Newton’s Method: an Updated Approach of Kantorovich’s Theory

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Publisher : Birkhäuser
ISBN 13 : 3319559761
Total Pages : 175 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Newton’s Method: an Updated Approach of Kantorovich’s Theory by : José Antonio Ezquerro Fernández

Download or read book Newton’s Method: an Updated Approach of Kantorovich’s Theory written by José Antonio Ezquerro Fernández and published by Birkhäuser. This book was released on 2017-07-05 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows the importance of studying semilocal convergence in iterative methods through Newton's method and addresses the most important aspects of the Kantorovich's theory including implicated studies. Kantorovich's theory for Newton's method used techniques of functional analysis to prove the semilocal convergence of the method by means of the well-known majorant principle. To gain a deeper understanding of these techniques the authors return to the beginning and present a deep-detailed approach of Kantorovich's theory for Newton's method, where they include old results, for a historical perspective and for comparisons with new results, refine old results, and prove their most relevant results, where alternative approaches leading to new sufficient semilocal convergence criteria for Newton's method are given. The book contains many numerical examples involving nonlinear integral equations, two boundary value problems and systems of nonlinear equations related to numerous physical phenomena. The book is addressed to researchers in computational sciences, in general, and in approximation of solutions of nonlinear problems, in particular.

L V Kantorovich

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Publisher : CRC Press
ISBN 13 : 9782881249839
Total Pages : 768 pages
Book Rating : 4.2/5 (498 download)

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Book Synopsis L V Kantorovich by : Leonid V. Kantorovich

Download or read book L V Kantorovich written by Leonid V. Kantorovich and published by CRC Press. This book was released on 2001-10-04 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part I of the Selected Works of L.V.Kantorovich is devoted to his mathematical work, with particular emphasis on the contribution he made to set theory and methods of mathematical approximation. The book begins with some chapters on the Descriptive Theory of Sets and Real Functions. Topics include universal functions, W.H. Young's classification, generalized derivatives of continuous functions and the H. Steinhaus problem. The book also includes papers on functional analysis in semi-ordered vector spaces, as well as articles relevant to the extension of Hilbert space in the spirit of distribution theory. This indispensable reference provides a record of the achievements of a man whose originality and diversity of thought distinguished him as a remarkable mathematician. Kantorovich was a true polymath, whose mathematical work had applications across a very broad field of subjects, particularly economics. This book will prove to be a useful reference work for anyone interested in learning about the origin of a number of important mathematical ideas. Part II of this set contains his works on Functional Analysis. The author deals with a number of approximate calculations and solutions including a discussion of an approximate calculation of certain types of definite integrals, and also a method for the approximate solution of partial differential equations. In addition to this, the author looks at various other methods, including the Ritz method, the Galerkin method in relation to the reduction of differential equations, and the Newton method for functional equations. Towards the end of the book there are several chapters on computers-a very early insight into what proved to be a development of enormous importance in the later half of the 20th century. Kantorovich is often said to be the founding father of mathematical programming. His ideas of the 1930s, which could never to come to fruition in Stalin's Soviet Union, were later developed by other scientists, and have had a considerable impact on the world, particularly in the field of economics. This book will appeal to anyone seeking further insight into the works of this great mathematician.

L V Kantorovich

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Publisher : CRC Press
ISBN 13 : 9782881249839
Total Pages : 0 pages
Book Rating : 4.2/5 (498 download)

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Book Synopsis L V Kantorovich by : Leonid V. Kantorovich

Download or read book L V Kantorovich written by Leonid V. Kantorovich and published by CRC Press. This book was released on 2001-10-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part I of the Selected Works of L.V.Kantorovich is devoted to his mathematical work, with particular emphasis on the contribution he made to set theory and methods of mathematical approximation. The book begins with some chapters on the Descriptive Theory of Sets and Real Functions. Topics include universal functions, W.H. Young's classification, generalized derivatives of continuous functions and the H. Steinhaus problem. The book also includes papers on functional analysis in semi-ordered vector spaces, as well as articles relevant to the extension of Hilbert space in the spirit of distribution theory. This indispensable reference provides a record of the achievements of a man whose originality and diversity of thought distinguished him as a remarkable mathematician. Kantorovich was a true polymath, whose mathematical work had applications across a very broad field of subjects, particularly economics. This book will prove to be a useful reference work for anyone interested in learning about the origin of a number of important mathematical ideas. Part II of this set contains his works on Functional Analysis. The author deals with a number of approximate calculations and solutions including a discussion of an approximate calculation of certain types of definite integrals, and also a method for the approximate solution of partial differential equations. In addition to this, the author looks at various other methods, including the Ritz method, the Galerkin method in relation to the reduction of differential equations, and the Newton method for functional equations. Towards the end of the book there are several chapters on computers-a very early insight into what proved to be a development of enormous importance in the later half of the 20th century. Kantorovich is often said to be the founding father of mathematical programming. His ideas of the 1930s, which could never to come to fruition in Stalin's Soviet Union, were later developed by other scientists, and have had a considerable impact on the world, particularly in the field of economics. This book will appeal to anyone seeking further insight into the works of this great mathematician.

