Computing The Zeros Of Analytic Functions

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Computing the Zeros of Analytic Functions

Author : Peter Kravanja
Publisher : Springer
ISBN 13 : 3540465189
Total Pages : 116 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Computing the Zeros of Analytic Functions by : Peter Kravanja

Download or read book Computing the Zeros of Analytic Functions written by Peter Kravanja and published by Springer. This book was released on 2007-05-06 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computing all the zeros of an analytic function and their respective multiplicities, locating clusters of zeros and analytic fuctions, computing zeros and poles of meromorphic functions, and solving systems of analytic equations are problems in computational complex analysis that lead to a rich blend of mathematics and numerical analysis. This book treats these four problems in a unified way. It contains not only theoretical results (based on formal orthogonal polynomials or rational interpolation) but also numerical analysis and algorithmic aspects, implementation heuristics, and polished software (the package ZEAL) that is available via the CPC Program Library. Graduate studets and researchers in numerical mathematics will find this book very readable.

Computing the Zeros of Analytic Functions

Author : Peter Kravanja
Publisher :
ISBN 13 : 9783662180907
Total Pages : 120 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Computing the Zeros of Analytic Functions by : Peter Kravanja

Download or read book Computing the Zeros of Analytic Functions written by Peter Kravanja and published by . This book was released on 2014-01-15 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

High Performance Computational Science and Engineering

Author : Michael K. Ng
Publisher : Springer Science & Business Media
ISBN 13 : 0387240489
Total Pages : 238 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis High Performance Computational Science and Engineering by : Michael K. Ng

Download or read book High Performance Computational Science and Engineering written by Michael K. Ng and published by Springer Science & Business Media. This book was released on 2005-02-15 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the International Symposium on High Performance Computational Science and Engineering 2004 (IFIP World Computer Congress) is an essential reference for both academic and professional researchers in the field of computational science and engineering. Computational Science and Engineering is increasingly becoming an emerging and promising discipline in shaping future research and development activities in academia and industry ranging from engineering, science, finance, economics, arts and humanitarian fields. New challenges are in modeling of complex systems, sophisticated algorithms, advanced scientific and engineering computing, and associated (multi-disciplinary) problem solving environments. The papers presented in this volume are specially selected to address the most up-to-date ideas, results, work-in-progress and research experience in the area of high performance computational techniques for science and engineering applications. This state-of-the-are volume presents the proceedings of the International Symposium on High Performance Computational Science and Engineering, held in conjunction with the IFIP World Computer Congress, August 2004, in Toulouse, France. The collection will be important not only for computational science and engineering experts and researchers but for all teachers and administrators interested in high performance computational techniques.

Numerical Methods for Roots of Polynomials - Part II

Author : J.M. McNamee
Publisher : Elsevier Inc. Chapters
ISBN 13 : 012807700X
Total Pages : 728 pages
Book Rating : 4.1/5 (28 download)

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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: This chapter treats several topics, starting with Bernoulli’s method. This method iteratively solves a linear difference equation whose coefficients are the same as those of the polynomial. The ratios of successive iterates tends to the root of largest magnitude. Special versions are used for complex and/or multiple roots. The iteration may be accelerated, and Aitken’s variation finds all the roots simultaneously. The Quotient-Difference algorithm uses two sequences(with a similar one for ). Then, if the roots are well separated, . Special techniques are used for roots of equal modulus. The Lehmer–Schur method uses a test to determine whether a given circle contains a root or not. Using this test we find an annulus which contains a root, whereas the circle does not. We cover the annulus with 8 smaller circles and test which one contains the roots. We repeat the process until a sufficiently small circle is known to contain the root. We also consider methods using integration, such as by Delves–Lyness and Kravanja et al.

Mathematical Aspects of Computer Science

Author : Jacob T. Schwartz
Publisher : American Mathematical Soc.
ISBN 13 : 9780821867280
Total Pages : 234 pages
Book Rating : 4.8/5 (672 download)

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Book Synopsis Mathematical Aspects of Computer Science by : Jacob T. Schwartz

Download or read book Mathematical Aspects of Computer Science written by Jacob T. Schwartz and published by American Mathematical Soc.. This book was released on 1967-12-31 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:

KWIC Index for Numerical Algebra

Author : Alston Scott Householder
Publisher :
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.F/5 ( download)

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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:

Point Estimation of Root Finding Methods

Author : Miodrag Petkovic
Publisher : Springer Science & Business Media
ISBN 13 : 3540778500
Total Pages : 222 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Point Estimation of Root Finding Methods by : Miodrag Petkovic

Download or read book Point Estimation of Root Finding Methods written by Miodrag Petkovic and published by Springer Science & Business Media. This book was released on 2008-05-29 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book sets out to state computationally verifiable initial conditions for predicting the immediate appearance of the guaranteed and fast convergence of iterative root finding methods. Attention is paid to iterative methods for simultaneous determination of polynomial zeros in the spirit of Smale's point estimation theory, introduced in 1986. Some basic concepts and Smale's theory for Newton's method, together with its modifications and higher-order methods, are presented in the first two chapters. The remaining chapters contain the recent author's results on initial conditions guaranteing convergence of a wide class of iterative methods for solving algebraic equations. These conditions are of practical interest since they depend only on available data, the information of a function whose zeros are sought and initial approximations. The convergence approach presented can be applied in designing a package for the simultaneous approximation of polynomial zeros.

