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---
:name: dopgtr
:md5sum: 3be95896182d344b40b94e108282b151
:category: :subroutine
:arguments:
- uplo:
:type: char
:intent: input
- n:
:type: integer
:intent: input
- ap:
:type: doublereal
:intent: input
:dims:
- ldap
- tau:
:type: doublereal
:intent: input
:dims:
- ldtau
- q:
:type: doublereal
:intent: output
:dims:
- ldq
- n
- ldq:
:type: integer
:intent: input
- work:
:type: doublereal
:intent: workspace
:dims:
- n-1
- info:
:type: integer
:intent: output
:substitutions:
ldq: MAX(1,n)
n: ldtau+1
:fortran_help: " SUBROUTINE DOPGTR( UPLO, N, AP, TAU, Q, LDQ, WORK, INFO )\n\n\
* Purpose\n\
* =======\n\
*\n\
* DOPGTR generates a real orthogonal matrix Q which is defined as the\n\
* product of n-1 elementary reflectors H(i) of order n, as returned by\n\
* DSPTRD using packed storage:\n\
*\n\
* if UPLO = 'U', Q = H(n-1) . . . H(2) H(1),\n\
*\n\
* if UPLO = 'L', Q = H(1) H(2) . . . H(n-1).\n\
*\n\n\
* Arguments\n\
* =========\n\
*\n\
* UPLO (input) CHARACTER*1\n\
* = 'U': Upper triangular packed storage used in previous\n\
* call to DSPTRD;\n\
* = 'L': Lower triangular packed storage used in previous\n\
* call to DSPTRD.\n\
*\n\
* N (input) INTEGER\n\
* The order of the matrix Q. N >= 0.\n\
*\n\
* AP (input) DOUBLE PRECISION array, dimension (N*(N+1)/2)\n\
* The vectors which define the elementary reflectors, as\n\
* returned by DSPTRD.\n\
*\n\
* TAU (input) DOUBLE PRECISION array, dimension (N-1)\n\
* TAU(i) must contain the scalar factor of the elementary\n\
* reflector H(i), as returned by DSPTRD.\n\
*\n\
* Q (output) DOUBLE PRECISION array, dimension (LDQ,N)\n\
* The N-by-N orthogonal matrix Q.\n\
*\n\
* LDQ (input) INTEGER\n\
* The leading dimension of the array Q. LDQ >= max(1,N).\n\
*\n\
* WORK (workspace) DOUBLE PRECISION array, dimension (N-1)\n\
*\n\
* INFO (output) INTEGER\n\
* = 0: successful exit\n\
* < 0: if INFO = -i, the i-th argument had an illegal value\n\
*\n\n\
* =====================================================================\n\
*\n"
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