# eig (MathScript RT Module Function)

LabVIEW 2012 MathScript RT Module Help

Edition Date: June 2012

Part Number: 373123C-01

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Owning Class: linalgebra

Requires: MathScript RT Module

## Syntax

ev = eig(a)

ev = eig(a, b)

[evec, evdiag] = eig(a)

[evec, evdiag] = eig(a, b)

## Description

Computes the eigenvalues and eigenvectors for real or complex square matrices. eig(a) solves the standard problem ax = lambda*x. eig(a, b) solves the general problem ax = lambda*bx.

Details

Examples

## Inputs

Name Description
a Specifies a square matrix whose dependent matrices also are square.
b Specifies a matrix of the same size as a. If you specify b, LabVIEW calls the qz function.

## Outputs

Name Description
ev Returns the eigenvalues of a or the generalized eigenvalues of a and b. ev is a vector.
evec Returns a square matrix whose columns are the normalized eigenvectors of a or the normalized generalized eigenvectors of a and b.
evdiag Returns a matrix of the same type as a with the elements of ev on the diagonal.

## Details

LabVIEW does not solve for the off-diagonal Jordan structure associated with repeated roots. If repeated roots to eig(a) or eig(a, b) exist, LabVIEW might artificially ill-condition evec.

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

% Eigenvalues
A = [2, -1; 11, 4]
C = eig(A)
% Compute generalized eigenvalues and check results
B = [3, 2; -9, -1]
[EVEC, EVDIAG] = eig(A, B)

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