Polynomial Convexity PDF Download
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Author: Edgar Lee Stout
Publisher: Springer Science & Business Media
ISBN: 0817645373
Category : Mathematics
Languages : en
Pages : 454
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Book Description
This comprehensive monograph details polynomially convex sets. It presents the general properties of polynomially convex sets with particular attention to the theory of the hulls of one-dimensional sets. Coverage examines in considerable detail questions of uniform approximation for the most part on compact sets but with some attention to questions of global approximation on noncompact sets. The book also discusses important applications and motivates the reader with numerous examples and counterexamples, which serve to illustrate the general theory and to delineate its boundaries.
Author: Edgar Lee Stout
Publisher: Springer Science & Business Media
ISBN: 0817645373
Category : Mathematics
Languages : en
Pages : 454
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Book Description
This comprehensive monograph details polynomially convex sets. It presents the general properties of polynomially convex sets with particular attention to the theory of the hulls of one-dimensional sets. Coverage examines in considerable detail questions of uniform approximation for the most part on compact sets but with some attention to questions of global approximation on noncompact sets. The book also discusses important applications and motivates the reader with numerous examples and counterexamples, which serve to illustrate the general theory and to delineate its boundaries.
Author: Grigoriy Blekherman
Publisher: SIAM
ISBN: 1611972280
Category : Mathematics
Languages : en
Pages : 487
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Book Description
An accessible introduction to convex algebraic geometry and semidefinite optimization. For graduate students and researchers in mathematics and computer science.
Author: A. Aeppli
Publisher: Springer Science & Business Media
ISBN: 3642480160
Category : Mathematics
Languages : en
Pages : 316
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Book Description
This volume contains the articles contributed to the Minnesota Con ference on Complex Analysis (COCA). The Conference was held March 16-21, 1964, at the University of Minnesota, under the sponsorship of the U. S. Air Force Office of Scientific Research with thirty-one invited participants attending. Of these, nineteen presented their papers in person in the form of one-hour lectures. In addition, this volume con tains papers contributed by other attending participants as well as by participants who, after having planned to attend, were unable to do so. The list of particip ants, as well as the contributions to these Proceed ings, clearly do not represent a complete coverage of the activities in all fields of complex analysis. It is hoped, however, that these limitations stemming from the partly deliberate selections will allow a fairly com prehensive account of the current research in some of those areas of complex analysis that, in the editors' belief, have rapidly developed during the past decade and may remain as active in the foreseeable future as they are at the present time. In conclusion, the editors wish to thank, first of all, the participants and contributors to these Proceedings for their enthusiastic cooperation and encouragement. Our thanks are due also to the University of Min nesota, for offering the physical facilities for the Conference, and to Springer-Verlag for publishing these proceedings.
Author: Le Baron O. Ferguson
Publisher: American Mathematical Soc.
ISBN: 0821815172
Category : Mathematics
Languages : en
Pages : 174
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Book Description
Addresses two questions that include: 'What functions can be approximated by polynomials whose coefficients are integers?' and 'How well are they approximated (Jackson type theorems)?'
Author: Priti Kumar Roy
Publisher: Springer Nature
ISBN: 9811504229
Category : Mathematics
Languages : en
Pages : 518
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Book Description
This book collects select papers presented at the “International Conference on Mathematical Analysis and Application in Modeling,” held at Jadavpur University, Kolkata, India, on 9–12 January 2018. It discusses new results in cutting-edge areas of several branches of mathematics and applications, including analysis, topology, dynamical systems (nonlinear, topological), mathematical modeling, optimization and mathematical biology. The conference has emerged as a powerful forum, bringing together leading academics, industry experts and researchers, and offering them a venue to discuss, interact and collaborate in order to stimulate the advancement of mathematics and its industrial applications.
Author: Victor P. Havin
Publisher: Springer
ISBN: 3540483683
Category : Mathematics
Languages : en
Pages : 529
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Book Description
The 2-volume-book is an updated, reorganized and considerably enlarged version of the previous edition of the Research Problem Book in Analysis (LNM 1043), a collection familiar to many analysts, that has sparked off much research. This new edition, created in a joint effort by a large team of analysts, is, like its predecessor, a collection of unsolved problems of modern analysis designed as informally written mini-articles, each containing not only a statement of a problem but also historical and metho- dological comments, motivation, conjectures and discussion of possible connections, of plausible approaches as well as a list of references. There are now 342 of these mini- articles, almost twice as many as in the previous edition, despite the fact that a good deal of them have been solved!
Author: Stephen P. Boyd
Publisher: Cambridge University Press
ISBN: 9780521833783
Category : Business & Economics
Languages : en
Pages : 744
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Book Description
Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. The book begins with the basic elements of convex sets and functions, and then describes various classes of convex optimization problems. Duality and approximation techniques are then covered, as are statistical estimation techniques. Various geometrical problems are then presented, and there is detailed discussion of unconstrained and constrained minimization problems, and interior-point methods. The focus of the book is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. It contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance and economics.
Author: G. Cristescu
Publisher: Springer Science & Business Media
ISBN: 9781402006241
Category : Mathematics
Languages : en
Pages : 396
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Book Description
Cristescu (mathematics, Aurel Vlaicu U. of Arad, Romania) and Lupsa (mathematics, Babes-Bolyai U. of Cluj-Napoca, Romania) propose two classifications of convexity properties for sets, both starting from the internal mechanism of defining them. The volume's 13 chapters cover the fields of non-connected convexity properties; convexity with respect to a set; convexity with respect to behaviors; convexity with respect to a set and two behaviors; convexities defined by means of distance functions; induced convexity; convexity defined by means of given functions; classification of the convexity properties; applications in pattern recognition; alternative theorems and integer convex sets; various types of generalized convex functions; applications in optimization; and applications in pharmacoeconomics. Written in charmingly clunky but fairly understandable English. Annotation copyrighted by Book News, Inc., Portland, OR
Author:
Publisher: Elsevier
ISBN: 0080871151
Category : Mathematics
Languages : en
Pages : 106
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Book Description
Spectral Theory and Complex Analysis
Author: Yurii Nesterov
Publisher: SIAM
ISBN: 9781611970791
Category : Mathematics
Languages : en
Pages : 414
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Book Description
Specialists working in the areas of optimization, mathematical programming, or control theory will find this book invaluable for studying interior-point methods for linear and quadratic programming, polynomial-time methods for nonlinear convex programming, and efficient computational methods for control problems and variational inequalities. A background in linear algebra and mathematical programming is necessary to understand the book. The detailed proofs and lack of "numerical examples" might suggest that the book is of limited value to the reader interested in the practical aspects of convex optimization, but nothing could be further from the truth. An entire chapter is devoted to potential reduction methods precisely because of their great efficiency in practice.
