Gurobi quadratic matrix expression object. Quadratic matrix expressions are used to build quadratic objective functions and quadratic constraints. They are temporary objects that typically have short lifespans.
You generally build quadratic matrix expressions using overloaded
operators. For example, if
x is an
MVar object and
A is a 2-D
matrix (dense or sparse), then
x @ A @ x and
x @ x
are both MQuadExpr objects.
Most arithmetic operations are support on
including addition and subtraction (e.g.,
expr = x @ A @ x - y @ B @ y), and multiplication by a constant
expr = 2 * x @ A @ y).
The full list of overloaded operators
on MQuadExpr objects
is as follows:
In Python parlance, we've defined the following
Note that the Python matrix multiplication operator (
introduced in Python version 3.5; it isn't available from Python 2.7.
Note that a quadratic matrix expression always produces a scalar
result (a result with shape
(1,)). You can add linear terms
into a quadratic matrix expression, but for the dimensions to be
compatible they must also have shape