Algorithms For Minimization Without Derivatives

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Algorithms for Minimization Without Derivatives

Author : Richard P. Brent
Publisher : Courier Corporation
Page : 210 pages
File Size : 46,9 Mb
Release : 2013-06-10
Category : Mathematics
ISBN : 9780486143682

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Algorithms for Minimization Without Derivatives by Richard P. Brent Pdf

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

Numerical Recipes in Pascal (First Edition)

Author : William H. Press
Publisher : Cambridge University Press
Page : 792 pages
File Size : 48,7 Mb
Release : 1989-10-27
Category : Computers
ISBN : 0521375169

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Numerical Recipes in Pascal (First Edition) by William H. Press Pdf

Numerical Recipes: The Art of Scientific Computing was first published in 1986 and became an instant classic among scientists, engineers, and social scientists. In this book the original, time-tested programs have been completely reworked into a clear, consistent Pascal style. This represents a significant improvement to the immensely successful programs contained in the first edition, which were originally written in Fortran. The authors make extensive use of pointers, dynamic memory allocation, and other features utilized by this language. The explanatory text accompanying the programs replicates the lucid, and easy-to-read prose found in the original version, and incorporates corrections, improvements, and explanations of special Pascal features. The product of a unique collaboration among four leading scientists in academic research and industry, Numerical Recipes in Pascal fills a long-recognized need for a practical, comprehensive handbook of scientific computing in the Pascal language. The book is designed both for the Pascal programmer who wants exposure to the techniques of scientific computing, and for the working scientist, social scientist, and engineer. The scope of the book ranges from standard areas of numerical analysis (linear algebra, differential equations, roots) through subjects useful to signal processing (Fourier methods, filtering), data analysis (least squares, robust fitting, statistical functions), simulation (random deviates and Monte Carlo), and more. The lively, informal text combined with an underlying degree of mathematical sophistication makes the book useful to a wide range of readers, beginning at the advanced undergraduate level.

Algorithms for Finding Zeros and Extrema of Functions Without Calculating Derivatives

Author : Richard P. Brent,Stanford University. Computer Science Department
Publisher : Unknown
Page : 662 pages
File Size : 54,9 Mb
Release : 1971
Category : Algorithms
ISBN : STANFORD:36105025628053

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Algorithms for Finding Zeros and Extrema of Functions Without Calculating Derivatives by Richard P. Brent,Stanford University. Computer Science Department Pdf

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).

Numerical Recipes 3rd Edition

Author : William H. Press
Publisher : Cambridge University Press
Page : 1195 pages
File Size : 40,5 Mb
Release : 2007-09-06
Category : Computers
ISBN : 9780521880688

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Numerical Recipes 3rd Edition by William H. Press Pdf

Do you want easy access to the latest methods in scientific computing? This greatly expanded third edition of Numerical Recipes has it, with wider coverage than ever before, many new, expanded and updated sections, and two completely new chapters. The executable C++ code, now printed in colour for easy reading, adopts an object-oriented style particularly suited to scientific applications. Co-authored by four leading scientists from academia and industry, Numerical Recipes starts with basic mathematics and computer science and proceeds to complete, working routines. The whole book is presented in the informal, easy-to-read style that made earlier editions so popular. Highlights of the new material include: a new chapter on classification and inference, Gaussian mixture models, HMMs, hierarchical clustering, and SVMs; a new chapter on computational geometry, covering KD trees, quad- and octrees, Delaunay triangulation, and algorithms for lines, polygons, triangles, and spheres; interior point methods for linear programming; MCMC; an expanded treatment of ODEs with completely new routines; and many new statistical distributions. For support, or to subscribe to an online version, please visit www.nr.com.

Optimization

Author : Jean-Bapiste Hiriart-Urruty,Werner Oettli,Josef Stoer
Publisher : CRC Press
Page : 275 pages
File Size : 41,6 Mb
Release : 2020-11-26
Category : Mathematics
ISBN : 9781000146363

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Optimization by Jean-Bapiste Hiriart-Urruty,Werner Oettli,Josef Stoer Pdf

This book is concerned with tangent cones, duality formulas, a generalized concept of conjugation, and the notion of maxi-minimizing sequence for a saddle-point problem, and deals more with algorithms in optimization. It focuses on the multiple exchange algorithm in convex programming.

