A Unified Approach to Global Convergence of Trust Region Methods for Nonsmooth Optimization

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dc.contributor.authorDennis, J.E. Jr.en_US
dc.contributor.authorLi, Shou-Baien_US
dc.contributor.authorTapia, R.A.en_US
dc.date.accessioned2018-06-18T17:29:02Zen_US
dc.date.available2018-06-18T17:29:02Zen_US
dc.date.issued1989-07en_US
dc.date.noteJuly 1989 (Revised April 1990 and July 1993)en_US
dc.description.abstractThis paper investigates the global convergence of trust region (TR) methods for solving nonsmooth minimization problems. For a class of nonsmooth objective functions called regular functions, conditions are found on the TR local models that imply three fundamental convergence properties. These conditions are shown to be satisfied by Fletcher's TR method for solving constrained optimization problems, Powell for solving nonlinear fitting problems, Zhang, Kim & Lasdon's successive linear programming method for solving constrained problems, Duff, Nocedal & Reid's TR method for solving systems of nonlinear equations, and El Hallabi & Tapia's TR method for solving systems of nonlinear equations. Thus our results can be viewed as a unified convergence theory for TR methods for nonsmooth problems.en_US
dc.format.extent41 ppen_US
dc.identifier.citationDennis, J.E. Jr., Li, Shou-Bai and Tapia, R.A.. "A Unified Approach to Global Convergence of Trust Region Methods for Nonsmooth Optimization." (1989) <a href="https://hdl.handle.net/1911/101657">https://hdl.handle.net/1911/101657</a>.en_US
dc.identifier.digitalTR89-05en_US
dc.identifier.urihttps://hdl.handle.net/1911/101657en_US
dc.language.isoengen_US
dc.titleA Unified Approach to Global Convergence of Trust Region Methods for Nonsmooth Optimizationen_US
dc.typeTechnical reporten_US
dc.type.dcmiTexten_US
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