**The full form of QMC is Quadratic Matrix Constraint.**

In mathematical optimization, a **quadratically constrained quadratic program** (**QCQP**) is an optimization problem in which both the objective function and the constraints are quadratic functions. It has the form

where *P*_{0}, …, *P*_{m} are *n*-by-*n* matrices and *x* ∈ **R**^{n} is the optimization variable.

If *P*_{0}, …, *P*_{m} are all positive semidefinite, then the problem is convex. If these matrices are neither positive nor negative semidefinite, the problem is non-convex. If *P*_{1}, … ,*P*_{m} are all zero, then the constraints are in fact linear and the problem is a quadratic program.

QMC

means

Quadratic Matrix Constraint

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