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template<typename T>
void gbtrs(char *trans, integer *n, integer *kl, integer *ku, integer *nrhs, T *ab, integer *ldab, integer *ipiv, T *b, integer *ldb, integer *info)# GBTRS solves a system of linear equationsA * X = B or A**T * X = B with a general band matrix A using the LU factorization computed by GBTRF
Purpose:
GBTRS solves a system of linear equations A * X = B or A**T * X = B with a general band matrix A using the LU factorization computed by GBTRF.
- Parameters:
TRANS – [in]
TRANS is CHARACTER*1
Specifies the form of the system of equations.
= ‘N’: A * X = B (No transpose)
= ‘T’: A**T* X = B (Transpose)
= ‘C’: A**T* X = B (Conjugate transpose = Transpose)N – [in]
N is INTEGER
The order of the matrix A. N >= 0.
KL – [in]
KL is INTEGER
The number of subdiagonals within the band of A. KL >= 0.
KU – [in]
KU is INTEGER
The number of superdiagonals within the band of A. KU >= 0.
NRHS – [in]
NRHS is INTEGER
The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
AB – [in]
AB is REAL array, dimension (LDAB,N)
Details of the LU factorization of the band matrix A, as computed by SGBTRF. U is stored as an upper triangular band matrix with KL+KU superdiagonals in rows 1 to KL+KU+1, and the multipliers used during the factorization are stored in rows KL+KU+2 to 2*KL+KU+1.
LDAB – [in]
LDAB is INTEGER
The leading dimension of the array AB. LDAB >= 2*KL+KU+1.
IPIV – [in]
IPIV is INTEGER
array, dimension (N) The pivot indices; for 1 <= i <= N, row i of the matrix was interchanged with row IPIV(i).
B – [inout]
B is REAL array, dimension (LDB,NRHS)
On entry, the right hand side matrix B. On exit, the solution matrix X.
LDB – [in]
LDB is INTEGER
The leading dimension of the array B. LDB >= fla_max(1,N).
INFO – [out]
INFO is INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value