Function

SparseSolve(_:_:_:)

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

Declaration

Parameters

Factored

The factored matrix to solve.

b

The vector b.

x

The vector x.

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

func SparseSolve(SparseOpaqueFactorization_Double, DenseVector_Double)

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

func SparseSolve(SparseOpaqueFactorization_Float, DenseVector_Float)

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

func SparseSolve(SparseOpaqueFactorization_Float, DenseVector_Float, DenseVector_Float)

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