Trends in Industrial and Applied Mathematics

Author : Abul Hasan Siddiqi,M. Kocvara
Publisher : Springer Science & Business Media
Page : 368 pages
File Size : 44,8 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461302636

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Trends in Industrial and Applied Mathematics by Abul Hasan Siddiqi,M. Kocvara Pdf

An important objective of the study of mathematics is to analyze and visualize phenomena of nature and real world problems for its proper understanding. Gradually, it is also becoming the language of modem financial instruments. To project some of these developments, the conference was planned under the joint auspices of the Indian Society of Industrial and Applied mathematics (ISlAM) and Guru Nanak Dev University (G. N. D. U. ), Amritsar, India. Dr. Pammy Manchanda, chairperson of Mathematics Department, G. N. D. U. , was appointed the organizing secretary and an organizing committee was constituted. The Conference was scheduled in World Mathematics Year 2000 but, due one reason or the other, it could be held during 22. -25. January 2001. How ever, keeping in view the suggestion of the International Mathematics union, we organized two symposia, Role of Mathematics in industrial development and vice-versa and How image of Mathematics can be improved in public. These two symposia aroused great interest among the participants and almost everyone participated in the deliberations. The discussion in these two themes could be summarized in the lengthy following lines: "Tradition of working in isolation is a barrier for interaction with the workers in the other fields of science and engineering, what to talk of non-academic areas, specially the private sector of finance and industry. Therefore, it is essential to build bridges within in stitutions and between institutions.

Advances in Optimization and Numerical Analysis

Author : S. Gomez,J.P. Hennart
Publisher : Springer Science & Business Media
Page : 285 pages
File Size : 48,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401583305

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Advances in Optimization and Numerical Analysis by S. Gomez,J.P. Hennart Pdf

In January 1992, the Sixth Workshop on Optimization and Numerical Analysis was held in the heart of the Mixteco-Zapoteca region, in the city of Oaxaca, Mexico, a beautiful and culturally rich site in ancient, colonial and modern Mexican civiliza tion. The Workshop was organized by the Numerical Analysis Department at the Institute of Research in Applied Mathematics of the National University of Mexico in collaboration with the Mathematical Sciences Department at Rice University, as were the previous ones in 1978, 1979, 1981, 1984 and 1989. As were the third, fourth, and fifth workshops, this one was supported by a grant from the Mexican National Council for Science and Technology, and the US National Science Foundation, as part of the joint Scientific and Technical Cooperation Program existing between these two countries. The participation of many of the leading figures in the field resulted in a good representation of the state of the art in Continuous Optimization, and in an over view of several topics including Numerical Methods for Diffusion-Advection PDE problems as well as some Numerical Linear Algebraic Methods to solve related pro blems. This book collects some of the papers given at this Workshop.

Nature-Inspired Algorithms for Optimisation

Author : Raymond Chiong
Publisher : Springer Science & Business Media
Page : 524 pages
File Size : 48,6 Mb
Release : 2009-04-28
Category : Mathematics
ISBN : 9783642002663

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Nature-Inspired Algorithms for Optimisation by Raymond Chiong Pdf

Nature-Inspired Algorithms have been gaining much popularity in recent years due to the fact that many real-world optimisation problems have become increasingly large, complex and dynamic. The size and complexity of the problems nowadays require the development of methods and solutions whose efficiency is measured by their ability to find acceptable results within a reasonable amount of time, rather than an ability to guarantee the optimal solution. This volume 'Nature-Inspired Algorithms for Optimisation' is a collection of the latest state-of-the-art algorithms and important studies for tackling various kinds of optimisation problems. It comprises 18 chapters, including two introductory chapters which address the fundamental issues that have made optimisation problems difficult to solve and explain the rationale for seeking inspiration from nature. The contributions stand out through their novelty and clarity of the algorithmic descriptions and analyses, and lead the way to interesting and varied new applications.

Introduction to Derivative-Free Optimization

Author : Andrew R. Conn,Katya Scheinberg,Luis N. Vicente
Publisher : SIAM
Page : 276 pages
File Size : 49,8 Mb
Release : 2009-04-16
Category : Mathematics
ISBN : 9780898716689

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Introduction to Derivative-Free Optimization by Andrew R. Conn,Katya Scheinberg,Luis N. Vicente Pdf

The first contemporary comprehensive treatment of optimization without derivatives. This text explains how sampling and model techniques are used in derivative-free methods and how they are designed to solve optimization problems. It is designed to be readily accessible to both researchers and those with a modest background in computational mathematics.

Innovations and Advanced Techniques in Systems, Computing Sciences and Software Engineering

Author : Khaled Elleithy
Publisher : Springer Science & Business Media
Page : 580 pages
File Size : 54,7 Mb
Release : 2008-08-17
Category : Computers
ISBN : 9781402087356

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Innovations and Advanced Techniques in Systems, Computing Sciences and Software Engineering by Khaled Elleithy Pdf

Innovations and Advanced Techniques in Systems, Computing Sciences and Software Engineering includes a set of rigorously reviewed world-class manuscripts addressing and detailing state-of-the-art research projects in the areas of Computer Science, Software Engineering, Computer Engineering, and Systems Engineering and Sciences. Innovations and Advanced Techniques in Systems, Computing Sciences and Software Engineering includes selected papers form the conference proceedings of the International Conference on Systems, Computing Sciences and Software Engineering (SCSS 2007) which was part of the International Joint Conferences on Computer, Information and Systems Sciences and Engineering (CISSE 2007).

