Function cusolverDnSgetrs 

pub unsafe extern "C" fn cusolverDnSgetrs(
    handle: cusolverDnHandle_t,
    trans: cublasOperation_t,
    n: c_int,
    nrhs: c_int,
    A: *const f32,
    lda: c_int,
    devIpiv: *const c_int,
    B: *mut f32,
    ldb: c_int,
    devInfo: *mut c_int,
) -> cusolverStatus_t

Please visit cuSOLVER Library Samples - getrf for a code example.

This function solves a linear system of multiple right-hand sides: $$ op(A)\*X = B $$

where A is an $n \times n$ matrix, and was LU-factored by getrf, that is, lower triangular part of A is L, and upper triangular part (including diagonal elements) of A is U. B is an $n\times {nrhs}$ right-hand side matrix.

The input parameter trans is defined by: $$ \operatorname{op}(A) = \begin{cases} A & \text{if } trans = \text{CUBLAS_OP_N} \ A^T & \text{if } trans = \text{CUBLAS_OP_T} \ A^H & \text{if } trans = \text{CUBLAS_OP_C} \end{cases} $$

The input parameter devIpiv is an output of getrf. It contains pivot indices, which are used to permutate right-hand sides.

If output parameter devInfo = -i (less than zero), the i-th parameter is wrong (not counting handle).

The user can combine getrf and getrs to complete a linear solver.