A high-performance general-purpose compute library

Solve a system of equations. More...

## Functions

AFAPI array solveLU (const array &a, const array &piv, const array &b, const matProp options=AF_MAT_NONE)
C++ Interface to solve a system of equations. More...

AFAPI af_err af_solve_lu (af_array *x, const af_array a, const af_array piv, const af_array b, const af_mat_prop options)
C Interface to solve a system of equations. More...

## Detailed Description

Solve a system of equations.

This function takes a co-efficient matrix $$A$$ and an output matrix $$B$$ as inputs to solve the following equation for $$X$$, $$A * X = B$$.

This operation can be done in ArrayFire using the following code snippet.

af::array A_lu, pivot;
af::lu(A_lu, pivot, A);
af::array X1 = af::solveLU(A_lu, pivot, B0);
A multi dimensional data container.
Definition: array.h:37
AFAPI void lu(array &out, array &pivot, const array &in, const bool is_lapack_piv=true)
C++ Interface to perform LU decomposition in packed format.
AFAPI array solveLU(const array &a, const array &piv, const array &b, const matProp options=AF_MAT_NONE)
C++ Interface to solve a system of equations.

This function, along with af::lu, split up the task af::solve performs for square matrices.

This function is beneficial over af::solve only in long running application where the coefficient matrix $$A$$ stays the same, but the observed variables keep changing.

## ◆ af_solve_lu()

 AFAPI af_err af_solve_lu ( af_array * x, const af_array a, const af_array piv, const af_array b, const af_mat_prop options )

C Interface to solve a system of equations.

The options parameter currently must be AF_MAT_NONE.

Parameters
 [out] x matrix of unknown variables [in] a packed LU decomposition of the coefficient matrix [in] piv pivot array from the packed LU decomposition of the coefficient matrix [in] b measured values [in] options determines various properties of matrix a
Returns
AF_SUCCESS, if function returns successfully, else an af_err code is given

## ◆ solveLU()

 AFAPI array solveLU ( const array & a, const array & piv, const array & b, const matProp options = AF_MAT_NONE )

C++ Interface to solve a system of equations.

The options parameter currently must be AF_MAT_NONE.

This function is not supported in GFOR.

Parameters
 [in] a packed LU decomposition of the coefficient matrix [in] piv pivot array from the packed LU decomposition of the coefficient matrix [in] b measured values [in] options determines various properties of matrix a
Returns
x, the matrix of unknown variables