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---
:name: dorm2r
:md5sum: fab971af37bdf9192f838b2bc546173d
:category: :subroutine
:arguments:
- side:
:type: char
:intent: input
- trans:
:type: char
:intent: input
- m:
:type: integer
:intent: input
- n:
:type: integer
:intent: input
- k:
:type: integer
:intent: input
- a:
:type: doublereal
:intent: input
:dims:
- lda
- k
- lda:
:type: integer
:intent: input
- tau:
:type: doublereal
:intent: input
:dims:
- k
- c:
:type: doublereal
:intent: input/output
:dims:
- ldc
- n
- ldc:
:type: integer
:intent: input
- work:
:type: doublereal
:intent: workspace
:dims:
- "lsame_(&side,\"L\") ? n : lsame_(&side,\"R\") ? m : 0"
- info:
:type: integer
:intent: output
:substitutions: {}
:fortran_help: " SUBROUTINE DORM2R( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO )\n\n\
* Purpose\n\
* =======\n\
*\n\
* DORM2R overwrites the general real m by n matrix C with\n\
*\n\
* Q * C if SIDE = 'L' and TRANS = 'N', or\n\
*\n\
* Q'* C if SIDE = 'L' and TRANS = 'T', or\n\
*\n\
* C * Q if SIDE = 'R' and TRANS = 'N', or\n\
*\n\
* C * Q' if SIDE = 'R' and TRANS = 'T',\n\
*\n\
* where Q is a real orthogonal matrix defined as the product of k\n\
* elementary reflectors\n\
*\n\
* Q = H(1) H(2) . . . H(k)\n\
*\n\
* as returned by DGEQRF. Q is of order m if SIDE = 'L' and of order n\n\
* if SIDE = 'R'.\n\
*\n\n\
* Arguments\n\
* =========\n\
*\n\
* SIDE (input) CHARACTER*1\n\
* = 'L': apply Q or Q' from the Left\n\
* = 'R': apply Q or Q' from the Right\n\
*\n\
* TRANS (input) CHARACTER*1\n\
* = 'N': apply Q (No transpose)\n\
* = 'T': apply Q' (Transpose)\n\
*\n\
* M (input) INTEGER\n\
* The number of rows of the matrix C. M >= 0.\n\
*\n\
* N (input) INTEGER\n\
* The number of columns of the matrix C. N >= 0.\n\
*\n\
* K (input) INTEGER\n\
* The number of elementary reflectors whose product defines\n\
* the matrix Q.\n\
* If SIDE = 'L', M >= K >= 0;\n\
* if SIDE = 'R', N >= K >= 0.\n\
*\n\
* A (input) DOUBLE PRECISION array, dimension (LDA,K)\n\
* The i-th column must contain the vector which defines the\n\
* elementary reflector H(i), for i = 1,2,...,k, as returned by\n\
* DGEQRF in the first k columns of its array argument A.\n\
* A is modified by the routine but restored on exit.\n\
*\n\
* LDA (input) INTEGER\n\
* The leading dimension of the array A.\n\
* If SIDE = 'L', LDA >= max(1,M);\n\
* if SIDE = 'R', LDA >= max(1,N).\n\
*\n\
* TAU (input) DOUBLE PRECISION array, dimension (K)\n\
* TAU(i) must contain the scalar factor of the elementary\n\
* reflector H(i), as returned by DGEQRF.\n\
*\n\
* C (input/output) DOUBLE PRECISION array, dimension (LDC,N)\n\
* On entry, the m by n matrix C.\n\
* On exit, C is overwritten by Q*C or Q'*C or C*Q' or C*Q.\n\
*\n\
* LDC (input) INTEGER\n\
* The leading dimension of the array C. LDC >= max(1,M).\n\
*\n\
* WORK (workspace) DOUBLE PRECISION array, dimension\n\
* (N) if SIDE = 'L',\n\
* (M) if SIDE = 'R'\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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