Approximate Methods of Higher Analysis

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Publisher :
ISBN 13 :
Total Pages : 708 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Approximate Methods of Higher Analysis by : Leonid Vitalʹevich Kantorovich

Download or read book Approximate Methods of Higher Analysis written by Leonid Vitalʹevich Kantorovich and published by . This book was released on 1964 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Functional Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 3642618596
Total Pages : 517 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Functional Analysis by : Kösaku Yosida

Download or read book Functional Analysis written by Kösaku Yosida and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book is based on lectures given by the author at the University of Tokyo during the past ten years. It is intended as a textbook to be studied by students on their own or to be used in a course on Functional Analysis, i. e. , the general theory of linear operators in function spaces together with salient features of its application to diverse fields of modern and classical analysis. Necessary prerequisites for the reading of this book are summarized, with or without proof, in Chapter 0 under titles: Set Theory, Topo logical Spaces, Measure Spaces and Linear Spaces. Then, starting with the chapter on Semi-norms, a general theory of Banach and Hilbert spaces is presented in connection with the theory of generalized functions of S. L. SOBOLEV and L. SCHWARTZ. While the book is primarily addressed to graduate students, it is hoped it might prove useful to research mathe maticians, both pure and applied. The reader may pass, e. g. , from Chapter IX (Analytical Theory of Semi-groups) directly to Chapter XIII (Ergodic Theory and Diffusion Theory) and to Chapter XIV (Integration of the Equation of Evolution). Such materials as "Weak Topologies and Duality in Locally Convex Spaces" and "Nuclear Spaces" are presented in the form of the appendices to Chapter V and Chapter X, respectively. These might be skipped for the first reading by those who are interested rather in the application of linear operators.

Descriptive Theory of Sets and Functions. Functional Analysis in Semi-ordered Spaces

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Publisher : CRC Press
ISBN 13 : 9782884490122
Total Pages : 384 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Descriptive Theory of Sets and Functions. Functional Analysis in Semi-ordered Spaces by : L.V. Kantorovich

Download or read book Descriptive Theory of Sets and Functions. Functional Analysis in Semi-ordered Spaces written by L.V. Kantorovich and published by CRC Press. This book was released on 1996-02-19 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Functional Analysis. Approximation Methods and Computers

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Publisher : CRC Press
ISBN 13 : 9782884490139
Total Pages : 408 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Applied Functional Analysis. Approximation Methods and Computers by : S.S. Kutateladze

Download or read book Applied Functional Analysis. Approximation Methods and Computers written by S.S. Kutateladze and published by CRC Press. This book was released on 1996-02-19 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Annotated Timeline of Operations Research

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Publisher : Springer Science & Business Media
ISBN 13 : 1402081138
Total Pages : 221 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis An Annotated Timeline of Operations Research by : Saul I. Gass

Download or read book An Annotated Timeline of Operations Research written by Saul I. Gass and published by Springer Science & Business Media. This book was released on 2007-02-15 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Annotated Timeline of Operations Research: An Informal History recounts the evolution of Operations Research (OR) as a new science - the science of decision making. Arising from the urgent operational issues of World War II, the philosophy and methodology of OR has permeated the resolution of decision problems in business, industry, and government. The Timeline chronicles the history of OR in the form of self-contained, expository entries. Each entry presents a concise explanation of the events and people under discussion, and provides key sources where further relevant information can be obtained. In addition, books and papers that have influenced the development of OR or helped to educate the first generations of OR academics and practitioners are cited throughout the book. Starting in 1564 with seminal ideas that form the precursors of OR, the Timeline traces the key ideas and events of OR through 2004. The Timeline should interest anyone involved in OR - researchers, practitioners, academics, and, especially, students - who wish to learn how OR came into being. Further, the scope and expository style of the Timeline should make it of value to the general reader interested in the development of science and technology in the last half of the twentieth century.

