LQDecomposition<T>.Rank Method

Definition

Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23
Returns the numerical rank of the matrix.

Overload List

Rank() Returns the numerical rank of a matrix.
Rank(T) Returns the numerical rank of a matrix using the specified tolerance.

Rank(T)

Returns the numerical rank of a matrix using the specified tolerance.
C#
public override int Rank(
	T tolerance
)

Parameters

tolerance  T
The absolute tolerance used to determine if a matrix component is considered zero.

Return Value

Int32
An integer indicating the numerical rank of the matrix.

Remarks

If tolerance is negative, the default tolerance is used. The default tolerance is equal to the product of the machine precision, the largest dimension of the matrix, and the one-norm of the matrix. The rank is determined by counting the number of diagonal elements of the upper-triangular component of the decomposition whose absolute value is greater than the tolerance.

See Also