ROL
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#include <example_01a.hpp>
Public Member Functions | |
template<class ScalarT > | |
ScalarT | value (const Vector< ScalarT > &x, Real &tol) |
A Sacado-accessible version of the Zakharov function to differentiate
\[f(\mathbf{x}) = \mathbf{x}^\top\mathbf{x} + \frac{1}{4}(\mathbf{k}^\top \mathbf{x})^2 + \frac{1}{16}(\mathbf{k}^\top \mathbf{x})^4 \] Where \(\mathbf{k}=(1,\cdots,n)\). More... | |
Real | value (const Vector< Real > &x, Real &tol) |
Compute value. More... | |
Real | value (const Vector< Real > &x, Real &tol) |
Compute value. More... | |
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virtual | ~Objective () |
virtual void | update (const Vector< Real > &x, bool flag=true, int iter=-1) |
Update objective function. More... | |
virtual void | gradient (Vector< Real > &g, const Vector< Real > &x, Real &tol) |
Compute gradient. More... | |
virtual Real | dirDeriv (const Vector< Real > &x, const Vector< Real > &d, Real &tol) |
Compute directional derivative. More... | |
virtual void | hessVec (Vector< Real > &hv, const Vector< Real > &v, const Vector< Real > &x, Real &tol) |
Apply Hessian approximation to vector. More... | |
virtual void | invHessVec (Vector< Real > &hv, const Vector< Real > &v, const Vector< Real > &x, Real &tol) |
Apply inverse Hessian approximation to vector. More... | |
virtual void | precond (Vector< Real > &Pv, const Vector< Real > &v, const Vector< Real > &x, Real &tol) |
Apply preconditioner to vector. More... | |
virtual std::vector < std::vector< Real > > | checkGradient (const Vector< Real > &x, const Vector< Real > &d, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1) |
Finite-difference gradient check. More... | |
virtual std::vector < std::vector< Real > > | checkGradient (const Vector< Real > &x, const Vector< Real > &g, const Vector< Real > &d, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1) |
Finite-difference gradient check. More... | |
virtual std::vector < std::vector< Real > > | checkGradient (const Vector< Real > &x, const Vector< Real > &d, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1) |
Finite-difference gradient check with specified step sizes. More... | |
virtual std::vector < std::vector< Real > > | checkGradient (const Vector< Real > &x, const Vector< Real > &g, const Vector< Real > &d, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1) |
Finite-difference gradient check with specified step sizes. More... | |
virtual std::vector < std::vector< Real > > | checkHessVec (const Vector< Real > &x, const Vector< Real > &v, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1) |
Finite-difference Hessian-applied-to-vector check. More... | |
virtual std::vector < std::vector< Real > > | checkHessVec (const Vector< Real > &x, const Vector< Real > &hv, const Vector< Real > &v, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1) |
Finite-difference Hessian-applied-to-vector check. More... | |
virtual std::vector < std::vector< Real > > | checkHessVec (const Vector< Real > &x, const Vector< Real > &v, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1) |
Finite-difference Hessian-applied-to-vector check with specified step sizes. More... | |
virtual std::vector < std::vector< Real > > | checkHessVec (const Vector< Real > &x, const Vector< Real > &hv, const Vector< Real > &v, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1) |
Finite-difference Hessian-applied-to-vector check with specified step sizes. More... | |
virtual std::vector< Real > | checkHessSym (const Vector< Real > &x, const Vector< Real > &v, const Vector< Real > &w, const bool printToStream=true, std::ostream &outStream=std::cout) |
Hessian symmetry check. More... | |
virtual std::vector< Real > | checkHessSym (const Vector< Real > &x, const Vector< Real > &hv, const Vector< Real > &v, const Vector< Real > &w, const bool printToStream=true, std::ostream &outStream=std::cout) |
Hessian symmetry check. More... | |
Definition at line 61 of file example_01a.hpp.
ScalarT Zakharov< Real >::value | ( | const Vector< ScalarT > & | x, |
Real & | tol | ||
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A Sacado-accessible version of the Zakharov function to differentiate
\[f(\mathbf{x}) = \mathbf{x}^\top\mathbf{x} + \frac{1}{4}(\mathbf{k}^\top \mathbf{x})^2 + \frac{1}{16}(\mathbf{k}^\top \mathbf{x})^4 \]
Where \(\mathbf{k}=(1,\cdots,n)\).
[in] | x | is the optimization vector |
Returns the value of the objective function.
Definition at line 84 of file example_01a.hpp.
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inlinevirtual |
Compute value.
This function returns the objective function value.
[in] | x | is the current iterate. |
[in] | tol | is a tolerance for inexact objective function computation. |
Implements ROL::Objective< Real >.
Definition at line 13 of file example_01c.hpp.
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inlinevirtual |
Compute value.
This function returns the objective function value.
[in] | x | is the current iterate. |
[in] | tol | is a tolerance for inexact objective function computation. |
Implements ROL::Objective< Real >.
Definition at line 33 of file example_01d.hpp.
References access_elements().