Function

# SparseSolve

Solves the equation Factored * x = b for the vector of double-precision values x in place, and without any internal memory allocations.

## Parameters

`Factored`

The factored matrix to solve.

`xb`

On input, the vector b. On return it is overwritten with the vector x. If A has dimension m x n, then this parameter must have length k, where k = max(m,n).

`workspace`

## Discussion

If the factorization is A = QR and the system is underdetermined, the solution of minimum norm x is returned.

If the factorization is A = QR and the system is overdetermined, the least squares solution arg min AX - B is returned.

In the case of a factorization of type `SparseFactorizationCholeskyAtA`, the factorization is in fact of AA, so the solution returned is for the system AAX = B.

### Direct Solving Functions with User-Defined Workspace

`SparseSolve`

Solves the equation Factored * x = b for the vector of single-precision values x in place, and without any internal memory allocations.

`SparseSolve`

Solves the equation Factored * x = b for the vector of double-precision values x without any internal memory allocations.

`SparseSolve`

Solves the equation Factored * x = b for the vector of single-precision values x without any internal memory allocations.