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std::shared_ptr< const LinOp > | get_system_matrix () const |
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std::shared_ptr< const LinOp > | get_inner_operator () const |
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const parameters_type & | get_parameters () const |
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const ScaledReordered< default_precision, int32 > * | apply (ptr_param< const LinOp > b, ptr_param< LinOp > x) const |
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ScaledReordered< default_precision, int32 > * | apply (ptr_param< const LinOp > b, ptr_param< LinOp > x) |
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const ScaledReordered< default_precision, int32 > * | apply (ptr_param< const LinOp > alpha, ptr_param< const LinOp > b, ptr_param< const LinOp > beta, ptr_param< LinOp > x) const |
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ScaledReordered< default_precision, int32 > * | apply (ptr_param< const LinOp > alpha, ptr_param< const LinOp > b, ptr_param< const LinOp > beta, ptr_param< LinOp > x) |
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std::unique_ptr< ScaledReordered< default_precision, int32 > > | create_default (std::shared_ptr< const Executor > exec) const |
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std::unique_ptr< ScaledReordered< default_precision, int32 > > | create_default () const |
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std::unique_ptr< ScaledReordered< default_precision, int32 > > | clone (std::shared_ptr< const Executor > exec) const |
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std::unique_ptr< ScaledReordered< default_precision, int32 > > | clone () const |
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ScaledReordered< default_precision, int32 > * | copy_from (const PolymorphicObject *other) |
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std::enable_if_t< std::is_base_of< PolymorphicObject, std::decay_t< Derived > >::value, ScaledReordered< default_precision, int32 > > * | copy_from (std::unique_ptr< Derived > &&other) |
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std::enable_if_t< std::is_base_of< PolymorphicObject, std::decay_t< Derived > >::value, ScaledReordered< default_precision, int32 > > * | copy_from (const std::unique_ptr< Derived > &other) |
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ScaledReordered< default_precision, int32 > * | copy_from (const std::shared_ptr< const PolymorphicObject > &other) |
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ScaledReordered< default_precision, int32 > * | move_from (ptr_param< PolymorphicObject > other) |
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ScaledReordered< default_precision, int32 > * | clear () |
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| LinOp * | apply (ptr_param< const LinOp > b, ptr_param< LinOp > x) |
| | Applies a linear operator to a vector (or a sequence of vectors).
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| const LinOp * | apply (ptr_param< const LinOp > b, ptr_param< LinOp > x) const |
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| LinOp * | apply (ptr_param< const LinOp > alpha, ptr_param< const LinOp > b, ptr_param< const LinOp > beta, ptr_param< LinOp > x) |
| | Performs the operation x = alpha * op(b) + beta * x.
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| const LinOp * | apply (ptr_param< const LinOp > alpha, ptr_param< const LinOp > b, ptr_param< const LinOp > beta, ptr_param< LinOp > x) const |
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| const dim< 2 > & | get_size () const noexcept |
| | Returns the size of the operator.
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| virtual bool | apply_uses_initial_guess () const |
| | Returns true if the linear operator uses the data given in x as an initial guess.
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| LinOp & | operator= (const LinOp &)=default |
| | Copy-assigns a LinOp.
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| LinOp & | operator= (LinOp &&other) |
| | Move-assigns a LinOp.
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| | LinOp (const LinOp &)=default |
| | Copy-constructs a LinOp.
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| | LinOp (LinOp &&other) |
| | Move-constructs a LinOp.
