Numerical Methods for Nonlinear Estimating Equations

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Publisher : OUP Oxford
ISBN 13 : 0191545090
Total Pages : 324 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Numerical Methods for Nonlinear Estimating Equations by : Christopher G. Small

Download or read book Numerical Methods for Nonlinear Estimating Equations written by Christopher G. Small and published by OUP Oxford. This book was released on 2003-10-02 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinearity arises in statistical inference in various ways, with varying degrees of severity, as an obstacle to statistical analysis. More entrenched forms of nonlinearity often require intensive numerical methods to construct estimators, and the use of root search algorithms, or one-step estimators, is a standard method of solution. This book provides a comprehensive study of nonlinear estimating equations and artificial likelihoods for statistical inference. It provides extensive coverage and comparison of hill climbing algorithms, which, when started at points of nonconcavity often have very poor convergence properties, and for additional flexibility proposes a number of modifications to the standard methods for solving these algorithms. The book also extends beyond simple root search algorithms to include a discussion of the testing of roots for consistency, and the modification of available estimating functions to provide greater stability in inference. A variety of examples from practical applications are included to illustrate the problems and possibilities thus making this text ideal for the research statistician and graduate student. This is the latest in the well-established and authoritative Oxford Statistical Science Series, which includes texts and monographs covering many topics of current research interest in pure and applied statistics. Each title has an original slant even if the material included is not specifically original. The authors are leading researchers and the topics covered will be of interest to all professional statisticians, whether they be in industry, government department or research institute. Other books in the series include 23. W.J.Krzanowski: Principles of multivariate analysis: a user's perspective updated edition 24. J.Durbin and S.J.Koopman: Time series analysis by State Space Models 25. Peter J. Diggle, Patrick Heagerty, Kung-Yee Liang, Scott L. Zeger: Analysis of Longitudinal Data 2/e 26. J.K. Lindsey: Nonlinear Models in Medical Statistics 27. Peter J. Green, Nils L. Hjort & Sylvia Richardson: Highly Structured Stochastic Systems 28. Margaret S. Pepe: The Statistical Evaluation of Medical Tests for Classification and Prediction

Numerical Methods for Nonlinear Estimating Equations

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Author :
Publisher : Oxford University Press
ISBN 13 : 9780198506881
Total Pages : 330 pages
Book Rating : 4.5/5 (68 download)

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Book Synopsis Numerical Methods for Nonlinear Estimating Equations by : Christopher G. Small

Download or read book Numerical Methods for Nonlinear Estimating Equations written by Christopher G. Small and published by Oxford University Press. This book was released on 2003 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non linearity arises in statistical inference in various ways, with varying degrees of severity, as an obstacle to statistical analysis. More entrenched forms of nonlinearity often require intensive numerical methods to construct estimators, and the use of root search algorithms, or one-step estimators, is a standard method of solution. This book provides a comprehensive study of nonlinear estimating equations and artificial likelihood's for statistical inference. It provides extensive coverage and comparison of hill climbing algorithms, which when started at points of nonconcavity often have very poor convergence properties, and for additional flexibility proposes a number of modification to the standard methods for solving these algorithms. The book also extends beyond simple root search algorithms to include a discussion of the testing of roots for consistency, and the modification of available estimating functions to provide greater stability in inference. A variety of examples from practical applications are included to illustrate the problems and possibilities thus making this text ideal for the research statistician and graduate student.

Numerical Methods for Unconstrained Optimization and Nonlinear Equations

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Publisher : SIAM
ISBN 13 : 9781611971200
Total Pages : 394 pages
Book Rating : 4.9/5 (712 download)

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Book Synopsis Numerical Methods for Unconstrained Optimization and Nonlinear Equations by : J. E. Dennis, Jr.

