ROL
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#include <example_04.hpp>
Public Member Functions | |
H1BoundConstraint (std::vector< Real > &l, std::vector< Real > &u, const Teuchos::RCP< BurgersFEM< Real > > &fem, Real scale=1.0) | |
bool | isFeasible (const ROL::Vector< Real > &x) |
Check if the vector, v, is feasible. More... | |
void | project (ROL::Vector< Real > &x) |
Project optimization variables onto the bounds. More... | |
void | pruneLowerActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the lower \(\epsilon\)-active set. More... | |
void | pruneUpperActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the upper \(\epsilon\)-active set. More... | |
void | pruneActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the \(\epsilon\)-active set. More... | |
void | pruneLowerActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &g, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the lower \(\epsilon\)-binding set. More... | |
void | pruneUpperActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &g, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the upper \(\epsilon\)-binding set. More... | |
void | pruneActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &g, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the \(\epsilon\)-binding set. More... | |
void | setVectorToUpperBound (ROL::Vector< Real > &u) |
Set the input vector to the upper bound. More... | |
void | setVectorToLowerBound (ROL::Vector< Real > &l) |
Set the input vector to the lower bound. More... | |
H1BoundConstraint (std::vector< Real > &l, std::vector< Real > &u, const Teuchos::RCP< BurgersFEM< Real > > &fem, Real scale=1.0) | |
bool | isFeasible (const ROL::Vector< Real > &x) |
Check if the vector, v, is feasible. More... | |
void | project (ROL::Vector< Real > &x) |
Project optimization variables onto the bounds. More... | |
void | pruneLowerActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the lower \(\epsilon\)-active set. More... | |
void | pruneUpperActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the upper \(\epsilon\)-active set. More... | |
void | pruneActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the \(\epsilon\)-active set. More... | |
void | pruneLowerActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &g, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the lower \(\epsilon\)-binding set. More... | |
void | pruneUpperActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &g, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the upper \(\epsilon\)-binding set. More... | |
void | pruneActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &g, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the \(\epsilon\)-binding set. More... | |
void | setVectorToUpperBound (ROL::Vector< Real > &u) |
Set the input vector to the upper bound. More... | |
void | setVectorToLowerBound (ROL::Vector< Real > &l) |
Set the input vector to the lower bound. More... | |
H1BoundConstraint (std::vector< Real > &l, std::vector< Real > &u, const Teuchos::RCP< BurgersFEM< Real > > &fem, Real scale=1.0) | |
bool | isFeasible (const ROL::Vector< Real > &x) |
Check if the vector, v, is feasible. More... | |
void | project (ROL::Vector< Real > &x) |
Project optimization variables onto the bounds. More... | |
void | pruneLowerActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the lower \(\epsilon\)-active set. More... | |
void | pruneUpperActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the upper \(\epsilon\)-active set. More... | |
void | pruneActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the \(\epsilon\)-active set. More... | |
void | pruneLowerActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &g, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the lower \(\epsilon\)-binding set. More... | |
void | pruneUpperActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &g, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the upper \(\epsilon\)-binding set. More... | |
void | pruneActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &g, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the \(\epsilon\)-binding set. More... | |
void | setVectorToUpperBound (ROL::Vector< Real > &u) |
Set the input vector to the upper bound. More... | |
void | setVectorToLowerBound (ROL::Vector< Real > &l) |
Set the input vector to the lower bound. More... | |
H1BoundConstraint (std::vector< Real > &l, std::vector< Real > &u, const Teuchos::RCP< BurgersFEM< Real > > &fem, Real scale=1.0) | |
bool | isFeasible (const ROL::Vector< Real > &x) |
Check if the vector, v, is feasible. More... | |
void | project (ROL::Vector< Real > &x) |
Project optimization variables onto the bounds. More... | |
void | pruneLowerActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the lower \(\epsilon\)-active set. More... | |
void | pruneUpperActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the upper \(\epsilon\)-active set. More... | |
void | pruneActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the \(\epsilon\)-active set. More... | |
void | pruneLowerActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &g, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the lower \(\epsilon\)-binding set. More... | |
void | pruneUpperActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &g, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the upper \(\epsilon\)-binding set. More... | |
void | pruneActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &g, const ROL::Vector< Real > &x, Real eps) |
Set variables to zero if they correspond to the \(\epsilon\)-binding set. More... | |
void | setVectorToUpperBound (ROL::Vector< Real > &u) |
Set the input vector to the upper bound. More... | |
void | setVectorToLowerBound (ROL::Vector< Real > &l) |
Set the input vector to the lower bound. More... | |
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virtual | ~BoundConstraint () |
BoundConstraint (void) | |
BoundConstraint (const Teuchos::RCP< Vector< Real > > &x_lo, const Teuchos::RCP< Vector< Real > > &x_up, const Real scale=1.0) | |
Default constructor. More... | |
virtual void | update (const Vector< Real > &x, bool flag=true, int iter=-1) |
Update bounds. More... | |
const Teuchos::RCP< Vector< Real > > | getLowerVectorRCP (void) const |
Return the ref count pointer to the lower bound vector. More... | |
const Teuchos::RCP< Vector< Real > > | getUpperVectorRCP (void) const |
Return the ref count pointer to the upper bound vector. More... | |
void | activate (void) |
Turn on bounds. More... | |
void | deactivate (void) |
Turn off bounds. More... | |
bool | isActivated (void) |
Check if bounds are on. More... | |
void | pruneInactive (Vector< Real > &v, const Vector< Real > &x, Real eps=0.0) |
Set variables to zero if they correspond to the \(\epsilon\)-inactive set. More... | |
void | pruneLowerInactive (Vector< Real > &v, const Vector< Real > &x, Real eps=0.0) |
void | pruneUpperInactive (Vector< Real > &v, const Vector< Real > &x, Real eps=0.0) |
void | pruneInactive (Vector< Real > &v, const Vector< Real > &g, const Vector< Real > &x, Real eps=0.0) |
Set variables to zero if they correspond to the \(\epsilon\)-nonbinding set. More... | |
void | pruneLowerInactive (Vector< Real > &v, const Vector< Real > &g, const Vector< Real > &x, Real eps=0.0) |
void | pruneUpperInactive (Vector< Real > &v, const Vector< Real > &g, const Vector< Real > &x, Real eps=0.0) |
void | computeProjectedGradient (Vector< Real > &g, const Vector< Real > &x) |
Compute projected gradient. More... | |
void | computeProjectedStep (Vector< Real > &v, const Vector< Real > &x) |
Compute projected step. More... | |
Private Member Functions | |
void | cast_vector (Teuchos::RCP< std::vector< Real > > &xvec, ROL::Vector< Real > &x) const |
void | cast_const_vector (Teuchos::RCP< const std::vector< Real > > &xvec, const ROL::Vector< Real > &x) const |
void | axpy (std::vector< Real > &out, const Real a, const std::vector< Real > &x, const std::vector< Real > &y) const |
void | projection (std::vector< Real > &x) |
void | cast_vector (Teuchos::RCP< std::vector< Real > > &xvec, ROL::Vector< Real > &x) const |
void | cast_const_vector (Teuchos::RCP< const std::vector< Real > > &xvec, const ROL::Vector< Real > &x) const |
void | axpy (std::vector< Real > &out, const Real a, const std::vector< Real > &x, const std::vector< Real > &y) const |
void | projection (std::vector< Real > &x) |
void | cast_vector (Teuchos::RCP< std::vector< Real > > &xvec, ROL::Vector< Real > &x) const |
void | cast_const_vector (Teuchos::RCP< const std::vector< Real > > &xvec, const ROL::Vector< Real > &x) const |
void | axpy (std::vector< Real > &out, const Real a, const std::vector< Real > &x, const std::vector< Real > &y) const |
void | projection (std::vector< Real > &x) |
void | cast_vector (Teuchos::RCP< std::vector< Real > > &xvec, ROL::Vector< Real > &x) const |
void | cast_const_vector (Teuchos::RCP< const std::vector< Real > > &xvec, const ROL::Vector< Real > &x) const |
void | axpy (std::vector< Real > &out, const Real a, const std::vector< Real > &x, const std::vector< Real > &y) const |
void | projection (std::vector< Real > &x) |
Private Attributes | |
int | dim_ |
std::vector< Real > | x_lo_ |
std::vector< Real > | x_up_ |
Real | min_diff_ |
Real | scale_ |
Teuchos::RCP< BurgersFEM< Real > > | fem_ |
Definition at line 1316 of file example_04.hpp.
