From: Jason on
Dear All,

I wanted to ask the following question.

If I have a quadratic optimization problem of the type

min(x) x' Q x

Where Q is symmetric but indefinite (3x3) matrix, and x is column vector of length 3.

Fmincon and quadprog could solve this. However if I wanted to constrain that the first to elements of x, i.e. x1 and x2 lie on a unit circle, in other words:

x1^2+x2^2 = 1

Then how could I rewrite that constrain as either an equality constrain of the type Ax = b or an inequality constrain of the type Ax <= b. Is that even possible?

The only other information about Q that I have, is that it has 2 positive and 1 negative eigenvalues.

Best regards.