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Issues on a 2 - Dimensional Quadratic Sub - Problem and Its Applications in Nonlinear Programming: Trust - Region Methods
by
Roma, Massimo
, Fasano, Giovanni
, Piermarini, Christian
in
Analysis
/ Constraint satisfaction
/ Quadratic programming
/ Tests, problems and exercises
2024
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Issues on a 2 - Dimensional Quadratic Sub - Problem and Its Applications in Nonlinear Programming: Trust - Region Methods
by
Roma, Massimo
, Fasano, Giovanni
, Piermarini, Christian
in
Analysis
/ Constraint satisfaction
/ Quadratic programming
/ Tests, problems and exercises
2024
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Issues on a 2 - Dimensional Quadratic Sub - Problem and Its Applications in Nonlinear Programming: Trust - Region Methods
Journal Article
Issues on a 2 - Dimensional Quadratic Sub - Problem and Its Applications in Nonlinear Programming: Trust - Region Methods
2024
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Overview
This paper analyses the solution of a specific quadratic sub-problem, along with its possible applications, within both constrained and unconstrained Nonlinear Programming frameworks. We give evidence that this sub–problem may appear in a number of Linesearch Based Methods (LBM) schemes, and to some extent it reveals a close analogy with the solution of trust–region sub–problems. Namely, we refer to a two-dimensional structured quadratic problem, where five linear inequality constraints are included. Finally, we detail how to compute an exact global solution of our two-dimensional quadratic sub-problem, exploiting first order Karush-Khun-Tucker (KKT) conditions.
Publisher
MDPI AG
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