Condition Number - Maple Help

Maplets[Examples][LinearAlgebra]

 ConditionNumber
 display a graphical interface to the ConditionNumber function

 Calling Sequence ConditionNumber(M)

Parameters

 M - square Matrix

Description

 • The ConditionNumber(M) calling sequence displays a Maplet application that returns the condition number for the matrix M.
 • A definition of the condition number for a matrix is given in the Maplet application.
 • By using the Norm drop-down box, control the norm used to determine the condition number.
 • By using the Matrix has real values check box, control the algorithm used to calculate the condition number. If the matrix has real entries, a faster algorithm can be used. The default value is determined by using the value of $\mathrm{has}\left(M,I\right)$, which returns true if M has complex entries. That is, it is selected, by default, only if M has no complex entries.
 Note: If Matrix has real values is selected and the matrix has any complex entries, an incorrect result may be returned.
 • By using the Evaluate result check box, control whether the Maplet application returns the condition number for the matrix M or the calling sequence required to calculate the condition number in the worksheet.  The default behavior is to evaluate the result, that is, return the number.
 • The ConditionNumber sample Maplet worksheet demonstrates how to write a Maplet application that functions similarly to the Maplet application displayed by this routine.

Examples

 > $\mathrm{with}\left(\mathrm{Maplets}\left[\mathrm{Examples}\right]\left[\mathrm{LinearAlgebra}\right]\right):$
 > $\mathrm{ConditionNumber}\left(⟨⟨1,3⟩|⟨2,5⟩⟩\right)$