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std::unique_ptr< LinOp > | create_default (std::shared_ptr< const Executor > exec) const |
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std::unique_ptr< LinOp > | create_default () const |
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std::unique_ptr< LinOp > | clone (std::shared_ptr< const Executor > exec) const |
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std::unique_ptr< LinOp > | clone () const |
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LinOp * | copy_from (const PolymorphicObject *other) |
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std::enable_if_t< std::is_base_of< PolymorphicObject, std::decay_t< Derived > >::value, LinOp > * | copy_from (std::unique_ptr< Derived > &&other) |
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std::enable_if_t< std::is_base_of< PolymorphicObject, std::decay_t< Derived > >::value, LinOp > * | copy_from (const std::unique_ptr< Derived > &other) |
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LinOp * | copy_from (const std::shared_ptr< const PolymorphicObject > &other) |
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LinOp * | move_from (ptr_param< PolymorphicObject > other) |
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LinOp * | clear () |
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PolymorphicObject & | operator= (const PolymorphicObject &) |
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| std::unique_ptr< PolymorphicObject > | create_default (std::shared_ptr< const Executor > exec) const |
| | Creates a new "default" object of the same dynamic type as this object.
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| std::unique_ptr< PolymorphicObject > | create_default () const |
| | Creates a new "default" object of the same dynamic type as this object.
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| std::unique_ptr< PolymorphicObject > | clone (std::shared_ptr< const Executor > exec) const |
| | Creates a clone of the object.
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| std::unique_ptr< PolymorphicObject > | clone () const |
| | Creates a clone of the object.
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| PolymorphicObject * | copy_from (const PolymorphicObject *other) |
| | Copies another object into this object.
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| template<typename Derived, typename Deleter> |
| std::enable_if_t< std::is_base_of< PolymorphicObject, std::decay_t< Derived > >::value, PolymorphicObject > * | copy_from (std::unique_ptr< Derived, Deleter > &&other) |
| | Moves another object into this object.
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| template<typename Derived, typename Deleter> |
| std::enable_if_t< std::is_base_of< PolymorphicObject, std::decay_t< Derived > >::value, PolymorphicObject > * | copy_from (const std::unique_ptr< Derived, Deleter > &other) |
| | Copies another object into this object.
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| PolymorphicObject * | copy_from (const std::shared_ptr< const PolymorphicObject > &other) |
| | Copies another object into this object.
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| PolymorphicObject * | move_from (ptr_param< PolymorphicObject > other) |
| | Moves another object into this object.
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| PolymorphicObject * | clear () |
| | Transforms the object into its default state.
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| std::shared_ptr< const Executor > | get_executor () const noexcept |
| | Returns the Executor of the object.
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| void | add_logger (std::shared_ptr< const Logger > logger) override |
| | Adds a new logger to the list of subscribed loggers.
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| void | remove_logger (const Logger *logger) override |
| | Removes a logger from the list of subscribed loggers.
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void | remove_logger (ptr_param< const Logger > logger) |
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| const std::vector< std::shared_ptr< const Logger > > & | get_loggers () const override |
| | Returns the vector containing all loggers registered at this object.
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| void | clear_loggers () override |
| | Remove all loggers registered at this object.
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void | remove_logger (ptr_param< const Logger > logger) |
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| void | convert_to (result_type *result) const override |
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| void | move_to (result_type *result) override |
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void | convert_to (ptr_param< result_type > result) const |
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void | move_to (ptr_param< result_type > result) |
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template<typename ValueType = default_precision, typename IndexType = int32>
class gko::experimental::reorder::ScaledReordered< ValueType, IndexType >
Provides an interface to wrap reorderings like Rcm and diagonal scaling like equilibration around a LinOp like e.g.
a sparse direct solver.
Reorderings can be useful for reducing fill-in in the numerical factorization phase of direct solvers, diagonal scaling can help improve the numerical stability by reducing the condition number of the system matrix.
With a permutation matrix P, a row scaling R and a column scaling C, the inner operator is applied to the system matrix P*R*A*C*P^T instead of A. Instead of A*x = b, the inner operator attempts to solve the equivalent linear system P*R*A*C*P^T*y = P*R*b and retrieves the solution x = C*P^T*y. Note: The inner system matrix is computed from a clone of A, so the original system matrix is not changed.
- Template Parameters
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| ValueType | Type of the values of all matrices used in this class |
| IndexType | Type of the indices of all matrices used in this class |