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
|
---
:name: sgbtrs
:md5sum: 67897804c7f0b5c5cc0d53f7458b2608
:category: :subroutine
:arguments:
- trans:
:type: char
:intent: input
- n:
:type: integer
:intent: input
- kl:
:type: integer
:intent: input
- ku:
:type: integer
:intent: input
- nrhs:
:type: integer
:intent: input
- ab:
:type: real
:intent: input
:dims:
- ldab
- n
- ldab:
:type: integer
:intent: input
- ipiv:
:type: integer
:intent: input
:dims:
- n
- b:
:type: real
:intent: input/output
:dims:
- ldb
- nrhs
- ldb:
:type: integer
:intent: input
- info:
:type: integer
:intent: output
:substitutions: {}
:fortran_help: " SUBROUTINE SGBTRS( TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO )\n\n\
* Purpose\n\
* =======\n\
*\n\
* SGBTRS solves a system of linear equations\n\
* A * X = B or A' * X = B\n\
* with a general band matrix A using the LU factorization computed\n\
* by SGBTRF.\n\
*\n\n\
* Arguments\n\
* =========\n\
*\n\
* TRANS (input) CHARACTER*1\n\
* Specifies the form of the system of equations.\n\
* = 'N': A * X = B (No transpose)\n\
* = 'T': A'* X = B (Transpose)\n\
* = 'C': A'* X = B (Conjugate transpose = Transpose)\n\
*\n\
* N (input) INTEGER\n\
* The order of the matrix A. N >= 0.\n\
*\n\
* KL (input) INTEGER\n\
* The number of subdiagonals within the band of A. KL >= 0.\n\
*\n\
* KU (input) INTEGER\n\
* The number of superdiagonals within the band of A. KU >= 0.\n\
*\n\
* NRHS (input) INTEGER\n\
* The number of right hand sides, i.e., the number of columns\n\
* of the matrix B. NRHS >= 0.\n\
*\n\
* AB (input) REAL array, dimension (LDAB,N)\n\
* Details of the LU factorization of the band matrix A, as\n\
* computed by SGBTRF. U is stored as an upper triangular band\n\
* matrix with KL+KU superdiagonals in rows 1 to KL+KU+1, and\n\
* the multipliers used during the factorization are stored in\n\
* rows KL+KU+2 to 2*KL+KU+1.\n\
*\n\
* LDAB (input) INTEGER\n\
* The leading dimension of the array AB. LDAB >= 2*KL+KU+1.\n\
*\n\
* IPIV (input) INTEGER array, dimension (N)\n\
* The pivot indices; for 1 <= i <= N, row i of the matrix was\n\
* interchanged with row IPIV(i).\n\
*\n\
* B (input/output) REAL array, dimension (LDB,NRHS)\n\
* On entry, the right hand side matrix B.\n\
* On exit, the solution matrix X.\n\
*\n\
* LDB (input) INTEGER\n\
* The leading dimension of the array B. LDB >= 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\
*\n\n\
* =====================================================================\n\
*\n"
|