Function

SparseSolve

Solves the equation Factored * x = b for the vector of single-precision values x in place.

Declaration

void SparseSolve(SparseOpaqueFactorization_Float Factored, DenseVector_Float xb);

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).

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.

See Also

Direct Solving Functions

SparseSolve

Solves the equation Factored * x = b for the vector of double-precision values x in place.

SparseSolve

Solves the equation Factored * x = b for the vector of double-precision values x.

SparseSolve

Solves the equation Factored * x = b for the vector of single-precision values x.