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This tutorial is the first comprehensive introduction to (possibly
infinite) linear systems containing strict inequalities and evenly
convex sets. The book introduces their application to convex
optimization. Particular attention is paid to evenly convex
polyhedra and finite linear systems containing strict inequalities.
The book also analyzes evenly convex and quasiconvex functions from
a conjugacy and duality perspective. It discusses the applications
of these functions in economics. Written in an expository style the
main concepts and basic results are illustrated with suitable
examples and figures..
This tutorial is the first comprehensive introduction to (possibly
infinite) linear systems containing strict inequalities and evenly
convex sets. The book introduces their application to convex
optimization. Particular attention is paid to evenly convex
polyhedra and finite linear systems containing strict inequalities.
The book also analyzes evenly convex and quasiconvex functions from
a conjugacy and duality perspective. It discusses the applications
of these functions in economics. Written in an expository style the
main concepts and basic results are illustrated with suitable
examples and figures..
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