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Definition at line 1364 of file example_04.hpp.
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Definition at line 1421 of file example_06.hpp.
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Definition at line 1437 of file example_07.hpp.
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Definition at line 1421 of file example_08.hpp.
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Definition at line 1325 of file example_04.hpp.
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Definition at line 1337 of file example_04.hpp.
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Definition at line 1349 of file example_04.hpp.
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Definition at line 1357 of file example_04.hpp.
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Check if the vector, v, is feasible.
This function returns true if \(v = P_{[a,b]}(v)\).
[in] | v | is the vector to be checked. |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1379 of file example_04.hpp.
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Project optimization variables onto the bounds.
This function implements the projection of \(x\) onto the bounds, i.e.,
\[ (P_{[a,b]}(x))(\xi) = \min\{b(\xi),\max\{a(\xi),x(\xi)\}\} \quad \text{for almost every }\xi\in\Xi. \]
[in,out] | x | is the optimization variable. |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1391 of file example_04.hpp.
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Set variables to zero if they correspond to the lower \(\epsilon\)-active set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{A}^-_\epsilon(x)\). Here, the lower \(\epsilon\)-active set is defined as
\[ \mathcal{A}^-_\epsilon(x) = \{\,\xi\in\Xi\,:\,x(\xi) = a(\xi)+\epsilon\,\}. \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1396 of file example_04.hpp.
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Set variables to zero if they correspond to the upper \(\epsilon\)-active set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{A}^+_\epsilon(x)\). Here, the upper \(\epsilon\)-active set is defined as
\[ \mathcal{A}^+_\epsilon(x) = \{\,\xi\in\Xi\,:\,x(\xi) = b(\xi)-\epsilon\,\}. \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1407 of file example_04.hpp.
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Set variables to zero if they correspond to the \(\epsilon\)-active set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{A}_\epsilon(x)\). Here, the \(\epsilon\)-active set is defined as
\[ \mathcal{A}_\epsilon(x) = \mathcal{A}^+_\epsilon(x)\cap\mathcal{A}^-_\epsilon(x). \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1418 of file example_04.hpp.
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Set variables to zero if they correspond to the lower \(\epsilon\)-binding set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{B}^-_\epsilon(x)\). Here, the lower \(\epsilon\)-binding set is defined as
\[ \mathcal{B}^-_\epsilon(x) = \{\,\xi\in\Xi\,:\,x(\xi) = a(\xi)+\epsilon,\; g(\xi) > 0 \,\}. \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | g | is the negative search direction. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1430 of file example_04.hpp.
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Set variables to zero if they correspond to the upper \(\epsilon\)-binding set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{B}^+_\epsilon(x)\). Here, the upper \(\epsilon\)-binding set is defined as
\[ \mathcal{B}^+_\epsilon(x) = \{\,\xi\in\Xi\,:\,x(\xi) = b(\xi)-\epsilon,\; g(\xi) < 0 \,\}. \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | g | is the negative search direction. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1442 of file example_04.hpp.
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Set variables to zero if they correspond to the \(\epsilon\)-binding set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{B}_\epsilon(x)\). Here, the \(\epsilon\)-binding set is defined as
\[ \mathcal{B}^+_\epsilon(x) = \mathcal{B}^+_\epsilon(x)\cap\mathcal{B}^-_\epsilon(x). \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | g | is the negative search direction. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1454 of file example_04.hpp.
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Set the input vector to the upper bound.
