Solving piecewise linear equations in abs-normal form

Published: 2013/12/30

Nonsmooth Optimization coherent orientation, generalized jacobian, linear complementarity problems, semismooth newton, sign real spectral radius, switching depth, unfolded system Short URL: https://optimization-online.org/?p=12707

With the ultimate goal of iteratively solving piecewise smooth (PS) systems, we consider the solution of piecewise linear (PL) equations. PL models can be derived in the fashion of automatic or algorithmic differentiation as local approximations of PS functions with a second order error in the distance to a given reference point. The resulting PL functions are obtained quite naturally in what we call the abs-normal form.~

Solving piecewise linear equations in abs-normal form

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