The length of the array WORK. LWORK must be at least NRHS, */ /* and should be at least NRHS*NB, where NB is the block size */ /* for this environment. */ /* INFO (output) INTEGER */ /* = 0: successful exit */ /* < 0: if INFO = -i, the i-th argument had an illegal value */ /* ===================================================================== */ /* .. Parameters .. */ /* .. */ /* .. External Subroutines .. */ /* .. */ /* .. Intrinsic Functions .. */ /* .. */ /* .. Executable Statements .. */ /* Test the input arguments. */ /* Parameter adjustments */ a_dim1 = *lda; a_offset = 1 + a_dim1; a -= a_offset; --tau; b_dim1 = *ldb; b_offset = 1 + b_dim1; b -= b_offset; --work; /* Function Body */ *info = 0; if (*m < 0) { *info = -1; } else if (*n < 0 || *n > *m) { *info = -2; } else if (*nrhs < 0) { *info = -3; } else if (*lda < max(1,*m)) { *info = -5; } else if (*ldb < max(1,*m)) { *info = -8; } else if (*lwork < 1 || *lwork < *nrhs && *m > 0 && *n > 0) { *info = -10; } if (*info != 0) { i__1 = -(*info); xerbla_("CGEQRS", &i__1); return 0; } /* Quick return if possible */ if (*n == 0 || *nrhs == 0 || *m == 0) { return 0; } /* B := Q' * B */ cunmqr_("Left", "Conjugate transpose", m, nrhs, n, &a[a_offset], lda, & tau[1], &b[b_offset], ldb, &work[1], lwork, info); /* Solve R*X = B(1:n,:) */ ctrsm_("Left", "Upper", "No transpose", "Non-unit", n, nrhs, &c_b1, &a[ a_offset], lda, &b[b_offset], ldb); return 0; /* End of CGEQRS */ } /* cgeqrs_ */