Profiles in Operations Research

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Publisher : Springer Science & Business Media
ISBN 13 : 1441962816
Total Pages : 866 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Profiles in Operations Research by : Arjang A. Assad

Download or read book Profiles in Operations Research written by Arjang A. Assad and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt: Profiles in Operations Research: Pioneers and Innovators recounts the development of the field of Operations Research (OR), the science of decision making. The book traces the development of OR from its military origins to a mature discipline that is recognized worldwide for its contributions to managerial planning and complex global operations. Over the past six decades, OR analyses have impacted our daily lives: when making an airline or hotel reservation, waiting in line at a bank, getting the correctly blended fuel at the gas station, and ensuring that the book you are holding arrived at its destination on time. OR originated in the late 1930s when British scientists from various disciplines joined Royal Air Force officers to determine the most effective way to employ new radar technology for intercepting enemy aircraft. During World War II, similar applied research groups were formed to study, test, and evaluate military operations on both sides of the Atlantic. Their work resulted in great improvements—OR helped the Allies win the war. The scientific field that emerged from these studies was called operational research in the U.K. and operations research in the U.S. Today, OR provides a broad and powerful science to aid decision making. Profiles describes the lives and contributions of 43 OR pioneers and innovators and relates how these individuals, with varying backgrounds and diverse interests, were drawn to the nascent field of OR. The profiles also describe how OR techniques and applications expanded considerably beyond the military context to find new domains in business and industry. In addition to their scientific contributions, these profiles capture the life stories of the individuals—interwoven with personal tales, vivid vignettes, family backgrounds, and views of the mission and future of OR. Collectively, the profiles recount the fascinating story of the growth and development of a field enriched by the convergence of different disciplines. The Editors: Arjang A. Assad is Dean of the School of Management, University at Buffalo, State University of New York. Saul I. Gass is Professor Emeritus, Department of Decision, Operations & Information Technologies, Smith School of Business, University of Maryland, College Park. From the Reviews Profiles In Operations Research: Pioneers and Innovators. Book Review by Nigel Cummings: U.K. OR Society's e-journal, Inside OR., Sept 2011. "I can thoroughly recommend this book. I found it both enlighteningand undeniably gripping, so much so in fact, you may find it difficultto put it down once you have commenced reading it. Arjang A. Assad and Saul I. Gass have created a masterwork whichwill serve to immortalise [stet] the pioneers of O.R. for many years to come." *For a list of all known typos, plus further discussion on the book, please visit http://profilesinoperationsresearch.com.

L. V. Kantorovich

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Publisher :
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis L. V. Kantorovich by : Leonid Vitalʹevich Kantorovich

Download or read book L. V. Kantorovich written by Leonid Vitalʹevich Kantorovich and published by . This book was released on 1976 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: These volumes explore the mathematical work of this distinguished Russian thinker, with particular emphasis on his contribution to set theory and methods of mathematical approximation. It discusses his work on Functional Analysis, dealing with approximate calculation of certain types of definite integrals, and also a method for the approximate solution of partial differential equations. This is a useful reference for anyone interested the origin of a number of important mathematical ideas. Said to be the founding father of mathematical programming, Kantorovich was a true polymath, whose mathematical work had applications across a very broad field of subjects, particularly economics.

Combinatorial Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540443896
Total Pages : 2024 pages
Book Rating : 4.4/5 (438 download)

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Book Synopsis Combinatorial Optimization by : Alexander Schrijver

Download or read book Combinatorial Optimization written by Alexander Schrijver and published by Springer Science & Business Media. This book was released on 2003-02-12 with total page 2024 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "About 30 years ago, when I was a student, the first book on combinatorial optimization came out referred to as "the Lawler" simply. I think that now, with this volume Springer has landed a coup: "The Schrijver". The box is offered for less than 90.- EURO, which to my opinion is one of the best deals after the introduction of this currency." OR-Spectrum

Encyclopedia of Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 0387747583
Total Pages : 4646 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Encyclopedia of Optimization by : Christodoulos A. Floudas

Download or read book Encyclopedia of Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 4646 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".

World Communism at the Crossroads

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Publisher : Springer Science & Business Media
ISBN 13 : 9401576319
Total Pages : 338 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis World Communism at the Crossroads by : S.S. Rosefielde

Download or read book World Communism at the Crossroads written by S.S. Rosefielde and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: The collection of essays presented in this volume grew out of a series of lec tures given at the University of North Carolina during the academic year 1976-1977. The series was sponsored by the Soviet and East European Stud ies Program, which I chaired at the time, and the Curriculum of Peace, War and Defense, headed by James Leutze. In the ensuing years almost all the manuscripts have been redrafted at frequent intervals to reflect the changing state of knowledge in each respective discipline. The final version of the text that appears here is therefore the outcome of a long developmen tal process. It is up to date and embodies our individual views on world communism at the present juncture. Although the recent Soviet invasion of Afghanistan occurred shortly after this volume was completed, that event has not impaired the book's timeliness. The findings of Rosefielde, Lee, Valenta, and Leutze all point toward a resurgence of Soviet expansionism, and Parker explicitly predicted the Afghan invasion in the first draft of his essay, June 1978 (see p. 32).