Download or read book Numerical Methods for Unconstrained Optimization and Nonlinear Equations written by J. E. Dennis, Jr. and published by SIAM. This book was released on 1996-12-01 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has become the standard for a complete, state-of-the-art description of the methods for unconstrained optimization and systems of nonlinear equations. Originally published in 1983, it provides information needed to understand both the theory and the practice of these methods and provides pseudocode for the problems. The algorithms covered are all based on Newton's method or "quasi-Newton" methods, and the heart of the book is the material on computational methods for multidimensional unconstrained optimization and nonlinear equation problems. The republication of this book by SIAM is driven by a continuing demand for specific and sound advice on how to solve real problems. The level of presentation is consistent throughout, with a good mix of examples and theory, making it a valuable text at both the graduate and undergraduate level. It has been praised as excellent for courses with approximately the same name as the book title and would also be useful as a supplemental text for a nonlinear programming or a numerical analysis course. Many exercises are provided to illustrate and develop the ideas in the text. A large appendix provides a mechanism for class projects and a reference for readers who want the details of the algorithms. Practitioners may use this book for self-study and reference. For complete understanding, readers should have a background in calculus and linear algebra. The book does contain background material in multivariable calculus and numerical linear algebra.

Max-Plus Methods for Nonlinear Control and Estimation

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Publisher : Springer Science & Business Media
ISBN 13 : 9780817635343
Total Pages : 268 pages
Book Rating : 4.6/5 (353 download)

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Book Synopsis Max-Plus Methods for Nonlinear Control and Estimation by : William M. McEneaney

Download or read book Max-Plus Methods for Nonlinear Control and Estimation written by William M. McEneaney and published by Springer Science & Business Media. This book was released on 2006 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central focus of this book is the control of continuous-time/continuous-space nonlinear systems. Using new techniques that employ the max-plus algebra, the author addresses several classes of nonlinear control problems, including nonlinear optimal control problems and nonlinear robust/H-infinity control and estimation problems. Several numerical techniques are employed, including a max-plus eigenvector approach and an approach that avoids the curse-of-dimensionality. The max-plus-based methods examined in this work belong to an entirely new class of numerical methods for the solution of nonlinear control problems and their associated Hamilton–Jacobi–Bellman (HJB) PDEs; these methods are not equivalent to either of the more commonly used finite element or characteristic approaches. Max-Plus Methods for Nonlinear Control and Estimation will be of interest to applied mathematicians, engineers, and graduate students interested in the control of nonlinear systems through the implementation of recently developed numerical methods.

Numerical Methods for Nonlinear Algebraic Equations

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Publisher : Gordon & Breach Publishing Group
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Numerical Methods for Nonlinear Algebraic Equations by : British Computer Society. Numerical Analysis Specialist Group

Download or read book Numerical Methods for Nonlinear Algebraic Equations written by British Computer Society. Numerical Analysis Specialist Group and published by Gordon & Breach Publishing Group. This book was released on 1970 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on Numerical Methods for Non-Linear Variational Problems

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3540775064
Total Pages : 507 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Lectures on Numerical Methods for Non-Linear Variational Problems by : R. Glowinski

Download or read book Lectures on Numerical Methods for Non-Linear Variational Problems written by R. Glowinski and published by Springer Science & Business Media. This book was released on 2008-01-22 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: When Herb Keller suggested, more than two years ago, that we update our lectures held at the Tata Institute of Fundamental Research in 1977, and then have it published in the collection Springer Series in Computational Physics, we thought, at first, that it would be an easy task. Actually, we realized very quickly that it would be more complicated than what it seemed at first glance, for several reasons: 1. The first version of Numerical Methods for Nonlinear Variational Problems was, in fact, part of a set of monographs on numerical mat- matics published, in a short span of time, by the Tata Institute of Fun- mental Research in its well-known series Lectures on Mathematics and Physics; as might be expected, the first version systematically used the material of the above monographs, this being particularly true for Lectures on the Finite Element Method by P. G. Ciarlet and Lectures on Optimization—Theory and Algorithms by J. Cea. This second version had to be more self-contained. This necessity led to some minor additions in Chapters I-IV of the original version, and to the introduction of a chapter (namely, Chapter Y of this book) on relaxation methods, since these methods play an important role in various parts of this book.

