Texas Instruments TI-89 Titanium User Manual page 794

eigVc()
MATH/Matrix menu
squareMatrix
eigVc(
Returns a matrix containing the eigenvectors for a
real or complex
the result corresponds to an eigenvalue. Note that
an eigenvector is not unique; it may be scaled by
any constant factor. The eigenvectors are
normalized, meaning that if V = [x
x 1 2 + x 2 2 + ... + x n 2 = 1
squareMatrix
transformations until the row and column norms are
as close to the same value as possible. The
squareMatrix
form and the eigenvectors are computed via a
Schur factorization.
eigVl()
MATH/Matrix menu
squareMatrix
eigVl(
Returns a list of the eigenvalues of a real or
complex
squareMatrix
squareMatrix
transformations until the row and column norms are
as close to the same value as possible. The
squareMatrix
form and the eigenvalues are computed from the
upper Hessenberg matrix.
Else
See If, page 805.
ElseIf
CATALOG See also If, page 805.
If Boolean expression1
block1
Boolean expression2
ElseIf
block2
©
Boolean expressionN
ElseIf
blockN
EndIf
©
can be used as a program instruction for
ElseIf
program branching.
EndCustm
See Custom, page 779.
EndDlog
See Dialog, page 786.
EndFor
See For, page 798.
EndFunc
See Func, page 799.
EndIf
See If, page 805.
Appendix A: Functions and Instructions
) ⇒
matrix
, where each column in
squareMatrix
, x , ... , x
1 2
is first balanced with similarity
is then reduced to upper Hessenberg
) ⇒
list
.
is first balanced with similarity
is then reduced to upper Hessenberg
Then
Then
Then
In Rectangular complex format mode:
[L1,2,5;3,L6,9;2,L5,7]! m1 ¸
], then:
eigVc(m1) ¸
n
 ë.800...
.767...

.484... .573...+.052...øi

.352... .262...+.096...øi
In Rectangular complex format mode:
[L1,2,5;3,L6,9;2,L5,7]! m1 ¸
eigVl(m1) ¸
{ë4.409... 2.204...+.763...
Program segment:
©
:If choice=1 Then
: Goto option1
: ElseIf choice=2 Then
: Goto option2
: ElseIf choice=3 Then
: Goto option3
: ElseIf choice=4 Then
: Disp "Exiting Program"
: Return
:EndIf
©
 
ë 1
2 5
 
ë 6
3 9
 
ë 5
2 7

.767...

.573...ì.052...øi

.262...ì.096...øi
 
ë 1
2 5
 
ë 6
3 9
 
ë 5
2 7
i
ø
2.204...ì.763... i }
ø
791