Solve equations with constraints

Question

Zongo Amara Mohamed Isaac 2019-9-16

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/480574-solve-equations-with-constraints

评论： Zongo Amara Mohamed Isaac 2019-9-23

采纳的回答： Prabhan Purwar

Can you help me solve equation f with the different constraints established?

I can't get the optimal solution:

syms A k q c k;

beta= sym('beta');

q=(A+beta*k)/3;

c=(A+beta*k)/3;

k=(2*A*beta)/(9-2*beta^2);

f= A*q+beta*q*k-q^2-c*q- k^2/2;

solve(f)

if f>=0

if c>=0

if q>=0

if beta >0

if beta-1<=0

if A>0

end

end ;

King regards

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Answer 1

Prabhan Purwar 2019-9-19

2
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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/480574-solve-equations-with-constraints#answer_392619

在 MATLAB Online 中打开

Hi,

Following code represents the working of solve and assume functions to solve equations with conditions.

syms A k q c beta; 
  
q=(A+beta*k)/3; 
c=(A+beta*k)/3; 
k=(2*A*beta)/(9-2*beta^2);  
f= A*q+beta*q*k-q^2-c*q- k^2/2; 
  
%Conditions 
%assume(S >= 0); 
assume(c >= 0); 
assume(q >= 0); 
assume(beta > 0); 
assume(beta <= 1); 
assume(A > 0); 
  
%Solve for beta 
S=solve(f,beta,'ReturnConditions',true); 
  
%disply solution 
S  
  
%beta represents required value in terms of parameters 
%parameters are internal variable created to represent multiple solutions 
%conditions represents the assumed conditions imposed upon equation 