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Algorithms For Finding Zeros And Extrema Of Functions Without Calculating Derivatives
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Book Synopsis Algorithms for Finding Zeros and Extrema of Functions Without Calculating Derivatives by : Richard P. Brent
Download or read book Algorithms for Finding Zeros and Extrema of Functions Without Calculating Derivatives written by Richard P. Brent and published by . This book was released on 1971 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theorems are given concerning the order (i.e., rate) of convergence of a successive interpolation process for finding simple zeros of a function or its derivatives, using only function evaluations. Special cases include the successive linear interpolation process for finding zeros, and a parabolic interpolation process for finding turning points. Results on interpolation and finite differences include weakening the hypotheses of a theorem of Ralston on the derivative of the error in Lagrangian interpolation. The theoretical results are applied to given algorithms for finding zeros or local minima of functions of one variable, in the presence of rounding errors. The algorithms are guaranteed to converge nearly as fast as would bisection or Fibonacci search, and in most practical cases convergence is superlinear, and much faster than for bisection or Fibonacci search. (Author).
Book Synopsis Algorithms for Finding Zeros and Extrema of Functions Without Calculating Derivatives by : Richard P. Brent
Download or read book Algorithms for Finding Zeros and Extrema of Functions Without Calculating Derivatives written by Richard P. Brent and published by . This book was released on 1971 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theorems are given concerning the order (i.e., rate) of convergence of a successive interpolation process for finding simple zeros of a function or its derivatives, using only function evaluations. Special cases include the successive linear interpolation process for finding zeros, and a parabolic interpolation process for finding turning points. Results on interpolation and finite differences include weakening the hypotheses of a theorem of Ralston on the derivative of the error in Lagrangian interpolation. The theoretical results are applied to given algorithms for finding zeros or local minima of functions of one variable, in the presence of rounding errors. The algorithms are guaranteed to converge nearly as fast as would bisection or Fibonacci search, and in most practical cases convergence is superlinear, and much faster than for bisection or Fibonacci search. (Author).
Book Synopsis Algorithms for Minimization Without Derivatives by : Richard P. Brent
Download or read book Algorithms for Minimization Without Derivatives written by Richard P. Brent and published by Courier Corporation. This book was released on 2013-06-10 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVOutstanding text for graduate students and research workers proposes improvements to existing algorithms, extends their related mathematical theories, and offers details on new algorithms for approximating local and global minima. /div
Book Synopsis Numerical Methods for Roots of Polynomials - Part II by : J.M. McNamee
Download or read book Numerical Methods for Roots of Polynomials - Part II written by J.M. McNamee and published by Elsevier Inc. Chapters. This book was released on 2013-07-19 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: We discuss the secant method:where are initial guesses. In the Regula Falsi variation we start with initial guesses and such that ; after an iteration similar to the above we replace either a or b by the new value depending on which of or has the same sign as . Often one of the points gets “stuck,” and several variants such as the Illinois or Pegasus methods and variations are used to “unstick” it. We discuss convergence and efficiency of most of the methods considered. We treat methods involving quadratic of higher order interpolation and rational approximation. We also discuss the bisection method where again and we set . We replace a or b by c according to the sign of as in the Regula Falsi method. Various generalizations are described, including some for complex roots. Finally we consider hybrid methods involving two or more of the previously described methods.
Book Synopsis Computing Center Memo by : University of Michigan Computing Center
Download or read book Computing Center Memo written by University of Michigan Computing Center and published by . This book was released on 1976 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Milestones in Matrix Computation by : Raymond Chan
Download or read book Milestones in Matrix Computation written by Raymond Chan and published by OUP Oxford. This book was released on 2007-02-22 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text presents and discusses some of the most influential papers in Matrix Computation authored by Gene H. Golub, one of the founding fathers of the field. The collection of 21 papers is divided into five main areas: iterative methods for linear systems, solution of least squares problems, matrix factorizations and applications, orthogonal polynomials and quadrature, and eigenvalue problems. Commentaries for each area are provided by leading experts: Anne Greenbaum, Ake Bjorck, Nicholas Higham, Walter Gautschi, and G. W. (Pete) Stewart. Comments on each paper are also included by the original authors, providing the reader with historical information on how the paper came to be written and under what circumstances the collaboration was undertaken. Including a brief biography and facsimiles of the original papers, this text will be of great interest to students and researchers in numerical analysis and scientific computation.
Book Synopsis Operations Research and Artificial Intelligence: The Integration of Problem-Solving Strategies by : Donald E. Brown
Download or read book Operations Research and Artificial Intelligence: The Integration of Problem-Solving Strategies written by Donald E. Brown and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to introduce and explain research at the boundary between two fields that view problem solving from different perspectives. Researchers in operations research and artificial intelligence have traditionally remained separate in their activities. Recently, there has been an explosion of work at the border of the two fields, as members of both communities seek to leverage their activities and resolve problems that remain intractable to pure operations research or artificial intelligence techniques. This book presents representative results from this current flurry of activity and provides insights into promising directions for continued exploration. This book should be of special interest to researchers in artificial intelligence and operations research because it exposes a number of applications and techniques, which have benefited from the integration of problem solving strategies. Even researchers working on different applications or with different techniques can benefit from the descriptions contained here, because they provide insight into effective methods for combining approaches from the two fields. Additionally, researchers in both communities will find a wealth of pointers to challenging new problems and potential opportunities that exist at the interface between operations research and artificial intelligence. In addition to the obvious interest the book should have for members of the operations research and artificial intelligence communities, the papers here are also relevant to members of other research communities and development activities that can benefit from improvements to fundamental problem solving approaches.
