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ConstrainedOptPack: C++ Tools for Constrained (and Unconstrained) Optimization
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Orthogonal variable reduction subclass. More...
#include <ConstrainedOptPack_DecompositionSystemOrthogonal.hpp>

Constructors / initializers | |
| DecompositionSystemOrthogonal (const VectorSpace::space_ptr_t &space_x=Teuchos::null, const VectorSpace::space_ptr_t &space_c=Teuchos::null, const basis_sys_ptr_t &basis_sys=Teuchos::null, const basis_sys_tester_ptr_t &basis_sys_tester=Teuchos::null, EExplicitImplicit D_imp=MAT_IMP_EXPLICIT, EExplicitImplicit Uz_imp=MAT_IMP_EXPLICIT) | |
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Overridden from DecompositionSystem | |
| const mat_fcty_ptr_t | factory_Y () const |
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| const mat_nonsing_fcty_ptr_t | factory_R () const |
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| const mat_fcty_ptr_t | factory_Uy () const |
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Overridden from DecompositionSystemVarReductImp | |
| void | update_D_imp_used (EExplicitImplicit *D_imp_used) const |
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| mat_nonsing_fcty_ptr_t::element_type::obj_ptr_t | uninitialize_matrices (std::ostream *out, EOutputLevel olevel, MatrixOp *Y, MatrixOpNonsing *R, MatrixOp *Uy) const |
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| void | initialize_matrices (std::ostream *out, EOutputLevel olevel, const mat_nonsing_fcty_ptr_t::element_type::obj_ptr_t &C, const mat_fcty_ptr_t::element_type::obj_ptr_t &D, MatrixOp *Y, MatrixOpNonsing *R, MatrixOp *Uy, EMatRelations mat_rel) const |
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| void | print_update_matrices (std::ostream &out, const std::string &leading_str) const |
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Orthogonal variable reduction subclass.
This is the interface for the coordinate variable reduction decomposition where:
Y = [ I ] = [ I ] (class MatrixIdentConcatStd)
[ N'*inv(C') ] [ -D' ]
R = Gc(:,con_decomp)'*Y = [ C N ] * [ I ] = (C + N*N'*inv(C'))
[ N'*inv(C') ]
= C*(I + inv(C)*N*N'*inv(C'))
= C*(I + D*D')
Uy = Gc(:,con_undecomp)'*Y = [ E F ] * [ I ]
[ -D' ]
= E - F*D'
See the matrix subclass MatrixDecompRangeOrthog for details on how linear systems with R are solved for.
For now the copy constructor and the assignment operator are not defined.
Definition at line 74 of file ConstrainedOptPack_DecompositionSystemOrthogonal.hpp.
| ConstrainedOptPack::DecompositionSystemOrthogonal::DecompositionSystemOrthogonal | ( | const VectorSpace::space_ptr_t & | space_x = Teuchos::null, |
| const VectorSpace::space_ptr_t & | space_c = Teuchos::null, |
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| const basis_sys_ptr_t & | basis_sys = Teuchos::null, |
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| const basis_sys_tester_ptr_t & | basis_sys_tester = Teuchos::null, |
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| EExplicitImplicit | D_imp = MAT_IMP_EXPLICIT, |
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| EExplicitImplicit | Uz_imp = MAT_IMP_EXPLICIT |
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| ) |
Definition at line 60 of file ConstrainedOptPack_DecompositionSystemOrthogonal.cpp.
| const DecompositionSystem::mat_fcty_ptr_t ConstrainedOptPack::DecompositionSystemOrthogonal::factory_Y | ( | ) | const [virtual] |
Implements ConstrainedOptPack::DecompositionSystem.
Definition at line 76 of file ConstrainedOptPack_DecompositionSystemOrthogonal.cpp.
| const DecompositionSystem::mat_nonsing_fcty_ptr_t ConstrainedOptPack::DecompositionSystemOrthogonal::factory_R | ( | ) | const [virtual] |
Implements ConstrainedOptPack::DecompositionSystem.
Definition at line 85 of file ConstrainedOptPack_DecompositionSystemOrthogonal.cpp.
| const DecompositionSystem::mat_fcty_ptr_t ConstrainedOptPack::DecompositionSystemOrthogonal::factory_Uy | ( | ) | const [virtual] |
Implements ConstrainedOptPack::DecompositionSystem.
Definition at line 94 of file ConstrainedOptPack_DecompositionSystemOrthogonal.cpp.
| void ConstrainedOptPack::DecompositionSystemOrthogonal::update_D_imp_used | ( | EExplicitImplicit * | D_imp_used | ) | const [protected, virtual] |
Reimplemented from ConstrainedOptPack::DecompositionSystemVarReductImp.
Definition at line 101 of file ConstrainedOptPack_DecompositionSystemOrthogonal.cpp.
| DecompositionSystem::mat_nonsing_fcty_ptr_t::element_type::obj_ptr_t ConstrainedOptPack::DecompositionSystemOrthogonal::uninitialize_matrices | ( | std::ostream * | out, |
| EOutputLevel | olevel, | ||
| MatrixOp * | Y, | ||
| MatrixOpNonsing * | R, | ||
| MatrixOp * | Uy | ||
| ) | const [protected, virtual] |
Implements ConstrainedOptPack::DecompositionSystemVarReductImp.
Definition at line 107 of file ConstrainedOptPack_DecompositionSystemOrthogonal.cpp.
| void ConstrainedOptPack::DecompositionSystemOrthogonal::initialize_matrices | ( | std::ostream * | out, |
| EOutputLevel | olevel, | ||
| const mat_nonsing_fcty_ptr_t::element_type::obj_ptr_t & | C, | ||
| const mat_fcty_ptr_t::element_type::obj_ptr_t & | D, | ||
| MatrixOp * | Y, | ||
| MatrixOpNonsing * | R, | ||
| MatrixOp * | Uy, | ||
| EMatRelations | mat_rel | ||
| ) | const [protected, virtual] |
Implements ConstrainedOptPack::DecompositionSystemVarReductImp.
Definition at line 161 of file ConstrainedOptPack_DecompositionSystemOrthogonal.cpp.
| void ConstrainedOptPack::DecompositionSystemOrthogonal::print_update_matrices | ( | std::ostream & | out, |
| const std::string & | leading_str | ||
| ) | const [protected, virtual] |
Implements ConstrainedOptPack::DecompositionSystemVarReductImp.
Definition at line 259 of file ConstrainedOptPack_DecompositionSystemOrthogonal.cpp.
1.7.6.1