EigenVector(Array, Variable, Variable, Array, Array) Function

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Description

Calculate the eigen vectors and eigen values of a numRows by numCols matrix rowMajorSymMatrix. The eigen vectors are stored in eigenVectors. The eigen values are stored in eigenValues.

 

This function has been Deprecated. Please use Matrix.EigenDecomposition(Matrix,Matrix) instead.

 

Timing Precision Mode

This page describes functionality in millisecond timing precision mode.

 

Function Signature

EigenVector(

Array rowMajorSymMatrix,

Variable numRows,

Variable numCols,

Array eigenVectors,

Array eigenValues)

 

 

Arguments

rowMajorSymMatrix

Description:

A row-major symmetric matrix.

 

 

numRows

Description:

The number of rows in the matrix.

Valid Range:

numRows > 0

 

 

numCols

Description:

The number of columns in the matrix.

Valid Range:

numCols > 0

 

 

eigenVectors

Description:

The array to store the calculated eigen vectors.

 

 

eigenValues

Description:

Array to hold the calculated eigen values.

 

 

 

Return Value

Type:

number

 

 

Returns number of unique eigen vectors.

 

Syntax

myVariable1 = EigenVector(myArray1, myVariable2, myVariable3, myArray2, myArray3);

 

 

Example 1

This example calculates the Eigen vectors and Eigen values of the Spacecraft's attitude. Note: SymmetricMatrix and EigenVecs are 9-element arrays in this example, and EigenVals is a 3-element array.

 

Array SymmetricMatrix[9];

Array EigenVecs[9];

Array EigenVals[3];

 

SymmetricMatrix = {Spacecraft1.AttitudeMatrix11,

                  Spacecraft1.AttitudeMatrix12,

                  Spacecraft1.AttitudeMatrix13,

                  Spacecraft1.AttitudeMatrix21,

                  Spacecraft1.AttitudeMatrix22,

                  Spacecraft1.AttitudeMatrix23,

                  Spacecraft1.AttitudeMatrix31,

                  Spacecraft1.AttitudeMatrix32,

                  Spacecraft1.AttitudeMatrix33};

 

Variable numEigenVecs = EigenVector(SymmetricMatrix, 3, 3, EigenVecs, EigenVals);

 

Report SymmetricMatrix, numEigenVecs, EigenVecs, EigenVals;

 

 

Output:

 

SymmetricMatrix

{0.239154924, 0.968353162, 0.071393805,

-0.804101914, 0.156301579, 0.573576436,

0.544265592, -0.194581524, 0.816034923}

numEigenVecs

3.000000000

EigenVecs

{-0.636989681, 0.737108187, -0.225645004,

0.572216989, 0.255987245, -0.779126593,

0.516538347, 0.625413505, 0.584847060}

EigenVals

{-0.856108326, 0.575148524, 1.492451228}

 

 

 

See also

EigenVector