dot interior_product IPInnerProductFunctional

interior_product() template<class IMVecType > virtual void pism::inverse::IPInnerProductFunctional< IMVecType >::interior_product ( IMVecType &  x, IMVecType &  y  ) inlinevirtual Computes the interior product of a vector with the IPInnerProductFunctional's underlying bilinear form. If \(Q(x, y)\) is a bilinear form, and \(a\) is a vector, then the interior product of \(a\) with \(Q\) is the functional \[ I(z) = Q(a, z). \] Such a functional is always linear and hence can be represented by taking the standard dot product with some vector \(y\): \[ I(z) = y^T z. \] This method returns the vector \(y\). Definition at line 115 of file IPFunctional.hh. References pism::inverse::IPFunctional< IMVecType >::gradientAt().