Trilinear Monomials with Positive or Negative Domains: Facets of the Convex and Concave Envelopes

By C. A. Meyer, Christodoulos A. Floudas. 2004

73 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/d867a5c58aff92d66b930bdb7c699190eb32d0a5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Chrysanthos E. Gounaris
2. Christodoulos A. Floudas
3. John L. Klepeis

In Numerical Analysis

1. Christodoulos A. Floudas
2. Chrysanthos E. Gounaris
3. Ruth Misener

Citations in the corpus

• A review of recent advances in global optimization (2009, background): “In a later publication (Meyer and Floudas 2004), they presented the results for the case of mixed-sign domains.”
• A Flexible Mixed-Integer Linear Programming Approach to the AC Optimal Power Flow in Distribution Systems (2014, background): “Before moving on to the next chapter, it is worth briefly mentioning that analytical expressions for convex envelopes for trilinear and quadrilinear terms (respectively, products of three and four continuous decisions variables) have been proposed in the technical literature [82], [83].”
• ANTIGONE: Algorithms for coNTinuous / Integer Global Optimization of Nonlinear Equations (2014, unknown): “, [32, 61, 71, 72, 83, 86, 89, 91, 93, 94, 98–100, 116, 129, 132–136, 139]).”
• GloMIQO: Global mixed-integer quadratic optimizer (2012, unknown): “…butmanytighterrelaxationshavebeendevelopedbasedon:polyhedralfacetsofedge-concavemultivariabletermaggregations[17,26,34,94–96,99, 111 InterestingbranchingstrategiessuitableforMIQCQPincludesimpleheuristicstrategies…”