Eigvc Math/Matrix Menu; Eigvl Math/Matrix Menu; Elseif Catalog - Texas Instruments TITANIUM TI-89 User Manual

eigVc()
MATH/Matrix menu
squareMatrix
eigVc(
Returns a matrix containing the eigenvectors for a
real or complex
in 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 ], then:
n
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
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 830.
ElseIf
CATALOG See also If, page 830.
Boolean expression1
If
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 802.
EndDlog
See Dialog, page 810.
EndFor
See For, page 822.
EndFunc
See Func, page 823.
EndIf
See If, page 830.
Appendix A: Functions and Instructions
) ⇒ ⇒ ⇒ ⇒
matrix
, where each column
squareMatrix
is first balanced with similarity
is then reduced to upper Hessenberg
) ⇒ ⇒ ⇒ ⇒
list
.
squareMatrix
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 ¸
, x , ... , eigVc(m1) ¸
1 2
ë.800... .767...


.484... .573...+.052...ø

.352... .262...+.096...ø
In Rectangular complex format mode:
[L1,2,5;3,L6,9;2,L5,7]!m1 ¸
eigVl(m1) ¸
{ë4.409... 2.204...+.763...
2.204...ì.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


3 ë 6 9

2 ë 5 7
.767...


i i
.573...ì.052...ø

i i
.262...ì.096...ø
ë 1 2


3 ë 6 9

2 ë 5 7
i
ø
}
i
ø
5



5



815