Provides the interface for and implements a bundle. The semidefinite quadratic subproblem is solved using TT algorithm by Antonio Frangioni (1996). More...

#include <ROL_Bundle_U_TT.hpp>

Inheritance diagram for ROL::Bundle_U_TT< Real >:

Public Member Functions
	Bundle_U_TT (const unsigned maxSize=10, const Real coeff=0.0, const Real omega=2.0, const unsigned remSize=2)

unsigned	solveDual (const Real t, const unsigned maxit=1000, const Real tol=1.e-8)

Public Member Functions inherited from ROL::Bundle_U< Real >
virtual	~Bundle_U (void)

	Bundle_U (const unsigned maxSize=10, const Real coeff=0.0, const Real omega=2.0, const unsigned remSize=2)

virtual void	initialize (const Vector< Real > &g)

const Real	linearizationError (const unsigned i) const

const Real	distanceMeasure (const unsigned i) const

const Vector< Real > &	subgradient (const unsigned i) const

const Real	getDualVariable (const unsigned i) const

void	setDualVariable (const unsigned i, const Real val)

void	resetDualVariables (void)

const Real	computeAlpha (const Real dm, const Real le) const

const Real	alpha (const unsigned i) const

unsigned	size (void) const

void	aggregate (Vector< Real > &aggSubGrad, Real &aggLinErr, Real &aggDistMeas) const

void	reset (const Vector< Real > &g, const Real le, const Real dm)

void	update (const bool flag, const Real linErr, const Real distMeas, const Vector< Real > &g, const Vector< Real > &s)

Private Member Functions
Real	sgn (const Real x) const

void	swapRowsL (unsigned ind1, unsigned ind2, bool trans=false)

void	updateK (void)

void	addSubgradToBase (unsigned ind, Real delta)

void	deleteSubgradFromBase (unsigned ind, Real tol)

void	solveSystem (int size, char tran, LA::Matrix< Real > &L, LA::Vector< Real > &v)

bool	isFeasible (LA::Vector< Real > &v, const Real &tol)

unsigned	solveDual_TT (const Real t, const unsigned maxit=1000, const Real tol=1.e-8)

unsigned	solveDual_arbitrary (const Real t, const unsigned maxit=1000, const Real tol=1.e-8)

Private Attributes
LAPACK< int, Real >	lapack_

int	QPStatus_

int	maxind_

int	entering_

int	LiMax_

int	LiMin_

unsigned	maxSize_

unsigned	dependent_

unsigned	currSize_

bool	isInitialized_

bool	optimal_

Real	rho_

Real	lhNorm

Real	ljNorm

Real	lhz1_

Real	lhz2_

Real	ljz1_

Real	kappa_

Real	objval_

Real	minobjval_

Real	deltaLh_

Real	deltaLj_

std::vector< int >	taboo_

std::vector< int >	base_

LA::Matrix< Real >	L_

LA::Matrix< Real >	Id_

LA::Vector< Real >	tempv_

LA::Vector< Real >	tempw1_

LA::Vector< Real >	tempw2_

LA::Vector< Real >	lh_

LA::Vector< Real >	lj_

LA::Vector< Real >	z1_

LA::Vector< Real >	z2_

Additional Inherited Members
Protected Member Functions inherited from ROL::Bundle_U< Real >
const Real	GiGj (const unsigned i, const unsigned j) const

const Real	dotGi (const unsigned i, const Vector< Real > &x) const

void	addGi (const unsigned i, const Real a, Vector< Real > &x) const

Real	evaluateObjective (std::vector< Real > &g, const std::vector< Real > &x, const Real t) const

unsigned	solveDual_dim1 (const Real t, const unsigned maxit=1000, const Real tol=1.e-8)

unsigned	solveDual_dim2 (const Real t, const unsigned maxit=1000, const Real tol=1.e-8)

Detailed Description

template<typename Real>
class ROL::Bundle_U_TT< Real >

Provides the interface for and implements a bundle. The semidefinite quadratic subproblem is solved using TT algorithm by Antonio Frangioni (1996).

