# polyeign (MathScript RT Module Function)

LabVIEW 2012 MathScript RT Module Help

Edition Date: June 2012

Part Number: 373123C-01

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Owning Class: polynomials

Requires: MathScript RT Module

## Syntax

[x, eig] = polyeign(a0, a1, ... , an)

Legacy Name: `polyeig`

## Description

Solves the polynomial eigenvalue problem of degree n: (a0+lambda*a1+...+lambda^n*an)*x = 0. You can specify an unlimited number of input matrices. All matrices must be square and of the same size.

Examples

## Inputs

Name Description
a0 Specifies a real or complex square matrix.
a1 Specifies a real or complex square matrix of the same size as a0.
an Specifies a real or complex square matrix of the same size as a0.

## Outputs

Name Description
x Returns a matrix whose columns represent the eigenvectors of the input matrices.
eig Returns the eigenvalues of the input matrices. eig is a vector.

## Details

The following table lists the support characteristics of this function.

 Supported in the LabVIEW Run-Time Engine Yes Supported on RT targets Yes Suitable for bounded execution times on RT Not characterized

## Examples

A0 = [1, 2; 3, 4]
A1 = [2, 1; 1, 0]
A2 = [-1, -1; 0, 2]
[X, EIG] = polyeign(A0, A1, A2)