Returns the numerical rank of a matrix using the specified tolerance.

Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics (Extreme.Numerics)

Syntax

Visual Basic (Declaration)
Public MustOverride Function Rank ( _ tolerance As Double _ ) As Integer

C#
public abstract int Rank ( double tolerance )

C++
public: virtual int Rank ( double tolerance ) abstract

Parameters

tolerance (System.Double): The absolute tolerance used to determine if a matrix component is considered zero.

Return Value

An integer indicating the numerical rank of the matrix.

Remarks

The method that is used to determine the rank, as well as the exact meaning of the tolerance, depend on the implementation. The tolerance is always relative to some norm of the matrix.