Solve equation many times without for loop

Question

Weiqiang Zhao 2020-10-5

评论： Weiqiang Zhao 2020-10-6

I want to solve a equation without using for loop and I've get this code:

syms y x
x=solve(y==2*x,x);
y=0.1:.1:4;
x=subs(x,y);
double([y;x]');

which is able to solve x from a series of y by the equation

But what about the cummulative distribution function?

syms y x
x=solve(y==normcdf(x),x);
y=0.1:.1:0.9;
x=subs(x,y);
double([y;x]');

I've tried the similar code but it doesn't work.

Is there any other method to solve the cummulative distribution function without for loop ?

Weiqiang Zhao 2020-10-6

This is the simplified model.

The real equation is

which cannot be solved by norminv.

Answer 1

Walter Roberson 2020-10-5

y = 0.1:.1:0.9;
x = norminv(y);
[y;x].'

Weiqiang Zhao 2020-10-6

Thank you for your answer. In fact, my equation is

which cannot be represented by the function norminv.