1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
|
---
:name: sormr2
:md5sum: 5fd8bdc69537641d2383d642976a1f39
: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: 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 SORMR2( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO )\n\n\
* Purpose\n\
* =======\n\
*\n\
* SORMR2 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 SGERQF. 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) 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\
* SGERQF 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 SGERQF.\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\
* =====================================================================\n\
*\n"
|