Definition at line 27 of file ROL_Bundle_U_TT.hpp.

Constructor & Destructor Documentation

template<typename Real >

ROL::Bundle_U_TT< Real >::Bundle_U_TT	(	const unsigned	maxSize = `10`,
		const Real	coeff = `0.0`,
		const Real	omega = `2.0`,
		const unsigned	remSize = `2`
	)

Definition at line 27 of file ROL_Bundle_U_TT_Def.hpp.

References ROL::Bundle_U_TT< Real >::Id_, ROL::Bundle_U_TT< Real >::maxind_, and ROL::Bundle_U_TT< Real >::maxSize_.

Member Function Documentation

template<typename Real >

unsigned ROL::Bundle_U_TT< Real >::solveDual	(	const Real	t,
		const unsigned	maxit = `1000`,
		const Real	tol = `1.e-8`
	)

virtual

Implements ROL::Bundle_U< Real >.

Definition at line 48 of file ROL_Bundle_U_TT_Def.hpp.

References ROL::Bundle_U< Real >::solveDual_dim1(), and ROL::Bundle_U< Real >::solveDual_dim2().

template<typename Real >

Real ROL::Bundle_U_TT< Real >::sgn ( const Real x ) const

private

Definition at line 41 of file ROL_Bundle_U_TT_Def.hpp.

References zero.

template<typename Real >

void ROL::Bundle_U_TT< Real >::swapRowsL	(	unsigned	ind1,
		unsigned	ind2,
		bool	trans = `false`
	)

private

Definition at line 63 of file ROL_Bundle_U_TT_Def.hpp.

References zero.

template<typename Real >

void ROL::Bundle_U_TT< Real >::updateK ( void )

private

Definition at line 88 of file ROL_Bundle_U_TT_Def.hpp.

template<typename Real >

void ROL::Bundle_U_TT< Real >::addSubgradToBase	(	unsigned	ind,
		Real	delta
	)

private

Definition at line 110 of file ROL_Bundle_U_TT_Def.hpp.

References ROL::Bundle_U< Real >::alpha().

template<typename Real >

void ROL::Bundle_U_TT< Real >::deleteSubgradFromBase	(	unsigned	ind,
		Real	tol
	)

private

Definition at line 144 of file ROL_Bundle_U_TT_Def.hpp.

References zero.

template<typename Real >

void ROL::Bundle_U_TT< Real >::solveSystem	(	int	size,
		char	tran,
		LA::Matrix< Real > &	L,
		LA::Vector< Real > &	v
	)

private

Definition at line 371 of file ROL_Bundle_U_TT_Def.hpp.

template<typename Real >

bool ROL::Bundle_U_TT< Real >::isFeasible	(	LA::Vector< Real > &	v,
		const Real &	tol
	)

private

Definition at line 386 of file ROL_Bundle_U_TT_Def.hpp.

template<typename Real >

unsigned ROL::Bundle_U_TT< Real >::solveDual_TT	(	const Real	t,
		const unsigned	maxit = `1000`,
		const Real	tol = `1.e-8`
	)

private

Definition at line 397 of file ROL_Bundle_U_TT_Def.hpp.

References ROL::Bundle_U< Real >::alpha(), ROL::Bundle_U< Real >::getDualVariable(), ROL::Bundle_U< Real >::resetDualVariables(), ROL::Bundle_U< Real >::setDualVariable(), and zero.

template<typename Real >

unsigned ROL::Bundle_U_TT< Real >::solveDual_arbitrary	(	const Real	t,
		const unsigned	maxit = `1000`,
		const Real	tol = `1.e-8`
	)

private

Definition at line 765 of file ROL_Bundle_U_TT_Def.hpp.

