Pseudo-Separable L-Convex Minimization

For a finite set V={1,2,...,n} and a family of univariate discrete convex functions and indexed by and , the function defined by

is an L-convex function [1,2].

Here we consider the following L-convex functions:

• quadratic pseudo-separable L-convex function:
• quartic pseudo-separable L-convex function:
• exponential pseudo-separable L-convex function:
• absolute pseudo-separable L-convex function:

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This web application minimizes f(x) using ODICON.

[1] K. Murota (2001): "Discrete Convex Analysis---An Introduction (in Japanese)," Kyoritsu Publishing Company, Tokyo. Section 4.3.

[2] K. Murota (2003): "Discrete Convex Analysis," SIAM. Section 6.3.