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11 
Resolution of Ties in Parametric Quadratic ProgrammingWang, Xianzhi January 2004 (has links)
We consider the convex parametric quadratic programming problem when the end of the parametric interval is caused by a multiplicity of possibilities ("ties"). In such cases, there is no clear way for the proper active set to be determined for the parametric analysis to continue. In this thesis, we show that the proper active set may be determined in general by solving a certain nonparametric quadratic programming problem. We simplify the parametric quadratic programming problem with a parameter both in the linear part of the objective function and in the righthand side of the constraints to a quadratic programming without a parameter. We break the analysis into three parts. We first study the parametric quadratic programming problem with a parameter only in the linear part of the objective function, and then a parameter only in the righthand side of the constraints. Each of these special cases is transformed into a quadratic programming problem having no parameters. A similar approach is then applied to the parametric quadratic programming problem having a parameter both in the linear part of the objective function and in the righthand side of the constraints.

12 
Barrier function algorithms for linear and convex quadratic programmingBen Daya, Mohamed 12 1900 (has links)
No description available.

13 
Use of linear quadratic and quadratic programming methods in modelbased process control /Cheng, ChunMin. January 1986 (has links)
Thesis (Ph. D.)University of Washington, 1986. / Vita. Bibliography: leaves [164]168.

14 
Algorithms for the solution of the quadratic programming problemVankova, Martina January 2004 (has links)
The purpose of this dissertation was to provide a review of the theory of Optimization, in particular quadratic programming, and the algorithms suitable for solving both convex and nonconvex quadratic programming problems. Optimization problems arise in a wide variety of fields and many can be effectively modeled with linear equations. However, there are problems for which linear models are not sufficient thus creating a need for nonlinear systems. This dissertation includes a literature study of the formal theory necessary for understanding optimization and an investigation of the algorithms available for solving a special class of the nonlinear programming problem, namely the quadratic programming problem. It was not the intention of this dissertation to discuss all possible algorithms for solving the quadratic programming problem, therefore certain algorithms for convex and nonconvex quadratic programming problems were selected for a detailed discussion in the dissertation. Some of the algorithms were selected arbitrarily, because limited information was available comparing the efficiency of the various algorithms. Algorithms available for solving general nonlinear programming problems were also included and briefly discussed as they can be used to solve quadratic programming problems. A number of algorithms were then selected for evaluation, depending on the frequency of use in practice and the availability of software implementing these algorithms. The evaluation included a theoretical and quantitative comparison of the algorithms. The quantitative results were analyzed and discussed and it was shown that the results supported the theoretical comparison. It was also shown that it is difficult to conclude that one algorithm is better than another as the efficiency of an algorithm greatly depends on the size of the problem, the complexity of an algorithm and many other implementation issues. Optimization problems arise continuously in a wide range of fields and thus create the need for effective methods of solving them. This dissertation provides the fundamental theory necessary for the understanding of optimization problems, with particular reference to quadratic programming problems and the algorithms that solve such problems. Keywords: Quadratic Programming, Quadratic Programming Algorithms, Optimization, Nonlinear Programming, Convex, Nonconvex.

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Continuoustime recurrent neural networks for quadratic programming: theory and engineering applications.January 2005 (has links)
Liu Shubao. / Thesis (M.Phil.)Chinese University of Hong Kong, 2005. / Includes bibliographical references (leaves 9098). / Abstracts in English and Chinese. / Abstract  p.i / 摘要  p.iii / Acknowledgement  p.iv / Chapter 1  Introduction  p.1 / Chapter 1.1  TimeVarying Quadratic Optimization  p.1 / Chapter 1.2  Recurrent Neural Networks  p.3 / Chapter 1.2.1  From Feedforward to Recurrent Networks  p.3 / Chapter 1.2.2  Computational Power and Complexity  p.6 / Chapter 1.2.3  Implementation Issues  p.7 / Chapter 1.3  Thesis Organization  p.9 / Chapter I  Theory and Models  p.11 / Chapter 2  Linearly Constrained QP  p.13 / Chapter 2.1  Model Description  p.14 / Chapter 2.2  Convergence Analysis  p.17 / Chapter 3  Quadratically Constrained QP  p.26 / Chapter 3.1  Problem Formulation  p.26 / Chapter 3.2  Model Description  p.27 / Chapter 3.2.1  Model 1 (Dual Model)  p.28 / Chapter 3.2.2  Model 2 (Improved Dual Model)  p.28 / Chapter II  Engineering Applications  p.29 / Chapter 4  KWTA Network Circuit Design  p.31 / Chapter 4.1  Introduction  p.31 / Chapter 4.2  Equivalent Reformulation  p.32 / Chapter 4.3  KWTA Network Model  p.36 / Chapter 4.4  Simulation Results  p.40 / Chapter 4.5  Conclusions  p.40 / Chapter 5  Dynamic Control of Manipulators  p.43 / Chapter 5.1  Introduction  p.43 / Chapter 5.2  Problem Formulation  p.44 / Chapter 5.3  Simplified Dual Neural Network  p.47 / Chapter 5.4  Simulation Results  p.51 / Chapter 5.5  Concluding Remarks  p.55 / Chapter 6  Robot Arm Obstacle Avoidance  p.56 / Chapter 6.1  Introduction  p.56 / Chapter 6.2  Obstacle Avoidance Scheme  p.58 / Chapter 6.2.1  Equality Constrained Formulation  p.58 / Chapter 6.2.2  Inequality Constrained Formulation  p.60 / Chapter 6.3  Simplified Dual Neural Network Model  p.64 / Chapter 6.3.1  Existing Approaches  p.64 / Chapter 6.3.2  Model Derivation  p.65 / Chapter 6.3.3  Convergence Analysis  p.67 / Chapter 6.3.4  Model Comparision  p.69 / Chapter 6.4  Simulation Results  p.70 / Chapter 6.5  Concluding Remarks  p.71 / Chapter 7  Multiuser Detection  p.77 / Chapter 7.1  Introduction  p.77 / Chapter 7.2  Problem Formulation  p.78 / Chapter 7.3  Neural Network Architecture  p.82 / Chapter 7.4  Simulation Results  p.84 / Chapter 8  Conclusions and Future Works  p.88 / Chapter 8.1  Concluding Remarks  p.88 / Chapter 8.2  Future Prospects  p.88 / Bibliography  p.89