Member Data Documentation

template<typename Real >

LAPACK<int, Real> ROL::Bundle_U_TT< Real >::lapack_

private

Definition at line 29 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

int ROL::Bundle_U_TT< Real >::QPStatus_

private

Definition at line 31 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

int ROL::Bundle_U_TT< Real >::maxind_

private

Definition at line 32 of file ROL_Bundle_U_TT.hpp.

Referenced by ROL::Bundle_U_TT< Real >::Bundle_U_TT().

template<typename Real >

int ROL::Bundle_U_TT< Real >::entering_

private

Definition at line 33 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

int ROL::Bundle_U_TT< Real >::LiMax_

private

Definition at line 34 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

int ROL::Bundle_U_TT< Real >::LiMin_

private

Definition at line 35 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

unsigned ROL::Bundle_U_TT< Real >::maxSize_

private

Definition at line 37 of file ROL_Bundle_U_TT.hpp.

Referenced by ROL::Bundle_U_TT< Real >::Bundle_U_TT().

template<typename Real >

unsigned ROL::Bundle_U_TT< Real >::dependent_

private

Definition at line 38 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

unsigned ROL::Bundle_U_TT< Real >::currSize_

private

Definition at line 39 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

bool ROL::Bundle_U_TT< Real >::isInitialized_

private

Definition at line 41 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

bool ROL::Bundle_U_TT< Real >::optimal_

private

Definition at line 42 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

Real ROL::Bundle_U_TT< Real >::rho_

private

Definition at line 44 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

Real ROL::Bundle_U_TT< Real >::lhNorm

private

Definition at line 45 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

Real ROL::Bundle_U_TT< Real >::ljNorm

private

Definition at line 46 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

Real ROL::Bundle_U_TT< Real >::lhz1_

private

Definition at line 47 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

Real ROL::Bundle_U_TT< Real >::lhz2_

private

Definition at line 48 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

Real ROL::Bundle_U_TT< Real >::ljz1_

private

Definition at line 49 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

Real ROL::Bundle_U_TT< Real >::kappa_

private

Definition at line 50 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

Real ROL::Bundle_U_TT< Real >::objval_

private

Definition at line 51 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

Real ROL::Bundle_U_TT< Real >::minobjval_

private

Definition at line 52 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

Real ROL::Bundle_U_TT< Real >::deltaLh_

private

Definition at line 53 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

Real ROL::Bundle_U_TT< Real >::deltaLj_

private

Definition at line 54 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

std::vector<int> ROL::Bundle_U_TT< Real >::taboo_

private

Definition at line 56 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

std::vector<int> ROL::Bundle_U_TT< Real >::base_

private

Definition at line 57 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

LA::Matrix<Real> ROL::Bundle_U_TT< Real >::L_

private

Definition at line 59 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

LA::Matrix<Real> ROL::Bundle_U_TT< Real >::Id_

private

Definition at line 60 of file ROL_Bundle_U_TT.hpp.

Referenced by ROL::Bundle_U_TT< Real >::Bundle_U_TT().

template<typename Real >

LA::Vector<Real> ROL::Bundle_U_TT< Real >::tempv_

private

Definition at line 61 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

LA::Vector<Real> ROL::Bundle_U_TT< Real >::tempw1_

private

Definition at line 62 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

LA::Vector<Real> ROL::Bundle_U_TT< Real >::tempw2_

private

Definition at line 63 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

LA::Vector<Real> ROL::Bundle_U_TT< Real >::lh_

private

Definition at line 64 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

LA::Vector<Real> ROL::Bundle_U_TT< Real >::lj_

private

Definition at line 65 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

LA::Vector<Real> ROL::Bundle_U_TT< Real >::z1_

private

Definition at line 66 of file ROL_Bundle_U_TT.hpp.

template<typename Real >

LA::Vector<Real> ROL::Bundle_U_TT< Real >::z2_

private

Definition at line 67 of file ROL_Bundle_U_TT.hpp.

The documentation for this class was generated from the following files:

Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

template<typename Real> class ROL::Bundle_U_TT< Real >

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<typename Real>
class ROL::Bundle_U_TT< Real >