This function sets the input vector \(u\) to the upper bound \(b\).
[out] | u | is the vector to be set to the upper bound. |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1467 of file example_04.hpp.
References ROL::Vector< Real >::set().
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Set the input vector to the lower bound.
This function sets the input vector \(l\) to the lower bound \(a\).
[out] | l | is the vector to be set to the lower bound. |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1474 of file example_04.hpp.
References ROL::Vector< Real >::set().
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Definition at line 1382 of file example_06.hpp.
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Definition at line 1394 of file example_06.hpp.
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Definition at line 1406 of file example_06.hpp.
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Definition at line 1414 of file example_06.hpp.
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Check if the vector, v, is feasible.
This function returns true if \(v = P_{[a,b]}(v)\).
[in] | v | is the vector to be checked. |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1436 of file example_06.hpp.
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Project optimization variables onto the bounds.
This function implements the projection of \(x\) onto the bounds, i.e.,
\[ (P_{[a,b]}(x))(\xi) = \min\{b(\xi),\max\{a(\xi),x(\xi)\}\} \quad \text{for almost every }\xi\in\Xi. \]
[in,out] | x | is the optimization variable. |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1448 of file example_06.hpp.
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Set variables to zero if they correspond to the lower \(\epsilon\)-active set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{A}^-_\epsilon(x)\). Here, the lower \(\epsilon\)-active set is defined as
\[ \mathcal{A}^-_\epsilon(x) = \{\,\xi\in\Xi\,:\,x(\xi) = a(\xi)+\epsilon\,\}. \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1453 of file example_06.hpp.
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Set variables to zero if they correspond to the upper \(\epsilon\)-active set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{A}^+_\epsilon(x)\). Here, the upper \(\epsilon\)-active set is defined as
\[ \mathcal{A}^+_\epsilon(x) = \{\,\xi\in\Xi\,:\,x(\xi) = b(\xi)-\epsilon\,\}. \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1464 of file example_06.hpp.
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Set variables to zero if they correspond to the \(\epsilon\)-active set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{A}_\epsilon(x)\). Here, the \(\epsilon\)-active set is defined as
\[ \mathcal{A}_\epsilon(x) = \mathcal{A}^+_\epsilon(x)\cap\mathcal{A}^-_\epsilon(x). \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1475 of file example_06.hpp.
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Set variables to zero if they correspond to the lower \(\epsilon\)-binding set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{B}^-_\epsilon(x)\). Here, the lower \(\epsilon\)-binding set is defined as
\[ \mathcal{B}^-_\epsilon(x) = \{\,\xi\in\Xi\,:\,x(\xi) = a(\xi)+\epsilon,\; g(\xi) > 0 \,\}. \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | g | is the negative search direction. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1487 of file example_06.hpp.
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Set variables to zero if they correspond to the upper \(\epsilon\)-binding set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{B}^+_\epsilon(x)\). Here, the upper \(\epsilon\)-binding set is defined as
\[ \mathcal{B}^+_\epsilon(x) = \{\,\xi\in\Xi\,:\,x(\xi) = b(\xi)-\epsilon,\; g(\xi) < 0 \,\}. \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | g | is the negative search direction. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1499 of file example_06.hpp.
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Set variables to zero if they correspond to the \(\epsilon\)-binding set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{B}_\epsilon(x)\). Here, the \(\epsilon\)-binding set is defined as
\[ \mathcal{B}^+_\epsilon(x) = \mathcal{B}^+_\epsilon(x)\cap\mathcal{B}^-_\epsilon(x). \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | g | is the negative search direction. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1511 of file example_06.hpp.
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Set the input vector to the upper bound.
This function sets the input vector \(u\) to the upper bound \(b\).
[out] | u | is the vector to be set to the upper bound. |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1524 of file example_06.hpp.
References ROL::Vector< Real >::set().
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Set the input vector to the lower bound.
This function sets the input vector \(l\) to the lower bound \(a\).
[out] | l | is the vector to be set to the lower bound. |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1531 of file example_06.hpp.
References ROL::Vector< Real >::set().
