Function

SparseSolve

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

Declaration

void SparseSolve(SparseOpaqueFactorization_Double Factored, DenseVector_Double b, DenseVector_Double x);

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 ‖₂ is returned.

If the factorization is A = QR and the system is overdetermined, the least squares solution arg minₓ ‖ AX - B ‖₂ is returned.

In the case of a factorization of type SparseFactorizationCholeskyAtA, the factorization is in fact of AᵀA, so the solution returned is for the system AᵀAX = 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 single-precision values x in place.

SparseSolve

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