ModifiedIncompleteCholeskyPreconditioner<T> Class

public sealed class ModifiedIncompleteCholeskyPreconditioner<T> : Preconditioner<T>

Public NotInheritable Class ModifiedIncompleteCholeskyPreconditioner(Of T)
	Inherits Preconditioner(Of T)

generic<typename T>
public ref class ModifiedIncompleteCholeskyPreconditioner sealed : public Preconditioner<T>

[<SealedAttribute>]
type ModifiedIncompleteCholeskyPreconditioner<'T> = 
    class
        inherit Preconditioner<'T>
    end

Inheritance

Object  →  LinearOperator<T>  →  Preconditioner<T>  →  ModifiedIncompleteCholeskyPreconditioner<T>

Type Parameters

T

The real floating-point scalar type.

Dropped real Schur off-diagonal entries are added to both incident diagonals. Without equilibration, the preconditioner and shifted input agree on the constant vector, up to rounding. With equilibration, this property holds in scaled coordinates. The logical nonzero lower pattern is retained; stored zeros are not reservations.

Successful factors define a positive definite preconditioner, which does not certify the input as positive definite. Modified IC can break down even for positive definite matrices. Shifts and ordering are explicit options.

The source is retained for Refresh() and never modified. Applications accept and return original-coordinate vectors. Distinct-destination applications may run concurrently; refresh requires exclusive access.

Reference