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Quadratic 01 programming: geometric methods and duality analysis. / CUHK electronic theses & dissertations collectionJanuary 2008 (has links)
In part I of this dissertation, certain rich geometric properties hidden behind quadratic 01 programming are investigated. Especially, we derive new lower bounding methods and variable fixation techniques for quadratic 01 optimization problems by investigating geometric features of the ellipse contour of a (perturbed) convex quadratic function. These findings further lead to some new optimality conditions for quadratic 01 programming. Integrating these novel solution schemes into a proposed solution algorithm of a branchandbound type, we obtain promising preliminary computational results. / In part II of this dissertation, we present new results of the duality gap between the binary quadratic optimization problem and its Lagrangian dual. We first derive a necessary and sufficient condition for the zero duality gap and discuss its relationship with the polynomial solvability of the problem. We then characterize the zeroness of duality gap by the distance, delta, between the binary set and certain affine space C. Finally, we discuss a computational procedure of the distance delta. These results provide new insights into the duality gap and polynomial solvability of binary quadratic optimization problems. / The unconstraint quadratic binary problem (UBQP), as a classical combinatorial problem, finds wide applications in broad field and human activities including engineering, science, finance, etc. The NPhardness of the combinatorial problems makes a great challenge to solve the ( UBQP). The main purpose of this research is to develop high performance solution method for solving (UBQP) via the geometric properties of the objective ellipse contour and the optimal solution. This research makes several contributions to advance the stateoftheart of geometric approach of (UBQP). These contributions include both theoretical and numerical aspects as stated below. / Liu, Chunli. / Adviser: Duan Li. / Source: Dissertation Abstracts International, Volume: 7006, Section: B, page: 3764. / Thesis (Ph.D.)Chinese University of Hong Kong, 2008. / Includes bibliographical references (leaves 140153). / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Electronic reproduction. [Ann Arbor, MI] : ProQuest Information and Learning, [200] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Abstracts in English and Chinese. / School code: 1307.

17 
Clock Distribution Network Optimization by Sequential Quadratic ProgramingMekala, Venkata 2010 May 1900 (has links)
Clock mesh is widely used in microprocessor designs for achieving low clock
skew and high process variation tolerance. Clock mesh optimization is a very diffcult
problem to solve because it has a highly connected structure and requires accurate
delay models which are computationally expensive.
Existing methods on clock network optimization are either restricted to clock
trees, which are easy to be separated into smaller problems, or naive heuristics based
on crude delay models.
A clock mesh sizing algorithm, which is aimed to minimize total mesh wire area
with consideration of clock skew constraints, has been proposed in this research work.
This algorithm is a systematic solution search through rigorous Sequential Quadratic
Programming (SQP). The SQP is guided by an efficient adjoint sensitivity analysis
which has nearSPICE(Simulation Program for Integrated Circuits Emphasis)level
accuracy and fasterthanSPICE speed.
Experimental results on various benchmark circuits indicate that this algorithm
leads to substantial wire area reduction while maintaining low clock skew in the clock
mesh. The reduction in mesh area achieved is about 33%.

18 
Cancer treatment optimizationCha, Kyungduck. January 2008 (has links)
Thesis (Ph. D.)Industrial and Systems Engineering, Georgia Institute of Technology, 2008. / Committee Chair: Lee, Eva K.; Committee Member: Barnes, Earl; Committee Member: Hertel, Nolan E.; Committee Member: Johnson, Ellis; Committee Member: Monteiro, Renato D.C.

19 
Quadratic programming algorithms, anomalies [and] applications.Boot, John C. G., January 1964 (has links)
ProefschriftNederlandsche Economische Hoogeschool, Rotterdam. / "Stellingen": [4] p. inserted.

20 
Quadratic programming algorithms, anomalies [and] applications.Boot, John C. G., January 1964 (has links)
ProefschriftNederlandsche Economische Hoogeschool, Rotterdam. / "Stellingen": [4] p. inserted.

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