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---
:name: sormr3
:md5sum: 7f39e6e76399d353e330f71975ab640d
: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
- l:
:type: integer
:intent: input
- a:
:type: real
:intent: input
:dims:
- lda
- m
- lda:
:type: integer
:intent: input
- tau:
:type: real
:intent: input
:dims:
- k
- c:
:type: real
:intent: input/output
:dims:
- ldc
- n
- ldc:
:type: integer
:intent: input
- work:
:type: real
:intent: workspace
:dims:
- "lsame_(&side,\"L\") ? n : lsame_(&side,\"R\") ? m : 0"
- info:
:type: integer
:intent: output
:substitutions: {}
:fortran_help: " SUBROUTINE SORMR3( SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, INFO )\n\n\
* Purpose\n\
* =======\n\
*\n\
* SORMR3 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 STZRZF. 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\
* L (input) INTEGER\n\
* The number of columns of the matrix A containing\n\
* the meaningful part of the Householder reflectors.\n\
* If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0.\n\
*\n\
* A (input) REAL array, dimension\n\
* (LDA,M) if SIDE = 'L',\n\
* (LDA,N) if SIDE = 'R'\n\
* The i-th row must contain the vector which defines the\n\
* elementary reflector H(i), for i = 1,2,...,k, as returned by\n\
* STZRZF in the last k rows 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. LDA >= max(1,K).\n\
*\n\
* TAU (input) REAL array, dimension (K)\n\
* TAU(i) must contain the scalar factor of the elementary\n\
* reflector H(i), as returned by STZRZF.\n\
*\n\
* C (input/output) REAL 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) REAL 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\
* Further Details\n\
* ===============\n\
*\n\
* Based on contributions by\n\
* A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA\n\
*\n\
* =====================================================================\n\
*\n\
* .. Local Scalars ..\n LOGICAL LEFT, NOTRAN\n INTEGER I, I1, I2, I3, IC, JA, JC, MI, NI, NQ\n\
* ..\n\
* .. External Functions ..\n LOGICAL LSAME\n EXTERNAL LSAME\n\
* ..\n\
* .. External Subroutines ..\n EXTERNAL SLARZ, XERBLA\n\
* ..\n\
* .. Intrinsic Functions ..\n INTRINSIC MAX\n\
* ..\n"
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