libtrilinos-rol-dev 12.12.1-5 / usr / include / trilinos / ROL_NonlinearLeastSquaresObjective_SimOpt.hpp

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#ifndef ROL_NONLINEARLEASTSQUARESOBJECTIVE_SIMOPT_H
#define ROL_NONLINEARLEASTSQUARESOBJECTIVE_SIMOPT_H

#include "ROL_Objective.hpp"
#include "ROL_EqualityConstraint_SimOpt.hpp"
#include "ROL_Types.hpp"

/** @ingroup func_group
    \class ROL::NonlinearLeastSquaresObjective_SimOpt
    \brief Provides the interface to evaluate nonlinear least squares objective
           functions.

    ROL's nonlinear least squares objective function interface constructs the
    the nonlinear least squares objective function associated with the equality
    constraint \f$c(u,z)=0\f$.  That is, given \f$z\f$,
    \f[
       J(u) = \langle \mathfrak{R} c(u,z),c(u,z) \rangle_{\mathcal{C}^*,\mathcal{C}}
    \f]
    where \f$c:\mathcal{U}\times\mathcal{Z}\to\mathcal{C}\f$ and
    \f$\mathfrak{R}\in\mathcal{L}(\mathcal{C},\mathcal{C}^*)\f$ denotes the
    Riesz map from \f$\mathcal{C}\f$ into \f$\mathcal{C}^*\f$.

    ---
*/


namespace ROL {

template <class Real>
class EqualityConstraint_SimOpt;

template <class Real>
class NonlinearLeastSquaresObjective_SimOpt : public Objective<Real> {
private:
  const Teuchos::RCP<EqualityConstraint_SimOpt<Real> > con_;
  const bool GaussNewtonHessian_;

  Teuchos::RCP<Vector<Real> > c1_, c2_, cdual_, udual_, z_;

public:
  /** \brief Constructor. 

      This function constructs a nonlinear least squares objective function. 
      @param[in]          con   is the nonlinear equation to be solved.
      @param[in]          vec   is a constraint space vector used for cloning.
      @param[in]          GHN   is a flag dictating whether or not to use the Gauss-Newton Hessian.
  */
  NonlinearLeastSquaresObjective_SimOpt(const Teuchos::RCP<EqualityConstraint_SimOpt<Real> > &con,
                                        const Vector<Real> &uvec,
                                        const Vector<Real> &zvec,
                                        const Vector<Real> &cvec,
                                        const bool GNH = false)
    : con_(con), GaussNewtonHessian_(GNH) {
    c1_ = cvec.clone();
    c2_ = cvec.clone();
    z_  = zvec.clone(); z_->set(zvec);
    cdual_ = cvec.dual().clone();
    udual_ = uvec.dual().clone();
  }

  void update( const Vector<Real> &u, bool flag = true, int iter = -1 ) {
    Real tol = std::sqrt(ROL_EPSILON<Real>());
    con_->update_1(u,flag,iter);
    con_->value(*c1_,u,*z_,tol);
    cdual_->set(c1_->dual());
  }

  Real value( const Vector<Real> &x, Real &tol ) {
    Real half(0.5);
    return half*(c1_->dot(*cdual_));
  }

  void gradient( Vector<Real> &g, const Vector<Real> &u, Real &tol ) {
    con_->applyAdjointJacobian_1(g,*cdual_,u,*z_,tol);
  }

  void hessVec( Vector<Real> &hv, const Vector<Real> &v, const Vector<Real> &u, Real &tol ) {
    con_->applyJacobian_1(*c2_,v,u,*z_,tol);
    con_->applyAdjointJacobian_1(hv,c2_->dual(),u,*z_,tol);
    if ( !GaussNewtonHessian_ ) {
      con_->applyAdjointHessian_11(*udual_,*cdual_,v,u,*z_,tol);
      hv.plus(*udual_);
    }
  }

  void precond( Vector<Real> &pv, const Vector<Real> &v, const Vector<Real> &u, Real &tol ) {
    con_->applyInverseAdjointJacobian_1(*cdual_,v,u,*z_,tol);
    con_->applyInverseJacobian_1(pv,cdual_->dual(),u,*z_,tol);
  }

// Definitions for parametrized (stochastic) equality constraints
public:
  void setParameter(const std::vector<Real> &param) {
    Objective<Real>::setParameter(param);
    con_->setParameter(param);
  }
};

} // namespace ROL

#endif