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Definition at line 1398 of file example_07.hpp.
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Definition at line 1410 of file example_07.hpp.
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Definition at line 1422 of file example_07.hpp.
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Definition at line 1430 of file example_07.hpp.
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Check if the vector, v, is feasible.
This function returns true if \(v = P_{[a,b]}(v)\).
[in] | v | is the vector to be checked. |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1452 of file example_07.hpp.
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Project optimization variables onto the bounds.
This function implements the projection of \(x\) onto the bounds, i.e.,
\[ (P_{[a,b]}(x))(\xi) = \min\{b(\xi),\max\{a(\xi),x(\xi)\}\} \quad \text{for almost every }\xi\in\Xi. \]
[in,out] | x | is the optimization variable. |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1464 of file example_07.hpp.
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Set variables to zero if they correspond to the lower \(\epsilon\)-active set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{A}^-_\epsilon(x)\). Here, the lower \(\epsilon\)-active set is defined as
\[ \mathcal{A}^-_\epsilon(x) = \{\,\xi\in\Xi\,:\,x(\xi) = a(\xi)+\epsilon\,\}. \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1469 of file example_07.hpp.
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Set variables to zero if they correspond to the upper \(\epsilon\)-active set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{A}^+_\epsilon(x)\). Here, the upper \(\epsilon\)-active set is defined as
\[ \mathcal{A}^+_\epsilon(x) = \{\,\xi\in\Xi\,:\,x(\xi) = b(\xi)-\epsilon\,\}. \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1480 of file example_07.hpp.
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Set variables to zero if they correspond to the \(\epsilon\)-active set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{A}_\epsilon(x)\). Here, the \(\epsilon\)-active set is defined as
\[ \mathcal{A}_\epsilon(x) = \mathcal{A}^+_\epsilon(x)\cap\mathcal{A}^-_\epsilon(x). \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1491 of file example_07.hpp.
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Set variables to zero if they correspond to the lower \(\epsilon\)-binding set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{B}^-_\epsilon(x)\). Here, the lower \(\epsilon\)-binding set is defined as
\[ \mathcal{B}^-_\epsilon(x) = \{\,\xi\in\Xi\,:\,x(\xi) = a(\xi)+\epsilon,\; g(\xi) > 0 \,\}. \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | g | is the negative search direction. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1503 of file example_07.hpp.
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inlinevirtual |
Set variables to zero if they correspond to the upper \(\epsilon\)-binding set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{B}^+_\epsilon(x)\). Here, the upper \(\epsilon\)-binding set is defined as
\[ \mathcal{B}^+_\epsilon(x) = \{\,\xi\in\Xi\,:\,x(\xi) = b(\xi)-\epsilon,\; g(\xi) < 0 \,\}. \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | g | is the negative search direction. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1515 of file example_07.hpp.
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Set variables to zero if they correspond to the \(\epsilon\)-binding set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{B}_\epsilon(x)\). Here, the \(\epsilon\)-binding set is defined as
\[ \mathcal{B}^+_\epsilon(x) = \mathcal{B}^+_\epsilon(x)\cap\mathcal{B}^-_\epsilon(x). \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | g | is the negative search direction. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1527 of file example_07.hpp.
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Set the input vector to the upper bound.
This function sets the input vector \(u\) to the upper bound \(b\).
[out] | u | is the vector to be set to the upper bound. |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1540 of file example_07.hpp.
References ROL::Vector< Real >::set().
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Set the input vector to the lower bound.
This function sets the input vector \(l\) to the lower bound \(a\).
[out] | l | is the vector to be set to the lower bound. |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1547 of file example_07.hpp.
References ROL::Vector< Real >::set().
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Definition at line 1382 of file example_08.hpp.
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inlineprivate |
Definition at line 1394 of file example_08.hpp.
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inlineprivate |
Definition at line 1406 of file example_08.hpp.
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inlineprivate |
Definition at line 1414 of file example_08.hpp.
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Check if the vector, v, is feasible.
This function returns true if \(v = P_{[a,b]}(v)\).
