Struct Landweber

pub struct Landweber<F> { /* private fields */ }

The Landweber iteration is a solver for ill-posed linear inverse problems.

In iteration k, the new parameter vector x_{k+1} is calculated from the previous parameter vector x_k and the gradient at x_k according to the following update rule:

x_{k+1} = x_k - omega * \nabla f(x_k)

Example

References

[0] Landweber, L. (1951): An iteration formula for Fredholm integral equations of the first kind. Amer. J. Math. 73, 615–624 [1] https://en.wikipedia.org/wiki/Landweber_iteration

Implementations

impl<F> Landweber<F>

pub fn new(omega: F) -> Self

Constructor

Trait Implementations

impl<F: Clone> Clone for Landweber<F>

fn clone(&self) -> Landweber<F>

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl<'de, F> Deserialize<'de> for Landweber<F>

where F: Deserialize<'de>,

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl<F> Serialize for Landweber<F>

where F: Serialize,

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl<O, F> Solver<O> for Landweber<F>

where O: ArgminOp<Float = F>, O::Param: ArgminScaledSub<O::Param, O::Float, O::Param>, F: ArgminFloat,

const NAME: &'static str = "Landweber"

Name of the solver

fn next_iter( &mut self, op: &mut OpWrapper<O>, state: &IterState<O>, ) -> Result<ArgminIterData<O>, Error>

Computes one iteration of the algorithm.

fn init( &mut self, _op: &mut OpWrapper<O>, _state: &IterState<O>, ) -> Result<Option<ArgminIterData<O>>, Error>

Initializes the algorithm

fn terminate_internal(&mut self, state: &IterState<O>) -> TerminationReason

Checks whether basic termination reasons apply.

fn terminate(&mut self, _state: &IterState<O>) -> TerminationReason

Checks whether the algorithm must be terminated