Matrix square root and Cholesky factorization

Hello i would like to find the square root of a symmetric and positive definite matrix. If i use chol (Cholesky factorization), the upper triangular matrix can be used as the original matrix square root or i need to do some more passages?

Thanks in advance

[Torsten]

What do you want to hold ?

If you want S'*S = M, use chol(M), if you want S*S=M, use sqrtm(M).

[Andrea Tantucci]

What i want to know is if S s.t. S'S = M, can be used as the square root of the matrix M, since i've red a lot of stuff on the internet and i didn't really understand

[Torsten]

The usual square root S of a matrix M is a matrix with S*S=M, and you get this S via S = sqrtm(M).

If you want to define a matrix S with S'*S = M as the square root of M, you can do this. Then S = chol(M).

It's your decision.

[Andrea Tantucci]

Ok i understand, thank you very much