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template<typename T>
void getrs(char *trans, integer *n, integer *nrhs, T *a, integer *lda, integer *ipiv, T *b, integer *ldb, integer *info)# GETRS solves a system of linear equations.
Purpose:
GETRS solves a system of linear equations A * X = B or A**T * X = B with a general N-by-N matrix A using the LU factorization computed by GETRF.
- 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.
NRHS – [in]
NRHS is INTEGER
The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
A – [in]
A is REAL array, dimension (LDA,N)
The factors L and U from the factorization A = P*L*U as computed by GETRF.
LDA – [in]
LDA is INTEGER
The leading dimension of the array A. LDA >= fla_max(1,N).
IPIV – [in]
IPIV is INTEGER array, dimension (N)
The pivot indices from GETRF; 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