For a symmetric matrix with the associated quadratic form is an L-convex function [1,2].Here we consider a quadratic L-convex function:

.In this web application, you can choose the dimension n from 1 to 7.

You can input parameters a

_{ij}and b_{i}in the ranges -5 ≤ a_{ij}≤ 0, 0 < a_{ii}≤ 50 and -100 ≤ b_{i}≤ 100. If the input does not satisfy the condition the unsatisfactory condition turns red.You can also input an initial solution x.

This web application minimizes f(x) using ODICON.

[1] K. Murota (2001): "Discrete Convex Analysis---An Introduction (in Japanese)," Kyoritsu Publishing Company, Tokyo. Section 5.2.

[2] K. Murota (2003): "Discrete Convex Analysis," SIAM. Section 7.3.

Nobuyuki Tsuchimura, Satoko Moriguchi