Nonlinear Regression

Author : George A. F. Seber,C. J. Wild
Publisher : John Wiley & Sons
Page : 768 pages
File Size : 50,6 Mb
Release : 2005-02-25
Category : Mathematics
ISBN : 9780471725305

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Nonlinear Regression by George A. F. Seber,C. J. Wild Pdf

WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. From the Reviews of Nonlinear Regression "A very good book and an important one in that it is likely to become a standard reference for all interested in nonlinear regression; and I would imagine that any statistician concerned with nonlinear regression would want a copy on his shelves." –The Statistician "Nonlinear Regression also includes a reference list of over 700 entries. The compilation of this material and cross-referencing of it is one of the most valuable aspects of the book. Nonlinear Regression can provide the researcher unfamiliar with a particular specialty area of nonlinear regression an introduction to that area of nonlinear regression and access to the appropriate references . . . Nonlinear Regression provides by far the broadest discussion of nonlinear regression models currently available and will be a valuable addition to the library of anyone interested in understanding and using such models including the statistical researcher." –Mathematical Reviews

Statistical Computing

Author : WIlliam J. Kennedy,James E. Gentle
Publisher : Routledge
Page : 360 pages
File Size : 55,6 Mb
Release : 2021-06-23
Category : Mathematics
ISBN : 9781351414586

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Statistical Computing by WIlliam J. Kennedy,James E. Gentle Pdf

In this book the authors have assembled the "best techniques from a great variety of sources, establishing a benchmark for the field of statistical computing." ---Mathematics of Computation ." The text is highly readable and well illustrated with examples. The reader who intends to take a hand in designing his own regression and multivariate packages will find a storehouse of information and a valuable resource in the field of statistical computing.

The Algorithm Design Manual: Text

Author : Steven S. Skiena
Publisher : Springer Science & Business Media
Page : 508 pages
File Size : 53,7 Mb
Release : 1998
Category : Computers
ISBN : 0387948600

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The Algorithm Design Manual: Text by Steven S. Skiena Pdf

This volume helps take some of the "mystery" out of identifying and dealing with key algorithms. Drawing heavily on the author's own real-world experiences, the book stresses design and analysis. Coverage is divided into two parts, the first being a general guide to techniques for the design and analysis of computer algorithms. The second is a reference section, which includes a catalog of the 75 most important algorithmic problems. By browsing this catalog, readers can quickly identify what the problem they have encountered is called, what is known about it, and how they should proceed if they need to solve it. This book is ideal for the working professional who uses algorithms on a daily basis and has need for a handy reference. This work can also readily be used in an upper-division course or as a student reference guide.THE ALGORITHM DESIGN MANUAL comes with a CD-ROM that contains:* a complete hypertext version of the full printed book.* the source code and URLs for all cited implementations.* over 30 hours of audio lectures on the design and analysis of algorithms are provided, all keyed to on-line lecture notes.

Practical Methods of Optimization

Author : R. Fletcher
Publisher : John Wiley & Sons
Page : 456 pages
File Size : 44,9 Mb
Release : 2013-06-06
Category : Mathematics
ISBN : 9781118723180

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Practical Methods of Optimization by R. Fletcher Pdf

Fully describes optimization methods that are currently most valuable in solving real-life problems. Since optimization has applications in almost every branch of science and technology, the text emphasizes their practical aspects in conjunction with the heuristics useful in making them perform more reliably and efficiently. To this end, it presents comparative numerical studies to give readers a feel for possibile applications and to illustrate the problems in assessing evidence. Also provides theoretical background which provides insights into how methods are derived. This edition offers revised coverage of basic theory and standard techniques, with updated discussions of line search methods, Newton and quasi-Newton methods, and conjugate direction methods, as well as a comprehensive treatment of restricted step or trust region methods not commonly found in the literature. Also includes recent developments in hybrid methods for nonlinear least squares; an extended discussion of linear programming, with new methods for stable updating of LU factors; and a completely new section on network programming. Chapters include computer subroutines, worked examples, and study questions.

Introduction to Numerical Analysis

Author : J. Stoer,R. Bulirsch
Publisher : Springer Science & Business Media
Page : 674 pages
File Size : 55,7 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475722727

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Introduction to Numerical Analysis by J. Stoer,R. Bulirsch Pdf

On the occasion of this new edition, the text was enlarged by several new sections. Two sections on B-splines and their computation were added to the chapter on spline functions: Due to their special properties, their flexibility, and the availability of well-tested programs for their computation, B-splines play an important role in many applications. Also, the authors followed suggestions by many readers to supplement the chapter on elimination methods with a section dealing with the solution of large sparse systems of linear equations. Even though such systems are usually solved by iterative methods, the realm of elimination methods has been widely extended due to powerful techniques for handling sparse matrices. We will explain some of these techniques in connection with the Cholesky algorithm for solving positive definite linear systems. The chapter on eigenvalue problems was enlarged by a section on the Lanczos algorithm; the sections on the LR and QR algorithm were rewritten and now contain a description of implicit shift techniques. In order to some extent take into account the progress in the area of ordinary differential equations, a new section on implicit differential equa tions and differential-algebraic systems was added, and the section on stiff differential equations was updated by describing further methods to solve such equations.