Adaptive-BFGS Trust-region Method for Linear Constrained Optimization Problems
Xiaoliang Zhang
Abstract
Xiaoliang Zhang
Abstract
A adaptive-BFGS trust-region method for linear constrained optimization is introduced.Not only the trust-region radius in this method is automatically detemined with first order information,but also combining with the advatage of the BFGS algorithm.Under the certain conditions,the global convergence of the algorithm is proved.
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A adaptive-BFGS trust-region method for linear constrained optimization is introduced.Not only the trust-region radius in this method is automatically detemined with first order information,but also combining with the advatage of the BFGS algorithm.Under the certain conditions,the global convergence of the algorithm is proved.
Key concepts: Broyden–Fletcher–Goldfarb–Shanno algorithm, Trust region, Convergence (economics), Computer science, Mathematical optimization, Order (exchange), RADIUS, Mathematics