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
|
---
:name: cpotrf
:md5sum: e578ccb7a6444634bdf1983eb5cf16b9
:category: :subroutine
:arguments:
- uplo:
:type: char
:intent: input
- n:
:type: integer
:intent: input
- a:
:type: complex
:intent: input/output
:dims:
- lda
- n
- lda:
:type: integer
:intent: input
- info:
:type: integer
:intent: output
:substitutions: {}
:fortran_help: " SUBROUTINE CPOTRF( UPLO, N, A, LDA, INFO )\n\n\
* Purpose\n\
* =======\n\
*\n\
* CPOTRF computes the Cholesky factorization of a complex Hermitian\n\
* positive definite matrix A.\n\
*\n\
* The factorization has the form\n\
* A = U**H * U, if UPLO = 'U', or\n\
* A = L * L**H, if UPLO = 'L',\n\
* where U is an upper triangular matrix and L is lower triangular.\n\
*\n\
* This is the block version of the algorithm, calling Level 3 BLAS.\n\
*\n\n\
* Arguments\n\
* =========\n\
*\n\
* UPLO (input) CHARACTER*1\n\
* = 'U': Upper triangle of A is stored;\n\
* = 'L': Lower triangle of A is stored.\n\
*\n\
* N (input) INTEGER\n\
* The order of the matrix A. N >= 0.\n\
*\n\
* A (input/output) COMPLEX array, dimension (LDA,N)\n\
* On entry, the Hermitian matrix A. If UPLO = 'U', the leading\n\
* N-by-N upper triangular part of A contains the upper\n\
* triangular part of the matrix A, and the strictly lower\n\
* triangular part of A is not referenced. If UPLO = 'L', the\n\
* leading N-by-N lower triangular part of A contains the lower\n\
* triangular part of the matrix A, and the strictly upper\n\
* triangular part of A is not referenced.\n\
*\n\
* On exit, if INFO = 0, the factor U or L from the Cholesky\n\
* factorization A = U**H*U or A = L*L**H.\n\
*\n\
* LDA (input) INTEGER\n\
* The leading dimension of the array A. LDA >= max(1,N).\n\
*\n\
* INFO (output) INTEGER\n\
* = 0: successful exit\n\
* < 0: if INFO = -i, the i-th argument had an illegal value\n\
* > 0: if INFO = i, the leading minor of order i is not\n\
* positive definite, and the factorization could not be\n\
* completed.\n\
*\n\n\
* =====================================================================\n\
*\n"
|
