Libraries.Compute.MatrixTransform.EigenDecomposition Documentation

An Eigen decomposition is a matrix decomposition of a matrix A into a matrix D and a matrix V such that: If A is symmetric then A = V*D*V^(T) If A is not symmetric then A*V = V*D or A = V*D/V or A = V*D*V^-1 More information on Eigen decomposition can be found at MathWorld or Wikipedia.

Example Code

use Libraries.Compute.Matrix
use Libraries.Compute.MatrixTransform.EigenDecomposition

class Main
    action Main
        Matrix matrix
        matrix:Fill(3, 3, 5.0)
        EigenDecomposition decomp
        decomp:Calculate(matrix)
        output decomp:GetEigenvalues():ToText()
    end
end

Inherits from: Libraries.Language.Object

Actions Documentation

Calculate(Libraries.Compute.Matrix matrix)

precisionEpsilon = 1.0*math:RaiseToPower(10, -p)

Parameters

Compare(Libraries.Language.Object object)

This action compares two object hash codes and returns an integer. The result is larger if this hash code is larger than the object passed as a parameter, smaller, or equal. In this case, -1 means smaller, 0 means equal, and 1 means larger. This action was changed in Quorum 7 to return an integer, instead of a CompareResult object, because the previous implementation was causing efficiency issues.

Parameters

Return

integer: The Compare result, Smaller, Equal, or Larger.

Example

Object o
Object t
integer result = o:Compare(t) //1 (larger), 0 (equal), or -1 (smaller)

Equals(Libraries.Language.Object object)

This action determines if two objects are equal based on their hash code values.

Parameters

Return

boolean: True if the hash codes are equal and false if they are not equal.

Example

use Libraries.Language.Object
use Libraries.Language.Types.Text
Object o
Text t
boolean result = o:Equals(t)

GetEigenvalueMatrix()

Backsubstitute to find vectors of upper triangular form

Return

Libraries.Compute.Matrix:

GetEigenvalues()

number have same sign, there is no risk of overflow

Return

Libraries.Compute.Vector:

GetEigenvectorInverseMatrix()

Return

Libraries.Compute.Matrix

GetEigenvectorMatrix()

Determine the largest main and secondary value in absolute term.

Return

Libraries.Compute.Matrix:

GetEigenvectorTransposedMatrix()

Return

Libraries.Compute.Matrix

GetEigenvectors()

Solve real equations

Return

Libraries.Containers.Array:

GetHashCode()

This action gets the hash code for an object.

Return

integer: The integer hash code of the object.

Example

Object o
integer hash = o:GetHashCode()

Symmetric(boolean symmetric)

Parameters

  • boolean symmetric