[in] | v | is the vector to be checked. |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1436 of file example_08.hpp.
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Project optimization variables onto the bounds.
This function implements the projection of \(x\) onto the bounds, i.e.,
\[ (P_{[a,b]}(x))(\xi) = \min\{b(\xi),\max\{a(\xi),x(\xi)\}\} \quad \text{for almost every }\xi\in\Xi. \]
[in,out] | x | is the optimization variable. |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1448 of file example_08.hpp.
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Set variables to zero if they correspond to the lower \(\epsilon\)-active set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{A}^-_\epsilon(x)\). Here, the lower \(\epsilon\)-active set is defined as
\[ \mathcal{A}^-_\epsilon(x) = \{\,\xi\in\Xi\,:\,x(\xi) = a(\xi)+\epsilon\,\}. \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1453 of file example_08.hpp.
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inlinevirtual |
Set variables to zero if they correspond to the upper \(\epsilon\)-active set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{A}^+_\epsilon(x)\). Here, the upper \(\epsilon\)-active set is defined as
\[ \mathcal{A}^+_\epsilon(x) = \{\,\xi\in\Xi\,:\,x(\xi) = b(\xi)-\epsilon\,\}. \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1464 of file example_08.hpp.
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inlinevirtual |
Set variables to zero if they correspond to the \(\epsilon\)-active set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{A}_\epsilon(x)\). Here, the \(\epsilon\)-active set is defined as
\[ \mathcal{A}_\epsilon(x) = \mathcal{A}^+_\epsilon(x)\cap\mathcal{A}^-_\epsilon(x). \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1475 of file example_08.hpp.
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inlinevirtual |
Set variables to zero if they correspond to the lower \(\epsilon\)-binding set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{B}^-_\epsilon(x)\). Here, the lower \(\epsilon\)-binding set is defined as
\[ \mathcal{B}^-_\epsilon(x) = \{\,\xi\in\Xi\,:\,x(\xi) = a(\xi)+\epsilon,\; g(\xi) > 0 \,\}. \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | g | is the negative search direction. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1487 of file example_08.hpp.
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inlinevirtual |
Set variables to zero if they correspond to the upper \(\epsilon\)-binding set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{B}^+_\epsilon(x)\). Here, the upper \(\epsilon\)-binding set is defined as
\[ \mathcal{B}^+_\epsilon(x) = \{\,\xi\in\Xi\,:\,x(\xi) = b(\xi)-\epsilon,\; g(\xi) < 0 \,\}. \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | g | is the negative search direction. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1499 of file example_08.hpp.
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inlinevirtual |
Set variables to zero if they correspond to the \(\epsilon\)-binding set.
This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{B}_\epsilon(x)\). Here, the \(\epsilon\)-binding set is defined as
\[ \mathcal{B}^+_\epsilon(x) = \mathcal{B}^+_\epsilon(x)\cap\mathcal{B}^-_\epsilon(x). \]
[out] | v | is the variable to be pruned. |
[in] | x | is the current optimization variable. |
[in] | g | is the negative search direction. |
[in] | eps | is the active-set tolerance \(\epsilon\). |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1511 of file example_08.hpp.
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inlinevirtual |
Set the input vector to the upper bound.
This function sets the input vector \(u\) to the upper bound \(b\).
[out] | u | is the vector to be set to the upper bound. |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1524 of file example_08.hpp.
References ROL::Vector< Real >::set().
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inlinevirtual |
Set the input vector to the lower bound.
This function sets the input vector \(l\) to the lower bound \(a\).
[out] | l | is the vector to be set to the lower bound. |
Reimplemented from ROL::BoundConstraint< Real >.
Definition at line 1531 of file example_08.hpp.
References ROL::Vector< Real >::set().
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private |
Definition at line 1318 of file example_04.hpp.
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private |
Definition at line 1319 of file example_04.hpp.
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private |
Definition at line 1320 of file example_04.hpp.
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private |
Definition at line 1321 of file example_04.hpp.
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Definition at line 1322 of file example_04.hpp.
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private |
Definition at line 1323 of file example_04.hpp.