In *Second-Order Cone Problems* (SOCP), a linear function is
minimized over the intersection of an affine set and the product of
second-order (quadratic) cones [153,22]. Nonlinear,
convex problem including linear and (convex) quadratic programs are
special cases. SOCP problems are solved by efficient primal-dual
interior-point methods. The number of iterations required to solve a
problem grows at most as the *square root* of the problem size.
A typical number of iterations ranges between 5 and 50, almost
independent of the problem size.

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