How to solve for a vector in an equation with vectors?

Question

Quincey Jones 2020-2-10

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/504642-how-to-solve-for-a-vector-in-an-equation-with-vectors

function[v,Z] = Ideal_Gas_Law(R,T,P,Tc,Pc)
format short
% Version 1: created 24/04/19. Author: Paul Curran
% Version 2: created 06/02/20. Author: Savana Stewart
Iteration_limit= 20;  % maximum number of iterations permitted
Tolerance=10^-7;     % maximum acceptable value for modulus of
                       % function evaluated at estimated root
R = 0.082057
T = 293  
P = [1,1.5,2,2.5,3,5,10,15,25,50,100]
Tc = 416.90
Pc = 78.72918
a = ((R^2)*(Tc^(5/2)))/(9*Pc*(2^(1/3)-1))
b = (R*Tc*(2^(1/3)-1))/(3*Pc)
A = (a*P)/((R^2)*(T^(5/2)))
B = (b*P)/(R*T)
syms Z
eqn = (Z.^3) - (Z.^2) + (A-B-(B.^2)).*Z - (A.*B) == 0
solZ = solve(eqn,Z)
Z
syms v
eqn2 = (v/(v - b)) - (a/(R*(T^(3/2))*(v+b))) == Z
solv = solve(eqn2,v)
%fprintf('%d\n',v)
%if Pv_RT1 == Pv_RT2
%    fprintf('The two forms of the equations given are equivalent');
%else
 %   fprintf('not equal')
  %  return
end

I am trying to find numerical values for Z to then plug into eqn2 to solve for v. I am having trouble solving for Z. What am I doing wrong? Please keep in mind I am a Matlab beginner.

Is there a way to use Regula-Falsi or the Newton-Raphson algorithm to do this?