Hp50g MES

07092020, 04:03 PM
Post: #1




Hp50g MES
Does anybody know what algorithm is used in the Hp50g Multiple Equation Solver?


07102020, 03:27 AM
(This post was last modified: 07102020 03:30 AM by Joe Horn.)
Post: #2




RE: Hp50g MES
The HP Solve Equation Library Application Card Owner's Manual says on page 169:
"When you solve problems using the MultipleEquation Solver, the application uses the same numeric root finder that's used by the HP Solve application, which is built into the HP 48." I assume that the same is true for the HP 50g. <0ɸ0> Joe 

07102020, 10:44 AM
Post: #3




RE: Hp50g MES
(07102020 03:27 AM)Joe Horn Wrote: The HP Solve Equation Library Application Card Owner's Manual says on page 169: Thanks Joe. Would that then be a non linear equation solver? Like LevenbergMarquardt method? 

07102020, 12:13 PM
Post: #4




RE: Hp50g MES
(07102020 10:44 AM)Tugdual Wrote: Would that then be a non linear equation solver? Like LevenbergMarquardt method? Anybody know? If it's the same as the solver that HP first introduced in the HP34C, then it's a "modified secant iteration method" as explained here by Dr Kahan himself in 1979: https://people.eecs.berkeley.edu/~wkahan...LVEkey.pdf <0ɸ0> Joe 

07102020, 06:35 PM
Post: #5




RE: Hp50g MES
(07102020 12:13 PM)Joe Horn Wrote:(07102020 10:44 AM)Tugdual Wrote: Would that then be a non linear equation solver? Like LevenbergMarquardt method? Thanks for the reading, Joe! 

07102020, 09:07 PM
(This post was last modified: 07102020 09:07 PM by ndzied1.)
Post: #6




RE: Hp50g MES
Not sure if this is what is used in the 50g but here is an HP patent for a multiple equation solver. It seems to be more about the multiple equation part than the solving of each equation.
https://patents.google.com/patent/US5175700 Method and apparatus for solving multiple equations It also references this patent: https://patents.google.com/patent/US4845652A/en Generic equation solver interface for solving mathematical equations Very much wish the Prime will eventually incorporate this type of multiple equation solving. 

07102020, 09:41 PM
Post: #7




RE: Hp50g MES
It sounds like this older topic might be relevant... not my area of expertise but hoping it may be useful: Multiple equation solver for the HP28C (program)


07132020, 04:18 PM
Post: #8




RE: Hp50g MES
Thanks all for the replies.
So to summarize it would be a sort of combination of an algo to try to solve obvious solutions, when only one variable remains and/or a secant method applied to multiple variables, hence something resembling https://en.wikipedia.org/wiki/Broyden%27s_method to expand on mutliple variables. 

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