Book Synopsis Next Generation of Photovoltaics by : Ana Cristobal
Download or read book Next Generation of Photovoltaics written by Ana Cristobal and published by Springer. This book was released on 2012-02-14 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents new concepts for a next generation of PV. Among these concepts are: Multijunction solar cells, multiple excitation solar cells (or how to take benefit of high energy photons for the creation of more than one electron hole-pair), intermediate band solar cells (or how to take advantage of below band-gap energy photons) and related technologies (for quantum dots, nitrides, thin films), advanced light management approaches (plasmonics). Written by world-class experts in next generation photovoltaics this book is an essential reference guide accessible to both beginners and experts working with solar cell technology. The book deeply analyzes the current state-of-the-art of the new photovoltaic approaches and outlines the implementation paths of these advanced devices. Topics addressed range from the fundamentals to the description of state-of-the-art of the new types of solar cells.
Book Synopsis Linear Programming 2 by : George B. Dantzig
Download or read book Linear Programming 2 written by George B. Dantzig and published by Springer Science & Business Media. This book was released on 2006-04-28 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: George Dantzig is widely regarded as the founder of this subject with his invention of the simplex algorithm in the 1940's. In this second volume, the theory of the items discussed in the first volume is expanded to include such additional advanced topics as variants of the simplex method; interior point methods, GUB, decomposition, integer programming, and game theory. Graduate students in the fields of operations research, industrial engineering and applied mathematics will thus find this volume of particular interest.
Book Synopsis Concentrator Photovoltaics by : Antonio Luque López
Download or read book Concentrator Photovoltaics written by Antonio Luque López and published by Springer. This book was released on 2007-08-17 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an overview of all components, e.g. cells, concentrators, modules and systems, for systems of concentrator photovoltaics. It is an application-oriented book. The authors report on significant results related to design, technology, and applications, and they also cover the fundamental physics and market considerations.
Book Synopsis Linear Programming 1 by : George B. Dantzig
Download or read book Linear Programming 1 written by George B. Dantzig and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Encompassing all the major topics students will encounter in courses on the subject, the authors teach both the underlying mathematical foundations and how these ideas are implemented in practice. They illustrate all the concepts with both worked examples and plenty of exercises, and, in addition, provide software so that students can try out numerical methods and so hone their skills in interpreting the results. As a result, this will make an ideal textbook for all those coming to the subject for the first time. Authors' note: A problem recently found with the software is due to a bug in Formula One, the third party commercial software package that was used for the development of the interface. It occurs when the date, currency, etc. format is set to a non-United States version. Please try setting your computer date/currency option to the United States option . The new version of Formula One, when ready, will be posted on WWW.
Book Synopsis Symmetry with Operator Theory and Equations by : Ioannis Argyros
Download or read book Symmetry with Operator Theory and Equations written by Ioannis Argyros and published by MDPI. This book was released on 2019-10-21 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: A plethora of problems from diverse disciplines such as Mathematics, Mathematical: Biology, Chemistry, Economics, Physics, Scientific Computing and also Engineering can be formulated as an equation defined in abstract spaces using Mathematical Modelling. The solutions of these equations can be found in closed form only in special case. That is why researchers and practitioners utilize iterative procedures from which a sequence is being generated approximating the solution under some conditions on the initial data. This type of research is considered most interesting and challenging. This is our motivation for the introduction of this special issue on Iterative Procedures.
Book Synopsis KWIC Index for Numerical Algebra by : Alston Scott Householder
Download or read book KWIC Index for Numerical Algebra written by Alston Scott Householder and published by . This book was released on 1972 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Predicting movie ratings and recommender systems by : Arkadiusz Paterek
Download or read book Predicting movie ratings and recommender systems written by Arkadiusz Paterek and published by Arkadiusz Paterek. This book was released on 2012-06-19 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: A 195-page monograph by a top-1% Netflix Prize contestant. Learn about the famous machine learning competition. Improve your machine learning skills. Learn how to build recommender systems. What's inside:introduction to predictive modeling,a comprehensive summary of the Netflix Prize, the most known machine learning competition, with a $1M prize,detailed description of a top-50 Netflix Prize solution predicting movie ratings,summary of the most important methods published - RMSE's from different papers listed and grouped in one place,detailed analysis of matrix factorizations / regularized SVD,how to interpret the factorization results - new, most informative movie genres,how to adapt the algorithms developed for the Netflix Prize to calculate good quality personalized recommendations,dealing with the cold-start: simple content-based augmentation,description of two rating-based recommender systems,commentary on everything: novel and unique insights, know-how from over 9 years of practicing and analysing predictive modeling.
Book Synopsis Topics in Computational Complexity and the Analysis of Algorithms by : Richard P. Brent
Download or read book Topics in Computational Complexity and the Analysis of Algorithms written by Richard P. Brent and published by . This book was released on 1980 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optical Engineering written by and published by . This book was released on 1996 with total page 978 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publishes papers reporting on research and development in optical science and engineering and the practical applications of known optical science, engineering, and technology.
Book Synopsis Digital Filters Using MATLAB by : Lars Wanhammar
Download or read book Digital Filters Using MATLAB written by Lars Wanhammar and published by Springer Nature. This book was released on 2020-02-18 with total page 807 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides comprehensive coverage for courses in the basics of design and implementation of digital filters. The book assumes only basic knowledge in digital signal processing and covers state-of-the-art methods for digital filter design and provides a simple route for the readers to design their own filters. The advanced mathematics that is required for the filter design is minimized by providing an extensive MATLAB toolbox with over 300 files. The book presents over 200 design examples with MATLAB code and over 300 problems to be solved by the reader. The students can design and modify the code for their use. The book and the design examples cover almost all known design methods of frequency-selective digital filters as well as some of the authors’ own, unique techniques.
