Recent content by biomedicalhat

Hotvette, That might work if the search space didn't contain multiple minimas, which are introduced by the different functions?

Chiro, I meant, that I could get "one" solution for every individual equation.. This solution would not possible satisfy all the other equations' constrains..

I tried some online GIAC code that I found online for the basic Wu elimination. It worked fine for "nice" input polynomials, like those found in papers. As for my problem, it took an extensive amount of time, then the output equations were unfeasible, like they would lead to complex results...

I basically want to solve the equations to get the variable values. Each variable represents the parameter t of a line parametric equation, so they should all lie between 0-1. Furthermore, physical constrains limit the range more to between 0.6-0.95, and the number of equations demand that there...

Stephan, I got these equations from Euclidean distance relationships.. an equation I got looks like that: 10520.364253 x^2 -21072.026517 xy + 10551.148164 y^2 = 52.61719 Do you think it is still feasible to use Buchberger's, with floating point errors? Maybe introducing error tolerance?

AlephZero, your answer makes sense, but I made a mistake not mentioning that the a, b,c,d constants are unique for every equation, like they are: a1x^2 -b1xy + c1y^2 = d1 a2x^2 -b2xz + c2z^2 = d2 so subtracting the equations wouldn't probably cancel out terms

My final goal, is to implement the solution method within my own code. The code currently generated the quadratic equations, and it needs to solve them, and take the results for further processing. I used Matlab to implement the method described in your Maple video. I was able to simplify the...

It is a real life problem.. I am a graduate engineering student, and I am trying to solve this problem as part of my research work. Thanks for suggesting Buchberger's Algorithm :) By overkill, do you mean it is computationally expensive, or does it need extensive manual formulation labor...

Hey, I have a set of quadratic equations in the form of: ax^2 -bxy + cy^2 = d ax^2 -bxz + cz^2 = d ay^2 -byz + cz^2 = d where a,b,c,d are given constants. I am really stuck trying to figure out the values of x,y,z :confused: My previous trial, was attempting to solve it as a...