Solutions of Inequality Constrained Spline Optimization Problems
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Solutions of Inequality Constrained Spline Optimization Problems
JACK X AVtilrI COLLEGE GRADUATE STL'DIESElectronic Theses and DissertationsGeorgia Southern UniversityDigital Commons(a)Georgia SouthernGraduate Studi Solutions of Inequality Constrained Spline Optimization Problemsies, Jack N. Averitt College ofSummer 2015Solutions of Inequality Constrained Spline Optimization Problems with the Active Set MethodJoshua A. HollowayFollow this and additional works at: https://digitalcoimnons.georgiasouthem.edu/etd 0“ Part of the other Applied Mathematics CommonsRecommended Citat Solutions of Inequality Constrained Spline Optimization ProblemsionHolloway, Joshua A., "Solutions of Inequality Constrained Spline Optimization Problems with the Active Set Method" (2015). Electronic Theses and DiSolutions of Inequality Constrained Spline Optimization Problems
ssertations. 1308.https://digitalcommons.georgiasouthem.edu/etd/1308This thesis (open access) is brought to you for free and open access by the GraduaJACK X AVtilrI COLLEGE GRADUATE STL'DIESElectronic Theses and DissertationsGeorgia Southern UniversityDigital Commons(a)Georgia SouthernGraduate Studi Solutions of Inequality Constrained Spline Optimization Problemsby an authoi-ized administrator of Digital Commons@Georgia Southern. For more information, please contactdigitalcommons@georglasouthem.edu.SOLUTIONS OF INEQUALITY CONSTRAINED SPLINE OPTIMIZATION PROBLEMS WITH THE ACTIVE SET METHODbyJOSHUA HOLLOWAY(Under the Direction of Scott. Kersey)ABSTRACTWe solv Solutions of Inequality Constrained Spline Optimization Problemse the problem of finding a near-inter|X)lant curve, subject to constraints, which minimizes the bending energy of the curve. Using B-splincs as our toSolutions of Inequality Constrained Spline Optimization Problems
ols, we give a brief overview of spline properties and develop several different cases of inequality constrained optimization problems of this type. IJACK X AVtilrI COLLEGE GRADUATE STL'DIESElectronic Theses and DissertationsGeorgia Southern UniversityDigital Commons(a)Georgia SouthernGraduate Studi Solutions of Inequality Constrained Spline Optimization Problemson in finite iterations. Our solution will solve an open problem regarding near-interpolant spline curves. Furthermore, we supplement this with an iterative technique for better choosing data sites so as to further minimize t he bending energy of t he spline curve, offering an easy solut ion to t he Solutions of Inequality Constrained Spline Optimization Problems problem of free data sites.Key Hbrrf.s-: Spline Curve. B-Spline, Constrained Optimization, Quadratic Programming, Active Set. Method2009 MathernalicsSolutions of Inequality Constrained Spline Optimization Problems
Subject Classificalion: 41A15, 65D07, 65K10, 9OC2OSOLUTIONS OF INEQUALITY CONSTR AINED SPLINEOPTIMIZATION PROBLEMS WITH THE ACTIVE SET METHODbyJOSHUAJACK X AVtilrI COLLEGE GRADUATE STL'DIESElectronic Theses and DissertationsGeorgia Southern UniversityDigital Commons(a)Georgia SouthernGraduate Studi Solutions of Inequality Constrained Spline Optimization Problemst for the DegreeMASTER OF SCIENCESTATESBORO, GEORGIA©2015JOSHUA HOLLOWAYAll Bights ReservediiiJACK X AVtilrI COLLEGE GRADUATE STL'DIESElectronic Theses and DissertationsGeorgia Southern UniversityDigital Commons(a)Georgia SouthernGraduate StudiGọi ngay
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