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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

- Yves Lucet, University of British Columbia, BC, Canada

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