Spelling suggestions: "subject:"inequalities (mathematics)"" "subject:"inequalities (amathematics)""
21 
Inequalities for vibration and buckling of a clamped plate /McHale, Kimberley Paige Perry, January 1997 (has links)
Thesis (Ph. D.)University of MissouriColumbia, 1997. / Typescript. Vita. Includes bibliographical references (leaves 6364). Also available on the Internet.

22 
Inequalities for vibration and buckling of a clamped plateMcHale, Kimberley Paige Perry, January 1997 (has links)
Thesis (Ph. D.)University of MissouriColumbia, 1997. / Typescript. Vita. Includes bibliographical references (leaves 6364). Also available on the Internet.

23 
Error bounds for an inequality systemWu, Zili 23 October 2018 (has links)
For an inequality system, an error bound is an estimation for the distance from
any point to the solution set of the inequality. The Ekeland variational principle
(EVP) is an important tool in the study of error bounds. We prove that EVP is
equivalent to an error bound result and present several sufficient conditions for an
inequality system to have error bounds. In a metric space, a condition is similar to
that of Takahashi. In a Banach space we express conditions in terms of an abstract
subdifferential and the lower Dini derivative. We then discuss error bounds with
exponents by a relation between the lower Dini derivatives of a function and its
power function. For an l.s.c. convex function on a reflexive Banach space these
conditions turn out to be equivalent. Furthermore a global error bound closely
relates to the metric regularity. / Graduate

24 
Some limit theorems and inequalities for weighted and nonidentically distributed empirical processesAlexander, Kenneth S January 1982 (has links)
Thesis (Ph.D.)Massachusetts Institute of Technology, Dept. of Mathematics, 1982. / MICROFICHE COPY AVAILABLE IN ARCHIVES AND SCIENCE / Vita. / Bibliography: leaves 135137. / by Kenneth Sidney Alexander. / Ph.D.

25 
Blowup rate control for solution of Jang's equation and its application on Penrose inequalityYu, Wenhua January 2019 (has links)
We prove that the blowup term of a blowup solution of Jang's equation on an initial data set (M,g,k) near an arbitrary strictly stable MOTS Σ is exactly −1/√λlog τ, where τ is the distance from Σ and λ is the principal eigenvalue of the MOTS stability operator of Σ. We also prove that the gradient of the solution is of order τ^(1). Moreover, we apply these results to get a Penroselike inequality under additional assumptions.

26 
On merit functions and error bounds for variational inequality problem.January 2004 (has links)
Li GuoYin. / Thesis (M.Phil.)Chinese University of Hong Kong, 2004. / Includes bibliographical references (leaves 105107). / Abstracts in English and Chinese. / Chapter 1  Introduction  p.1 / Chapter 1.1  Examples for the variational inequality problem  p.2 / Chapter 1.2  Approaches for variational inequality problem  p.7 / Chapter 1.3  Error bounds results for variational inequality problem  p.8 / Chapter 1.4  Organization  p.9 / Chapter 2  Solution Theory  p.11 / Chapter 2.1  "Elementary Convex Analysis, Nonsmooth Analysis and Degree theory"  p.11 / Chapter 2.1.1  Elementary Convex Analysis  p.11 / Chapter 2.1.2  Elementary Nonsmooth Analysis  p.16 / Chapter 2.1.3  Degree Theory  p.18 / Chapter 2.2  Existence and Uniqueness Theory  p.24 / Chapter 3  Merit Functions for variational inequalities problem  p.36 / Chapter 3.1  Regularized gap function  p.38 / Chapter 3.2  Dgap function  p.44 / Chapter 3.3  Generalized Regularize gap function and Generalized Dgap function  p.61 / Chapter 4  Error bound results for the merit functions  p.74 / Chapter 4.1  Error bound results for Regularized gap function  p.77 / Chapter 4.2  Error bound results for Dgap function  p.78 / Chapter 4.3  Error bound results for Generalized Regularized gap function  p.92 / Chapter 4.4  Error bound results for Generalized Dgap function  p.93 / Bibliography  p.105

27 
Error bounds for set inclusions and inequality systems. / CUHK electronic theses & dissertations collection / Digital dissertation consortiumJanuary 2002 (has links)
Zheng Xi Yin. / "December 2002." / Thesis (Ph.D.)Chinese University of Hong Kong, 2002. / Includes bibliographical references (p. 117121). / 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 Company, [200] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Mode of access: World Wide Web. / Abstracts in English and Chinese.

28 
Solving variational inequalities and related problems using recurrent neural networks. / CUHK electronic theses & dissertations collectionJanuary 2007 (has links)
During the past two decades, numerous recurrent neural networks (RNNs) have been proposed for solving VIs and related problems. However, first, the theories of many emerging RNNs have not been well founded yet; and their capabilities have been underestimated. Second, these RNNs have limitations in handling some types of problems. Third, it is certainly not true that these RNNs are best choices for solving all problems, and new network models with more favorable characteristics could be devised for solving specific problems. / In the research, the above issues are extensively explored from dynamic system perspective, which leads to the following major contributions. On one hand, many new capabilities of some existing RNNs have been revealed for solving VIs and related problems. On the other hand, several new RNNs have been invented for solving some types of these problems. The contributions are established on the following facts. First, two existing RNNs, called TLPNN and PNN, are found to be capable of solving pseudomonotone VIs and related problems with simple bound constraints. Second, many more stability results are revealed for an existing RNN, called GPNN, for solving GVIs with simple bound constraints, and it is then extended to solve linear VIs (LVIs) and generalized linear VIs (GLVIs) with polyhedron constraints. Third, a new RNN, called IDNN, is proposed for solving a special class of quadratic programming problems which features lower structural complexity compared with existing RNNs. Fourth, some local convergence results of an existing RNN, called EPNN, for nonconvex optimization are obtained, and two variants of the network by incorporating two augmented Lagrangian function techniques are proposed for seeking KarushKuhnTucker (KKT) points, especially local optima, of the problems. / Variational inequality (VI) can be viewed as a natural framework for unifying the treatment of equilibrium problems, and hence has applications across many disciplines. In addition, many typical problems are closely related to VI, including general VI (GVI), complementarity problem (CP), generalized CP (GCP) and optimization problem (OP). / Hu, Xiaolin. / "July 2007." / Adviser: Jun Wang. / Source: Dissertation Abstracts International, Volume: 6902, Section: B, page: 1102. / Thesis (Ph.D.)Chinese University of Hong Kong, 2007. / Includes bibliographical references (p. 193207). / 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. / Abstract in English and Chinese. / School code: 1307.

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Error bounds and regularity in mathematical programming. / CUHK electronic theses & dissertations collection / Digital dissertation consortiumJanuary 2003 (has links)
by Yang Weihong. / "March 2003." / Thesis (Ph.D.)Chinese University of Hong Kong, 2003. / Includes bibliographical references (p. 8992). / 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 Company, [200] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Mode of access: World Wide Web. / Abstracts in English and Chinese.

30 
A polyhedral study of nonconvex piecewise linear optimizationKeha, Ahmet B. 01 December 2003 (has links)
No description available.

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