Texas Instruments TI-89 User Manual - Page 815
eigVc, ElseIf, EndCustm, EndDlog, EndFor, EndFunc, EndIf, form and the eigenvectors are computed via
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eigVc( ) MATH/Matrix menu eigVc(squareMatrix) ⇒ matrix In Rectangular complex format mode: Returns a matrix containing the eigenvectors for a [L1,2,5;3,L6,9;2,L5,7]!m1 ¸ real or complex squareMatrix, where each column in the result corresponds to an eigenvalue. Note that an eigenvector is not unique; it may be scaled by any constant factor. The eigenvectors ë3 1 2 ë6 95 2 ë 5 7 are normalized, meaning that if V = [x1, x2, ... , xn], then: x1 2 + x2 2 + ... + xn 2 = 1 eigVc(m1) ¸ ë.800... .767... .767... .484... .573...+.052...øi .573...ì.052...øi 352... .262...+.096...øi .262...ì.096...øi squareMatrix is first balanced with similarity transformations until the row and column norms are as close to the same value as possible. The squareMatrix is then reduced to upper Hessenberg form and the eigenvectors are computed via a Schur factorization. eigVl( ) MATH/Matrix menu eigVl(squareMatrix) ⇒ list Returns a list of the eigenvalues of a real or complex squareMatrix. squareMatrix is first balanced with similarity transformations until the row and column norms are as close to the same value as possible. The squareMatrix is then reduced to upper Hessenberg form and the eigenvalues are computed from the upper Hessenberg matrix. In Rectangular complex format mode: [L1,2,5;3,L6,9;2,L5,7]!m1 ¸ ë3 1 2 ë6 95 2 ë 5 7 eigVl(m1) ¸ {ë4.409... 2.204...+.763...øi 2.204...ì.763...øi} Else See If, page 830. ElseIf CATALOG See also If, page 830. If Boolean expression1 Then block1 ElseIf Boolean expression2 Then block2 © ElseIf Boolean expressionN Then blockN EndIf © ElseIf can be used as a program instruction for program branching. EndCustm See Custom, page 802. 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 © 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 815