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---
:name: zungql
:md5sum: 953f5696164d9977e6b295e5ab72e66c
:category: :subroutine
:arguments:
- m:
:type: integer
:intent: input
- n:
:type: integer
:intent: input
- k:
:type: integer
:intent: input
- a:
:type: doublecomplex
:intent: input/output
:dims:
- lda
- n
- lda:
:type: integer
:intent: input
- tau:
:type: doublecomplex
:intent: input
:dims:
- k
- work:
:type: doublecomplex
:intent: output
:dims:
- MAX(1,lwork)
- lwork:
:type: integer
:intent: input
:option: true
:default: n
- info:
:type: integer
:intent: output
:substitutions: {}
:fortran_help: " SUBROUTINE ZUNGQL( M, N, K, A, LDA, TAU, WORK, LWORK, INFO )\n\n\
* Purpose\n\
* =======\n\
*\n\
* ZUNGQL generates an M-by-N complex matrix Q with orthonormal columns,\n\
* which is defined as the last N columns of a product of K elementary\n\
* reflectors of order M\n\
*\n\
* Q = H(k) . . . H(2) H(1)\n\
*\n\
* as returned by ZGEQLF.\n\
*\n\n\
* Arguments\n\
* =========\n\
*\n\
* M (input) INTEGER\n\
* The number of rows of the matrix Q. M >= 0.\n\
*\n\
* N (input) INTEGER\n\
* The number of columns of the matrix Q. M >= N >= 0.\n\
*\n\
* K (input) INTEGER\n\
* The number of elementary reflectors whose product defines the\n\
* matrix Q. N >= K >= 0.\n\
*\n\
* A (input/output) COMPLEX*16 array, dimension (LDA,N)\n\
* On entry, the (n-k+i)-th column must contain the vector which\n\
* defines the elementary reflector H(i), for i = 1,2,...,k, as\n\
* returned by ZGEQLF in the last k columns of its array\n\
* argument A.\n\
* On exit, the M-by-N matrix Q.\n\
*\n\
* LDA (input) INTEGER\n\
* The first dimension of the array A. LDA >= max(1,M).\n\
*\n\
* TAU (input) COMPLEX*16 array, dimension (K)\n\
* TAU(i) must contain the scalar factor of the elementary\n\
* reflector H(i), as returned by ZGEQLF.\n\
*\n\
* WORK (workspace/output) COMPLEX*16 array, dimension (MAX(1,LWORK))\n\
* On exit, if INFO = 0, WORK(1) returns the optimal LWORK.\n\
*\n\
* LWORK (input) INTEGER\n\
* The dimension of the array WORK. LWORK >= max(1,N).\n\
* For optimum performance LWORK >= N*NB, where NB is the\n\
* optimal blocksize.\n\
*\n\
* If LWORK = -1, then a workspace query is assumed; the routine\n\
* only calculates the optimal size of the WORK array, returns\n\
* this value as the first entry of the WORK array, and no error\n\
* message related to LWORK is issued by XERBLA.\n\
*\n\
* INFO (output) INTEGER\n\
* = 0: successful exit\n\
* < 0: if INFO = -i, the i-th argument has an illegal value\n\
*\n\n\
* =====================================================================\n\
*\n"
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