Numerical Solution of Systems of Nonlinear Algebraic Equations

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Publisher :
ISBN 13 :
Total Pages : 442 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Numerical Solution of Systems of Nonlinear Algebraic Equations by : George D. Byrne

Download or read book Numerical Solution of Systems of Nonlinear Algebraic Equations written by George D. Byrne and published by . This book was released on 1973 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Analysis of Parameterized Nonlinear Equations

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Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 326 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Numerical Analysis of Parameterized Nonlinear Equations by : Werner C. Rheinbolt

Download or read book Numerical Analysis of Parameterized Nonlinear Equations written by Werner C. Rheinbolt and published by Wiley-Interscience. This book was released on 1986 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the leading experts in the field discusses recent developments in the numerical analysis of nonlinear equations involving a finite number of parameters. Shows how these equations can be developed on a differential geometric basis. Topics include equilibrium manifolds, path-tracing on manifolds, aspects of computational stability analysis, discretization errors of parameterized equations, and computational error assessment and related questions.

Numerical Methods for Nonlinear Regression

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Publisher :
ISBN 13 :
Total Pages : 140 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Numerical Methods for Nonlinear Regression by : David Royce Sadler

Download or read book Numerical Methods for Nonlinear Regression written by David Royce Sadler and published by . This book was released on 1975 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Solution of Systems of Nonlinear Algebraic Equations

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Publisher : Elsevier
ISBN 13 : 1483269302
Total Pages : 430 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Numerical Solution of Systems of Nonlinear Algebraic Equations by : George D. Byrne

Download or read book Numerical Solution of Systems of Nonlinear Algebraic Equations written by George D. Byrne and published by Elsevier. This book was released on 2014-05-10 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Solution of Systems of Nonlinear Algebraic Equations contains invited lectures of the NSF-CBMS Regional Conference on the Numerical Solution of Nonlinear Algebraic Systems with Applications to Problems in Physics, Engineering and Economics, held on July 10-14, 1972. This book is composed of 10 chapters and begins with the concepts of nonlinear algebraic equations in continuum mechanics. The succeeding chapters deal with the numerical solution of quasilinear elliptic equations, the nonlinear systems in semi-infinite programming, and the solution of large systems of linear algebraic equations. These topics are followed by a survey of some computational techniques for the nonlinear least squares problem. The remaining chapters explore the problem of nonlinear functional minimization, the modification methods, and the computer-oriented algorithms for solving system. These chapters also examine the principles of contractor theory of solving equations. This book will prove useful to undergraduate and graduate students.

Iterative Methods for Linear and Nonlinear Equations

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Publisher : SIAM
ISBN 13 : 0898713528
Total Pages : 169 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Iterative Methods for Linear and Nonlinear Equations by : C. T. Kelley

Download or read book Iterative Methods for Linear and Nonlinear Equations written by C. T. Kelley and published by SIAM. This book was released on 1995-01-01 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.

Introduction to Numerical Continuation Methods

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Publisher : SIAM
ISBN 13 : 9780898719154
Total Pages : 413 pages
Book Rating : 4.7/5 (191 download)

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Book Synopsis Introduction to Numerical Continuation Methods by : Eugene L. Allgower

Download or read book Introduction to Numerical Continuation Methods written by Eugene L. Allgower and published by SIAM. This book was released on 2003-01-01 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical continuation methods have provided important contributions toward the numerical solution of nonlinear systems of equations for many years. The methods may be used not only to compute solutions, which might otherwise be hard to obtain, but also to gain insight into qualitative properties of the solutions. Introduction to Numerical Continuation Methods, originally published in 1979, was the first book to provide easy access to the numerical aspects of predictor corrector continuation and piecewise linear continuation methods. Not only do these seemingly distinct methods share many common features and general principles, they can be numerically implemented in similar ways. The book also features the piecewise linear approximation of implicitly defined surfaces, the algorithms of which are frequently used in computer graphics, mesh generation, and the evaluation of surface integrals. To help potential users of numerical continuation methods create programs adapted to their particular needs, this book presents pseudo-codes and Fortran codes as illustrations. Since it first appeared, many specialized packages for treating such varied problems as bifurcation, polynomial systems, eigenvalues, economic equilibria, optimization, and the approximation of manifolds have been written. The original extensive bibliography has been updated in the SIAM Classics edition to include more recent references and several URLs so users can look for codes to suit their needs. Audience: this book continues to be useful for researchers and graduate students in mathematics, sciences, engineering, economics, and business. A background in elementary analysis and linear algebra are adequate prerequisites for reading this book; some knowledge from a first course in numerical analysis may also be helpful.

