HP Prime can't solve some nonlinear system of equations

11032019, 03:45 PM
(This post was last modified: 11032019 03:53 PM by rombva.)
Post: #1




HP Prime can't solve some nonlinear system of equations
The HP Prime G2 with last SW version can't solve these systems, but xCas solves it properly excluding example 2):
1) solve([x^2+y^2=a,1/x^2+1/y^2=b],[x,y]) G2 doesn't response while solving it. 2) solve([z^x=x,z^y=y,y^y=x],[x,y,z]) G2 returns a "Bad Argument Value" error. 3) solve([x^2(yz)^2=a,y^2(zx)^2=b,z^2(xy)^2=c],[x,y,z]) G2 returns an empty list []. The last beta emu unexpectedly closes after a few seconds. 4) solve([x^2+y^2=a*x*y*z,y^2+z^2=b*x*y*z,z^2+x^2=c*x*y*z],[x,y,z]) G2 returns only a [0 0 0]. The last beta emu unexpectedly closes after a few seconds. 5) solve([2*(x^2+y^2)=x*y*z,10*(y^2+z^2)=29*x*y*z,5*(z^2+x^2)=13*x*y*z],[x,y,z]) G2 returns an answer with variables x, y and z. 6) solve([4*x*y+x^2+y^2=1,8*x*z+x^2+4*z^2=2,8*y*z+y^2+4*z^2=1],[x,y,z]) G2 returns an answer with variables x, y and z. I discovered that while running some tasks the HP Prime's busy icon doesn't appears on the upper right corner of the screen. 

11042019, 09:43 AM
Post: #2




RE: HP Prime can't solve some nonlinear system of equations
try using fsolve > https://en.hpprime.club/docs/reference/fsolve
and take a look at this wonderful app: SolveSys  Equation Library and Multiple Equations Solver https://www.hpcalc.org/details/7777 https://www.hpmuseum.org/forum/thread7725.html 

11042019, 12:40 PM
Post: #3




RE: HP Prime can't solve some nonlinear system of equations  
11042019, 12:53 PM
Post: #4




RE: HP Prime can't solve some nonlinear system of equations  
11052019, 08:39 AM
Post: #5




RE: HP Prime can't solve some nonlinear system of equations
Will any improvements of Prime's CAS appear in the future update that pertain to the equalization of the possibilities of Prime's CAS with the possibilities of Xcas?


11052019, 04:15 PM
Post: #6




RE: HP Prime can't solve some nonlinear system of equations
Polynomial system solving like in Xcas require advanced algorithms, like rational univariate representation, and these algorithms require a lot of ressources (e.g. Go of RAM, faster CPU), that is the reason why they are not ported on the Prime.


11052019, 10:02 PM
Post: #7




RE: HP Prime can't solve some nonlinear system of equations
What is the minimum requirement RAMCPU_Hz to run Xcas completely?
RPN > https://apaacini.com/ 

11062019, 02:48 AM
Post: #8




RE: HP Prime can't solve some nonlinear system of equations
(11052019 04:15 PM)parisse Wrote: Polynomial system solving like in Xcas require advanced algorithms, like rational univariate representation, and these algorithms require a lot of ressources (e.g. Go of RAM, faster CPU), that is the reason why they are not ported on the Prime. How many Xcas's functions availible on the Prime lose full functionality after their porting to the Prime? 

11062019, 08:37 PM
Post: #9




RE: HP Prime can't solve some nonlinear system of equations
Some fast algorithms for large computations were not ported. Some Xcas commands are not available (3d geometry for example) or disabled (like algebraic extensions of Q: rootof). LGPL or GPLonly code is not available, like GMP+MPFR+MPFI, or PARI/NTL/GSL, or optimization/signalprocessing/graphtheory code by Luka Marohnic.


11072019, 03:02 AM
Post: #10




RE: HP Prime can't solve some nonlinear system of equations
(11062019 08:37 PM)parisse Wrote: Some fast algorithms for large computations were not ported. Some Xcas commands are not available (3d geometry for example) or disabled (like algebraic extensions of Q: rootof). LGPL or GPLonly code is not available, like GMP+MPFR+MPFI, or PARI/NTL/GSL, or optimization/signalprocessing/graphtheory code by Luka Marohnic. Thanks. 

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