HP HP-15C - Calculating the Residual

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 R0 = 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: R0, R1( and R2 (eigenvalue).
Matrices used: A (original matrix), B (A — XI), C (z^n + *•'), and
To use this program:
1. Press 2 [T|| DIM |I71T1 to reserve registers RQ, R1; and R2.
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
234
calculate the eigenvectors q1; q2, and q3.