Computational Methods in Nonlinear Analysis

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Publisher : World Scientific
ISBN 13 : 9814405833
Total Pages : 592 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Computational Methods in Nonlinear Analysis by : Ioannis K. Argyros

Download or read book Computational Methods in Nonlinear Analysis written by Ioannis K. Argyros and published by World Scientific. This book was released on 2013 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of computational sciences has seen a considerable development in mathematics, engineering sciences, and economic equilibrium theory. Researchers in this field are faced with the problem of solving a variety of equations or variational inequalities. We note that in computational sciences, the practice of numerical analysis for finding such solutions is essentially connected to variants of Newton's method. The efficient computational methods for finding the solutions of fixed point problems, nonlinear equations and variational inclusions are the first goal of the present book. The second goal is the applications of these methods in nonlinear problems and the connection with fixed point theory. This book is intended for researchers in computational sciences, and as a reference book for an advanced computational methods in nonlinear analysis. We collect the recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces, and present several applications and connections with fixed point theory. The book contains abundant and updated bibliography, and provides comparison between various investigations made in recent years in the field of computational nonlinear analysis.

Iterative Methods for Solving Nonlinear Equations and Systems

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Publisher : MDPI
ISBN 13 : 3039219405
Total Pages : 494 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Iterative Methods for Solving Nonlinear Equations and Systems by : Juan R. Torregrosa

Download or read book Iterative Methods for Solving Nonlinear Equations and Systems written by Juan R. Torregrosa and published by MDPI. This book was released on 2019-12-06 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solving nonlinear equations in Banach spaces (real or complex nonlinear equations, nonlinear systems, and nonlinear matrix equations, among others), is a non-trivial task that involves many areas of science and technology. Usually the solution is not directly affordable and require an approach using iterative algorithms. This Special Issue focuses mainly on the design, analysis of convergence, and stability of new schemes for solving nonlinear problems and their application to practical problems. Included papers study the following topics: Methods for finding simple or multiple roots either with or without derivatives, iterative methods for approximating different generalized inverses, real or complex dynamics associated to the rational functions resulting from the application of an iterative method on a polynomial. Additionally, the analysis of the convergence has been carried out by means of different sufficient conditions assuring the local, semilocal, or global convergence. This Special issue has allowed us to present the latest research results in the area of iterative processes for solving nonlinear equations as well as systems and matrix equations. In addition to the theoretical papers, several manuscripts on signal processing, nonlinear integral equations, or partial differential equations, reveal the connection between iterative methods and other branches of science and engineering.

Nonlinear Methods in Numerical Analysis

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Publisher : Elsevier
ISBN 13 : 9780080872476
Total Pages : 277 pages
Book Rating : 4.8/5 (724 download)

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Book Synopsis Nonlinear Methods in Numerical Analysis by : A. Cuyt

Download or read book Nonlinear Methods in Numerical Analysis written by A. Cuyt and published by Elsevier. This book was released on 1987-03-01 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: While most textbooks on Numerical Analysis discuss linear techniques for the solution of various numerical problems, this book introduces and illustrates nonlinear methods. It presents several nonlinear techniques resulting mainly from the use of Padé approximants and rational interpolants.

Numerical Methods

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Publisher : Courier Corporation
ISBN 13 : 0486139468
Total Pages : 773 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Numerical Methods by : Germund Dahlquist

Download or read book Numerical Methods written by Germund Dahlquist and published by Courier Corporation. This book was released on 2012-04-26 with total page 773 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Substantial, detailed and rigorous . . . readers for whom the book is intended are admirably served." — MathSciNet (Mathematical Reviews on the Web), American Mathematical Society. Practical text strikes fine balance between students' requirements for theoretical treatment and needs of practitioners, with best methods for large- and small-scale computing. Prerequisites are minimal (calculus, linear algebra, and preferably some acquaintance with computer programming). Text includes many worked examples, problems, and an extensive bibliography.

Numerical Methods for Nonlinear Variational Problems

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Publisher : Springer
ISBN 13 :
Total Pages : 520 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Numerical Methods for Nonlinear Variational Problems by : R. Glowinski

Download or read book Numerical Methods for Nonlinear Variational Problems written by R. Glowinski and published by Springer. This book was released on 1984 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: