(38G) 40G: Matrix Power Programme
03-13-2015, 06:11 PM (This post was last modified: 06-15-2017 01:59 PM by Gene.)
Post: #1
 Gerald H Senior Member Posts: 1,459 Joined: May 2014
(38G) 40G: Matrix Power Programme
Edit: Amended to include negative powers.

Edit: Programme slightly more elegant.

Edit: Amended to avoid errors for some powers > 5*10^11.

A lack in the 38G & 40G (not the 40gs) is the inability to find integer powers ≠ 2 or -1 of matrices.

This programme supplies the lack.

Store the matrix to power in M1, enter the integer power on the stack in HOME view & activate the programme.

The powered matrix is recalled as Ans in HOME view & is also stored in M2.

M1 remains unchanged.

Ans►N:
IFTE(N<0,INVERSE(M1),M1)►M3:
ABS(N)►N:
SIZE(M1):
IDENMAT(Ans(1))►M2:
WHILE N
REPEAT
IF
N MOD 2
THEN
M3*M2►M2:
N-1►N:
END:
M3^2►M3:
N/2►N:
END:
M2:
03-15-2015, 04:45 AM
Post: #2
 Francois Lanciault Member Posts: 107 Joined: Dec 2013
RE: HP 38G & 40G: Matrix Power Programme
Thank you Gerald for these programs. Programs for these calculators are few and far between.

François
03-20-2015, 12:58 PM (This post was last modified: 03-20-2015 12:59 PM by Gerald H.)
Post: #3
 Gerald H Senior Member Posts: 1,459 Joined: May 2014
RE: HP 38G & 40G: Matrix Power Programme
(03-15-2015 04:45 AM)Francois Lanciault Wrote:  Thank you Gerald for these programs. Programs for these calculators are few and far between.

François

Thanks for the recognition.

It would be nice if others published their programmes.
03-24-2015, 08:05 AM
Post: #4
 Gerald H Senior Member Posts: 1,459 Joined: May 2014
RE: HP 38G & 40G: Matrix Power (New - Includes Negative Powers) Programme
Just to advise of the latest edit to include negative powers.
03-30-2015, 01:35 PM
Post: #5
 Eddie W. Shore Senior Member Posts: 1,246 Joined: Dec 2013
RE: HP 38G & 40G: Matrix Power (New - Includes Negative Powers) Programme
Much gratitude, Gerald.
05-18-2016, 10:08 AM
Post: #6
 Gerald H Senior Member Posts: 1,459 Joined: May 2014
RE: HP 38G & 40G: Matrix Power Programme
Just to advise of latest edit, avoiding errors for some powers > 5*10^11.
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