Solving a system of equations.

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Christopher Marlar
Christopher Marlar am 26 Jan. 2016
Kommentiert: Walter Roberson am 3 Feb. 2016
For
and
where
How do I write a code that will take a given x and y value and output an alpha and delta value?
  1 Kommentar
jgg
jgg am 26 Jan. 2016
Do you want a numerical solution or a symbolic solution?

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Antworten (1)

Vineeth Kartha
Vineeth Kartha am 3 Feb. 2016
Hi Christopher,
The following lines of code will do the trick:
>> syms alpha delta
>> solver = @(x,y) solve(x ==alpha / delta^2 , y ==(( (3*alpha*(1+delta)^2) + ( (1+alpha)*(1+alpha*delta^2)))^(0.5))/((1+alpha)^2), alpha, delta,'IgnoreProperties', true);
>> sol = solver(x,y);
Pass the desired values of x and y to the function named "solver". This will return a structure that contains the values of "alpha" and "delta", for the given x and y values.
Refer to the MATLAB documentation of solve for more details.
  2 Kommentare
Christopher Marlar
Christopher Marlar am 3 Feb. 2016
This is what I get as an output when I try to run the solver.
Warning: Possibly spurious solutions.
In symengine
In mupadengine/evalin (line 102)
In mupadengine/feval (line 158)
In solve (line 292)
In Alpha_Delta>@(x,y)solve(x==alpha/delta^2,y==(((3*alpha*(1+delta)^2)+((1+alpha)*(1+alpha*delta^2)))^(0.5))/((1+alpha)^2),alpha,delta,'IgnoreProperties',true)
Walter Roberson
Walter Roberson am 3 Feb. 2016
Your delta is always squared so algebraically both negative and positive values are valid. The message is warning you that multiple solutions have been returned but that they might not all make sense in the overall context.

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