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CCA (Computational Convex Analysis) >> opt > opt_ic

opt_ic

Convex operators via optimization (OPT), Inf-convolution

Calling Sequence

[y, argmin] = opt_ic(f1, df1, domf1, f2, df2, domf2, x, output)

Parameters

f1, f2

Univariate functions, continuous but (potentially) nonsmooth.

df1, df2

Univariate functions: derivatives of f1 and f2 (respectively).

domf1, domf2

Domains of functions f1, f2 (set of points where function is finite). Domains are stored as intervals I=[lb,ub] with ub<lb storing an empty set.

x

Vector on which the inf-convolution is evaluated.

output

0: no output, 1: progress bar.

y

The values of the inf-convolution evaluated at each x.

argmin

A point at which the inf-convolution attains its minimum, for each x.

Description

Computes the infimal convolution (a.k.a. epi-addition) of f1 and f2 evaluated on vector x, giving the values y such that

Authors

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