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
131
132
133
134
|
---
:name: dsfrk
:md5sum: 0c83f186d2d8e20fbde488e693408f71
:category: :subroutine
:arguments:
- transr:
:type: char
:intent: input
- uplo:
:type: char
:intent: input
- trans:
:type: char
:intent: input
- n:
:type: integer
:intent: input
- k:
:type: integer
:intent: input
- alpha:
:type: doublereal
:intent: input
- a:
:type: doublereal
:intent: input
:dims:
- lda
- "lsame_(&trans,\"N\") ? k : n"
- lda:
:type: integer
:intent: input
- beta:
:type: doublereal
:intent: input
- c:
:type: doublereal
:intent: input/output
:dims:
- nt
:substitutions: {}
:fortran_help: " SUBROUTINE DSFRK( TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C )\n\n\
* Purpose\n\
* =======\n\
*\n\
* Level 3 BLAS like routine for C in RFP Format.\n\
*\n\
* DSFRK performs one of the symmetric rank--k operations\n\
*\n\
* C := alpha*A*A' + beta*C,\n\
*\n\
* or\n\
*\n\
* C := alpha*A'*A + beta*C,\n\
*\n\
* where alpha and beta are real scalars, C is an n--by--n symmetric\n\
* matrix and A is an n--by--k matrix in the first case and a k--by--n\n\
* matrix in the second case.\n\
*\n\n\
* Arguments\n\
* ==========\n\
*\n\
* TRANSR (input) CHARACTER*1\n\
* = 'N': The Normal Form of RFP A is stored;\n\
* = 'T': The Transpose Form of RFP A is stored.\n\
*\n\
* UPLO (input) CHARACTER*1\n\
* On entry, UPLO specifies whether the upper or lower\n\
* triangular part of the array C is to be referenced as\n\
* follows:\n\
*\n\
* UPLO = 'U' or 'u' Only the upper triangular part of C\n\
* is to be referenced.\n\
*\n\
* UPLO = 'L' or 'l' Only the lower triangular part of C\n\
* is to be referenced.\n\
*\n\
* Unchanged on exit.\n\
*\n\
* TRANS (input) CHARACTER*1\n\
* On entry, TRANS specifies the operation to be performed as\n\
* follows:\n\
*\n\
* TRANS = 'N' or 'n' C := alpha*A*A' + beta*C.\n\
*\n\
* TRANS = 'T' or 't' C := alpha*A'*A + beta*C.\n\
*\n\
* Unchanged on exit.\n\
*\n\
* N (input) INTEGER\n\
* On entry, N specifies the order of the matrix C. N must be\n\
* at least zero.\n\
* Unchanged on exit.\n\
*\n\
* K (input) INTEGER\n\
* On entry with TRANS = 'N' or 'n', K specifies the number\n\
* of columns of the matrix A, and on entry with TRANS = 'T'\n\
* or 't', K specifies the number of rows of the matrix A. K\n\
* must be at least zero.\n\
* Unchanged on exit.\n\
*\n\
* ALPHA (input) DOUBLE PRECISION\n\
* On entry, ALPHA specifies the scalar alpha.\n\
* Unchanged on exit.\n\
*\n\
* A (input) DOUBLE PRECISION array, dimension (LDA,ka)\n\
* where KA\n\
* is K when TRANS = 'N' or 'n', and is N otherwise. Before\n\
* entry with TRANS = 'N' or 'n', the leading N--by--K part of\n\
* the array A must contain the matrix A, otherwise the leading\n\
* K--by--N part of the array A must contain the matrix A.\n\
* Unchanged on exit.\n\
*\n\
* LDA (input) INTEGER\n\
* On entry, LDA specifies the first dimension of A as declared\n\
* in the calling (sub) program. When TRANS = 'N' or 'n'\n\
* then LDA must be at least max( 1, n ), otherwise LDA must\n\
* be at least max( 1, k ).\n\
* Unchanged on exit.\n\
*\n\
* BETA (input) DOUBLE PRECISION\n\
* On entry, BETA specifies the scalar beta.\n\
* Unchanged on exit.\n\
*\n\
*\n\
* C (input/output) DOUBLE PRECISION array, dimension (NT)\n\
* NT = N*(N+1)/2. On entry, the symmetric matrix C in RFP\n\
* Format. RFP Format is described by TRANSR, UPLO and N.\n\
*\n\
* Arguments\n\
* ==========\n\
*\n\
* ..\n"
|