The Methods of Distances in the Theory of Probability and Statistics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461448697
Total Pages : 616 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis The Methods of Distances in the Theory of Probability and Statistics by : Svetlozar T. Rachev

Download or read book The Methods of Distances in the Theory of Probability and Statistics written by Svetlozar T. Rachev and published by Springer Science & Business Media. This book was released on 2013-01-04 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the method of metric distances and its application in probability theory and other fields. The method is fundamental in the study of limit theorems and generally in assessing the quality of approximations to a given probabilistic model. The method of metric distances is developed to study stability problems and reduces to the selection of an ideal or the most appropriate metric for the problem under consideration and a comparison of probability metrics. After describing the basic structure of probability metrics and providing an analysis of the topologies in the space of probability measures generated by different types of probability metrics, the authors study stability problems by providing a characterization of the ideal metrics for a given problem and investigating the main relationships between different types of probability metrics. The presentation is provided in a general form, although specific cases are considered as they arise in the process of finding supplementary bounds or in applications to important special cases. Svetlozar T. Rachev is the Frey Family Foundation Chair of Quantitative Finance, Department of Applied Mathematics and Statistics, SUNY-Stony Brook and Chief Scientist of Finanlytica, USA. Lev B. Klebanov is a Professor in the Department of Probability and Mathematical Statistics, Charles University, Prague, Czech Republic. Stoyan V. Stoyanov is a Professor at EDHEC Business School and Head of Research, EDHEC-Risk Institute—Asia (Singapore). Frank J. Fabozzi is a Professor at EDHEC Business School. (USA)

Nonsmooth Mechanics and Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 0387291954
Total Pages : 318 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Nonsmooth Mechanics and Analysis by : Pierre Alart

Download or read book Nonsmooth Mechanics and Analysis written by Pierre Alart and published by Springer Science & Business Media. This book was released on 2006-06-26 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book’s title, Nonsmooth Mechanics and Analysis, refers to a major domain of mechanics, particularly those initiated by the works of Jean Jacques Moreau. Nonsmooth mechanics concerns mechanical situations with possible nondifferentiable relationships, eventually discontinuous, as unilateral contact, dry friction, collisions, plasticity, damage, and phase transition. The basis of the approach consists in dealing with such problems without resorting to any regularization process. Indeed, the nonsmoothness is due to simplified mechanical modeling; a more sophisticated model would require too large a number of variables, and sometimes the mechanical information is not available via experimental investigations. Therefore, the mathematical formulation becomes nonsmooth; regularizing would only be a trick of arithmetic without any physical justification. Nonsmooth analysis was developed, especially in Montpellier, to provide specific theoretical and numerical tools to deal with nonsmoothness. It is important not only in mechanics but also in physics, robotics, and economics. Audience This book is intended for researchers in mathematics and mechanics.

A History of Russian Economic Thought

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Publisher : Routledge
ISBN 13 : 113426190X
Total Pages : 194 pages
Book Rating : 4.1/5 (342 download)

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Book Synopsis A History of Russian Economic Thought by : Vincent Barnett

Download or read book A History of Russian Economic Thought written by Vincent Barnett and published by Routledge. This book was released on 2013-03-07 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The collapse of the Union of Soviet Socialist Republic at the end of the 1980’s was conceived as a victory for capitalist democracy. Here, Vincent Barnett provides the first comprehensive account of the historical development of Russian and Soviet economic thought across the nineteenth and twentieth centuries, and considers its future in the twenty-first century. Utilizing an extensive range of historical sources, Barnett examines the different strands of thought, including classical, neoclassical, historical, socialist, liberal and Marxian schools. He traces their influence, and the impact their ideas had on shaping policies. An excellent addition to the Routledge History of Economic Thought series, this book covers pre-1870, Tsarist economics, the late Tsarist period, the impact of the war, Bolshevik economics, Stalinist economics, Russian economics after 1940. Incorporating a detailed timeline of the most significant Russian economists work and analyzing the effects of historical discontinuities on the institutional structure of Russian economics as a discipline, Barnett delivers an essential text for postgraduates and professionals interested in economic history and the evolution of Russian economic thought.

Socialist Planning

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Publisher : CUP Archive
ISBN 13 : 9780521358668
Total Pages : 390 pages
Book Rating : 4.3/5 (586 download)

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Book Synopsis Socialist Planning by : Michael Ellman

Download or read book Socialist Planning written by Michael Ellman and published by CUP Archive. This book was released on 1989-03-09 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published as a second edition in 1989, Socialist Planning was the standard introductory text on the economics of socialist planning.