[−][src]Struct argmin::solver::conjugategradient::cg::ConjugateGradient
The conjugate gradient method is a solver for systems of linear equations with a symmetric and positive-definite matrix.
References:
[0] Jorge Nocedal and Stephen J. Wright (2006). Numerical Optimization. Springer. ISBN 0-387-30303-0.
Methods
impl<P, S> ConjugateGradient<P, S> where
P: Clone + Default,
S: Default,
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P: Clone + Default,
S: Default,
pub fn new(b: P) -> Result<Self, Error>
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Constructor
Parameters:
b
: right hand side of A * x = b
pub fn p(&self) -> P
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Return the current search direction (This is needed by NewtonCG for instance)
pub fn p_prev(&self) -> P
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Return the previous search direction (This is needed by NewtonCG for instance)
pub fn residual(&self) -> P
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Return the current residual (This is needed by NewtonCG for instance)
Trait Implementations
impl<P: Clone, S: Clone> Clone for ConjugateGradient<P, S>
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fn clone(&self) -> ConjugateGradient<P, S>
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fn clone_from(&mut self, source: &Self)
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impl<'de, P, S> Deserialize<'de> for ConjugateGradient<P, S> where
P: Deserialize<'de>,
S: Default,
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P: Deserialize<'de>,
S: Default,
fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error> where
__D: Deserializer<'de>,
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__D: Deserializer<'de>,
impl<P, S> Serialize for ConjugateGradient<P, S> where
P: Serialize,
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P: Serialize,
fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error> where
__S: Serializer,
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__S: Serializer,
impl<P, O, S, F> Solver<O> for ConjugateGradient<P, S> where
O: ArgminOp<Param = P, Output = P, Float = F>,
P: Clone + Serialize + DeserializeOwned + ArgminDot<O::Param, S> + ArgminSub<O::Param, O::Param> + ArgminScaledAdd<O::Param, S, O::Param> + ArgminAdd<O::Param, O::Param> + ArgminConj + ArgminMul<O::Float, O::Param>,
S: Debug + ArgminDiv<S, S> + ArgminNorm<O::Float> + ArgminConj,
F: ArgminFloat,
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O: ArgminOp<Param = P, Output = P, Float = F>,
P: Clone + Serialize + DeserializeOwned + ArgminDot<O::Param, S> + ArgminSub<O::Param, O::Param> + ArgminScaledAdd<O::Param, S, O::Param> + ArgminAdd<O::Param, O::Param> + ArgminConj + ArgminMul<O::Float, O::Param>,
S: Debug + ArgminDiv<S, S> + ArgminNorm<O::Float> + ArgminConj,
F: ArgminFloat,
const NAME: &'static str
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fn init(
&mut self,
op: &mut OpWrapper<O>,
state: &IterState<O>
) -> Result<Option<ArgminIterData<O>>, Error>
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&mut self,
op: &mut OpWrapper<O>,
state: &IterState<O>
) -> Result<Option<ArgminIterData<O>>, Error>
fn next_iter(
&mut self,
op: &mut OpWrapper<O>,
state: &IterState<O>
) -> Result<ArgminIterData<O>, Error>
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&mut self,
op: &mut OpWrapper<O>,
state: &IterState<O>
) -> Result<ArgminIterData<O>, Error>
Perform one iteration of CG algorithm
fn terminate_internal(&mut self, state: &IterState<O>) -> TerminationReason
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fn terminate(&mut self, _state: &IterState<O>) -> TerminationReason
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Auto Trait Implementations
impl<P, S> RefUnwindSafe for ConjugateGradient<P, S> where
P: RefUnwindSafe,
S: RefUnwindSafe,
P: RefUnwindSafe,
S: RefUnwindSafe,
impl<P, S> Send for ConjugateGradient<P, S> where
P: Send,
S: Send,
P: Send,
S: Send,
impl<P, S> Sync for ConjugateGradient<P, S> where
P: Sync,
S: Sync,
P: Sync,
S: Sync,
impl<P, S> Unpin for ConjugateGradient<P, S> where
P: Unpin,
S: Unpin,
P: Unpin,
S: Unpin,
impl<P, S> UnwindSafe for ConjugateGradient<P, S> where
P: UnwindSafe,
S: UnwindSafe,
P: UnwindSafe,
S: UnwindSafe,
Blanket Implementations
impl<T> Any for T where
T: 'static + ?Sized,
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T: 'static + ?Sized,
impl<T> Borrow<T> for T where
T: ?Sized,
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T: ?Sized,
impl<T> BorrowMut<T> for T where
T: ?Sized,
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T: ?Sized,
fn borrow_mut(&mut self) -> &mut T
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impl<T> DeserializeOwned for T where
T: for<'de> Deserialize<'de>,
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T: for<'de> Deserialize<'de>,
impl<T> From<T> for T
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impl<T, U> Into<U> for T where
U: From<T>,
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U: From<T>,
impl<T> SendSyncUnwindSafe for T where
T: Send + Sync + UnwindSafe + ?Sized,
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T: Send + Sync + UnwindSafe + ?Sized,
impl<T> ToOwned for T where
T: Clone,
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T: Clone,
type Owned = T
The resulting type after obtaining ownership.
fn to_owned(&self) -> T
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fn clone_into(&self, target: &mut T)
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impl<T, U> TryFrom<U> for T where
U: Into<T>,
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U: Into<T>,
type Error = Infallible
The type returned in the event of a conversion error.
fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>
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impl<T, U> TryInto<U> for T where
U: TryFrom<T>,
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U: TryFrom<T>,
type Error = <U as TryFrom<T>>::Error
The type returned in the event of a conversion error.
fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>
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impl<V, T> VZip<V> for T where
V: MultiLane<T>,
V: MultiLane<T>,