Optimal Estimation In Approximation Theory
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Optimal Estimation In Approximation Theory
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Author : Charles Michelli
language : en
Publisher:
Release Date : 2014-09-01
Optimal Estimation In Approximation Theory written by Charles Michelli and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Optimal Estimation In Approximation Theory
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Author : Charles Michelli
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-22
Optimal Estimation In Approximation Theory written by Charles Michelli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-22 with Social Science categories.
The papers in this volume were presented at an International Symposium on Optimal Estimation in Approximation Theory which was held in Freudenstadt, Federal Republic of Germany, September 27-29, 1976. The symposium was sponsored by the IBM World Trade Europe/Middle East/Africa Corporation, Paris, and IBM Germany. On behalf of all the participants we wish to express our appreciation to the spon sors for their generous support. In the past few years the quantification of the notion of com plexity for various important computational procedures (e. g. multi plication of numbers or matrices) has been widely studied. Some such concepts are necessary ingredients in the quest for optimal, or nearly optimal, algorithms. The purpose of this symposium was to present recent results of similar character in the field or ap proximation theory, as well as to describe the algorithms currently being used in important areas of application of approximation theory such as: crystallography, data transmission systems, cartography, reconstruction from x-rays, planning of radiation treatment, optical perception, analysis of decay processes and inertial navigation system control. It was the hope of the organizers that this con frontation of theory and practice would be of benefit to both groups. Whatever success th•~ symposium had is due, in no small part, to the generous and wise scientific counsel of Professor Helmut Werner, to whom the organizers are most grateful. Dr. T. J. Rivlin Dr. P. Schweitzer IBM T. J. Watson Research Center IBM Germany Scientific and Education Programs Yorktown Heights, N. Y.
Optimal Estimation In Approximation Theory
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Author :
language : en
Publisher:
Release Date : 1977*
Optimal Estimation In Approximation Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977* with categories.
N Widths In Approximation Theory
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Author : A. Pinkus
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
N Widths In Approximation Theory written by A. Pinkus and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
My original introduction to this subject was through conservations, and ultimate ly joint work with C. A. Micchelli. I am grateful to him and to Profs. C. de Boor, E. W. Cheney, S. D. Fisher and A. A. Melkman who read various portions of the manuscript and whose suggestions were most helpful. Errors in accuracy and omissions are totally my responsibility. I would like to express my appreciation to the SERC of Great Britain and to the Department of Mathematics of the University of Lancaster for the year spent there during which large portions of the manuscript were written, and also to the European Research Office of the U.S. Army for its financial support of my research endeavors. Thanks are also due to Marion Marks who typed portions of the manuscript. Haifa, 1984 Allan Pinkus Table of Contents 1 Chapter I. Introduction . . . . . . . . Chapter II. Basic Properties of n-Widths . 9 1. Properties of d • • • • • • • • • • 9 n 15 2. Existence of Optimal Subspaces for d • n n 17 3. Properties of d • • • • • • 20 4. Properties of b • • • • • • n 5. Inequalities Between n-Widths 22 n 6. Duality Between d and d • • 27 n 7. n-Widths of Mappings of the Unit Ball 29 8. Some Relationships Between dn(T), dn(T) and bn(T) . 32 37 Notes and References . . . . . . . . . . . . . .
Applied Optimal Estimation
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Author : The Analytic Sciences Corporation
language : en
Publisher: MIT Press
Release Date : 1974-05-15
Applied Optimal Estimation written by The Analytic Sciences Corporation and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-05-15 with Computers categories.
