tranlsate a matriciel expression in matlab language

I have the following equation, wich can be writted in matrciel form as :

R= w'C + w'βRm where Rm is a scalar, w C and β are column vector of n elements, this may be expressed as

R= wici + βiRm equation 1

The second equation can be expressed in matriciel form as:

S= w’Σw equation 2 where Σ is (n,n) matrix

and i have a constraint equation 3

I would like to write equations 1, 2 and 3 in matlab expression, i request help for that.

Answer 1

[Torsten]

R = w.'*C + Rm*w.'*beta;
S = w.'*Sigma*w;
eqn3 = sum(w)-1.0;

[tilfani oussama]

this is not a matricial expression of the problem? it is possible to express them analitically, as i will use them in optimization procedure which requires to write objective functions analytically.

[Torsten]

I don't understand what you mean.

obj=@(w) w.'*Sigma*w + w.'*C + Rm*w.'*beta

works. e.g. to define the objective function if Sigma, C, Rm and beta are defined beforehand.