B. Curtis Eaves, Willard I. Zangwill
Abstract
This paper introduces a master cutting plane algorithm for nonlinear programming that isolates the points it generates from one another until a solution is achieved. The master algorithm provides a foundation for the study of cutting plane algorithms and directs the way for development of procedures which permit deletion of old cuts.
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This paper introduces a master cutting plane algorithm for nonlinear programming that isolates the points it generates from one another until a solution is achieved. The master algorithm provides a foundation for the study of cutting plane algorithms and directs the way for development of procedures which permit deletion of old cuts.
Key concepts: Cutting-plane method, Plane (geometry), Algorithm, Mathematics, Foundation (evidence), Nonlinear system, Mathematical optimization, Geometry