This is the first book on the optimal estimation that places its major emphasis on practical applications, treating the subject more from an engineering than a mathematical orientation. Even so, theoretical and mathematical concepts are introduced and developed sufficiently to make the book a self-contained source of instruction for readers without prior knowledge of the basic principles of the field. The work is the product of the technical staff of The Analytic Sciences Corporation (TASC), an organization whose success has resulted largely from its applications of optimal estimation techniques to a wide variety of real situations involving large-scale systems. Arthur Gelb writes in the Foreword that "It is our intent throughout to provide a simple and interesting picture of the central issues underlying modern estimation theory and practice. Heuristic, rather than theoretically elegant, arguments are used extensively, with emphasis on physical insights and key questions of practical importance." Numerous illustrative examples, many based on actual applications, have been interspersed throughout the text to lead the student to a concrete understanding of the theoretical material. The inclusion of problems with "built-in" answers at the end of each of the nine chapters further enhances the self-study potential of the text. After a brief historical prelude, the book introduces the mathematics underlying random process theory and state-space characterization of linear dynamic systems. The theory and practice of optimal estimation is them presented, including filtering, smoothing, and prediction. Both linear and non-linear systems, and continuous- and discrete-time cases, are covered in considerable detail. New results are described concerning the application of covariance analysis to non-linear systems and the connection between observers and optimal estimators. The final chapters treat such practical and often pivotal issues as suboptimal structure, and computer loading considerations. This book is an outgrowth of a course given by TASC at a number of US Government facilities. Virtually all of the members of the TASC technical staff have, at one time and in one way or another, contributed to the material contained in the work.
Optimal Estimation In Approximation Theory
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Author : Charles Michelli
language : en
Publisher: Springer
Release Date : 1977-06-01
Optimal Estimation In Approximation Theory written by Charles Michelli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-06-01 with Science categories.
The papers in this volume were presented at an International Symposium on Optimal Estimation in Approximation Theory which was held in Freudenstadt, Federal Republic of Germany, September 27-29, 1976. The symposium was sponsored by the IBM World Trade Europe/Middle East/Africa Corporation, Paris, and IBM Germany. On behalf of all the participants we wish to express our appreciation to the spon sors for their generous support. In the past few years the quantification of the notion of com plexity for various important computational procedures (e. g. multi plication of numbers or matrices) has been widely studied. Some such concepts are necessary ingredients in the quest for optimal, or nearly optimal, algorithms. The purpose of this symposium was to present recent results of similar character in the field or ap proximation theory, as well as to describe the algorithms currently being used in important areas of application of approximation theory such as: crystallography, data transmission systems, cartography, reconstruction from x-rays, planning of radiation treatment, optical perception, analysis of decay processes and inertial navigation system control. It was the hope of the organizers that this con frontation of theory and practice would be of benefit to both groups. Whatever success th•~ symposium had is due, in no small part, to the generous and wise scientific counsel of Professor Helmut Werner, to whom the organizers are most grateful. Dr. T. J. Rivlin Dr. P. Schweitzer IBM T. J. Watson Research Center IBM Germany Scientific and Education Programs Yorktown Heights, N. Y.
Optimal Estimation Of Dynamic Systems
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Author : John L. Crassidis
language : en
Publisher: CRC Press
Release Date : 2004-04-27
Optimal Estimation Of Dynamic Systems written by John L. Crassidis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-27 with Mathematics categories.
Most newcomers to the field of linear stochastic estimation go through a difficult process in understanding and applying the theory.This book minimizes the process while introducing the fundamentals of optimal estimation. Optimal Estimation of Dynamic Systems explores topics that are important in the field of control where the signals receiv
Papers In Algebra Analysis And Statistics
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Author : Australian Mathematical Society. Summer Research Institute
language : en
Publisher: American Mathematical Soc.
Release Date : 1982
Papers In Algebra Analysis And Statistics written by Australian Mathematical Society. Summer Research Institute and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.
Collection Of Papers From The All Union School On Function Theory
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Author : S. B. Stechkin
language : en
Publisher: American Mathematical Soc.
Release Date : 1991
Collection Of Papers From The All Union School On Function Theory written by S. B. Stechkin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
Ten papers presented at the All-Union School on Function Theory. The book encompasses a wide range of current directions in the metric theory of functions, the theory of approximation of functions and related parts of mathematical analysis.
Numerical Analysis Lancaster 1984
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Author : Peter R. Turner
language : en
Publisher: Springer
Release Date : 2006-11-14
Numerical Analysis Lancaster 1984 written by Peter R. Turner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.