Convex integer nonlinear programming

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Convex nonlinear programming refers to optimization problems of the form:

minimize f(\mathbf{x})
with respect to \mathbf{x}
subject to \mathbf{g(x) \leq 0}
\mathbf{h(x)=0}
\mathbf{x}\in\mathcal{Z}^n

where f(\mathbf{x}) and \mathbf{g(x)} are convex functions of the vector \mathbf{x}, \mathbf{h(x)} is an affine function of the vector \mathbf{x}, n is a positive integer, and \mathcal{Z} is the set of integers.

Contents

Theory

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Methods


Software


References

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