HP -15C Advanced Functions Handbook page 159

Section 4: Using Matrix Operations 1 57
Keystrokes Display
(RCL11 MATRIX | [P] 043-45,16,14
[STOll RESULTl 044- 44 26
ED 045- 30 Calculates z
(n + 1)
-z
(
"
}
inD.
|T| | MATRIX 17 046-42,16, 7 Calculates
|T| | MATRIX |1 047-42,16, 1 Sets R
0
= RI = 1 for
viewing C.
|R/S | 048- 31 Displays convergence
parameter.
[GTOje 049- 22 6
Labels used: C, 4, 5, 6, and 7.
Registers used: R
0
, R
1(
and R
2
(eigenvalue).
Matrices used: A (original matrix), B (A — XI), C (z^
n +
*•'), and
To use this program:
1. Press 2 [T|| DIM | I 71T1 to reserve registers RQ, R
1;
and R
2
.
2. Press UJ|USER| to activate User mode.
3. Dimension and enter the elements into matrix A using [JJ
4. Key in the eigenvalue and press [c]. The display shows the
correction parameter ||
Z
^ — z^||/j.
5. Press | R/S| repeatedly until the correction parameter is
negligibly small.
6. Press [ RCL| | " c"| repeatedly to view the components of q^,, the
eigenvector.
Example: For matrix A of the previous example,
A =
0 1 2
1 2 3
2 3 4
calculate the eigenvectors q
1;
q
2
, and q
3
.