Apply¶

Apply a member of the Jordan algebra which generates the Second-Order Cone to another member of the Jordan algebra using the symmetric product,

\[\begin{split}x \circ y = \begin{bmatrix} x^T y \\ \chi_0 y_1 + \eta_0 x_1 \end{bmatrix},\end{split}\]

where \(x=(\chi_0;x_1)\) and \((\eta_0,y_1)\).

C++ API¶

Note

The cutoff parameter only effects parallel performance and is used to decide whether a subcone is sufficiently large to be treated separately.

void soc::Apply(const Matrix<Real> &x, const Matrix<Real> &y, Matrix<Real> &z, const Matrix<Int> &orders, const Matrix<Int> &firstInds)¶

void soc::Apply(const ElementalMatrix<Real> &x, const ElementalMatrix<Real> &y, ElementalMatrix<Real> &z, const ElementalMatrix<Int> &orders, const ElementalMatrix<Int> &firstInds, Int cutoff = 1000)¶

void soc::Apply(const DistMultiVec<Real> &x, const DistMultiVec<Real> &y, DistMultiVec<Real> &z, const DistMultiVec<Int> &orders, const DistMultiVec<Int> &firstInds, Int cutoff = 1000)¶

void soc::Apply(const Matrix<Real> &x, Matrix<Real> &y, const Matrix<Int> &orders, const Matrix<Int> &firstInds)¶

void soc::Apply(const ElementalMatrix<Real> &x, ElementalMatrix<Real> &y, const ElementalMatrix<Int> &orders, const ElementalMatrix<Int> &firstInds, Int cutoff = 1000)¶

void soc::Apply(const DistMultiVec<Real> &x, DistMultiVec<Real> &y, const DistMultiVec<Int> &orders, const DistMultiVec<Int> &firstInds, Int cutoff = 1000)¶

TODO

TODO