Solving Implicit function in MATLAB without for loop -

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i experiencing problem , guys might of me.

in matlab, trying solve implicit function, see following:

cp = cpi / (  sqrt(1 - m^2) + (m^2 / (sqrt(1-m^2))) * cpi/2 )

here, know values of both m , cp , want know value of cpi. also, due computational time considerations, avoid using loops in approach.

finally, know not hard solve, example 1 can use ''golden bi-section'' method find answer, not know how code in matlab. know, or has piece of code able solve cpi?

thank guys! appreciated help

this quite done using fzero. if move cp part on rhs, , try find root using fzero, cpi variable, can solve this:

m = 0.4; cp = 3; f = @(cpi) cp - (cpi / (  sqrt(1 - m^2) + (m^2 / (sqrt(1-m^2))) * cpi/2 ));  fzero(f,0) ans =     3.7250

of course, don't need assign anonymous function first, in opinion, makes easier read.


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