Numerical Integration

Author : Patrick Keast
Publisher : Springer Science & Business Media
ISBN 13 : 9400938896
Total Pages : 389 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Numerical Integration by : Patrick Keast

Download or read book Numerical Integration written by Patrick Keast and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains refereed papers and extended abstracts of papers presented at the NATO Advanced Research Workshop entitled 'Numerical Integration: Recent Developments, Software and Applications', held at Dalhousie University, Halifax, Canada, August 11-15, 1986. The Workshop was attended by thirty-six scientists from eleven NATO countries. Thirteen invited lectures and twenty-two contributed lectures were presented, of which twenty-five appear in full in this volume, together with extended abstracts of the remaining ten. It is more than ten years since the last workshop of this nature was held, in Los Alamos in 1975. Many developments have occurred in quadrature in the intervening years, and it seemed an opportune time to bring together again researchers in this area. The development of QUADPACK by Piessens, de Doncker, Uberhuber and Kahaner has changed the focus of research in the area of one dimensional quadrature from the construction of new rules to an emphasis on reliable robust software. There has been a dramatic growth in interest in the testing and evaluation of software, stimulated by the work of Lyness and Kaganove, Einarsson, and Piessens. The earlier research of Patterson into Kronrod extensions of Gauss rules, followed by the work of Monegato, and Piessens and Branders, has greatly increased interest in Gauss-based formulas for one-dimensional integration.

Theory and Applications of Models of Computation

Author : Jin-Yi Cai
Publisher : Springer Science & Business Media
ISBN 13 : 3540340211
Total Pages : 809 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Theory and Applications of Models of Computation by : Jin-Yi Cai

Download or read book Theory and Applications of Models of Computation written by Jin-Yi Cai and published by Springer Science & Business Media. This book was released on 2006-05-11 with total page 809 pages. Available in PDF, EPUB and Kindle. Book excerpt: TAMC 2006 was the third conference in the series. The previous two meetings were held May 17–19, 2004 in Beijing, and May 17–20, 2005 in Kunming

Zeros of Gaussian Analytic Functions and Determinantal Point Processes

Author : John Ben Hough
Publisher : American Mathematical Soc.
ISBN 13 : 0821843737
Total Pages : 170 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Zeros of Gaussian Analytic Functions and Determinantal Point Processes by : John Ben Hough

Download or read book Zeros of Gaussian Analytic Functions and Determinantal Point Processes written by John Ben Hough and published by American Mathematical Soc.. This book was released on 2009 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines in some depth two important classes of point processes, determinantal processes and 'Gaussian zeros', i.e., zeros of random analytic functions with Gaussian coefficients. This title presents a primer on modern techniques on the interface of probability and analysis.

Applied and Computational Complex Analysis, Volume 1

Author : Peter Henrici
Publisher : John Wiley & Sons
ISBN 13 : 9780471608417
Total Pages : 704 pages
Book Rating : 4.6/5 (84 download)

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Book Synopsis Applied and Computational Complex Analysis, Volume 1 by : Peter Henrici

Download or read book Applied and Computational Complex Analysis, Volume 1 written by Peter Henrici and published by John Wiley & Sons. This book was released on 1988-02-23 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents applications as well as the basic theory of analytic functions of one or several complex variables. The first volume discusses applications and basic theory of conformal mapping and the solution of algebraic and transcendental equations. Volume Two covers topics broadly connected with ordinary differental equations: special functions, integral transforms, asymptotics and continued fractions. Volume Three details discrete fourier analysis, cauchy integrals, construction of conformal maps, univalent functions, potential theory in the plane and polynomial expansions.

Applied Parallel Computing

Author : Jack Dongarra
Publisher : Springer
ISBN 13 : 354033498X
Total Pages : 1195 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Applied Parallel Computing by : Jack Dongarra

Download or read book Applied Parallel Computing written by Jack Dongarra and published by Springer. This book was released on 2006-02-27 with total page 1195 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Applied Parallel Computing, PARA 2004, held in June 2004. The 118 revised full papers presented together with five invited lectures and 15 contributed talks were carefully reviewed and selected for inclusion in the proceedings. The papers are organized in topical sections.

Practical Computing on the Cell Broadband Engine

Author : Sandeep Koranne
Publisher : Springer Science & Business Media
ISBN 13 : 1441903089
Total Pages : 501 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Practical Computing on the Cell Broadband Engine by : Sandeep Koranne

Download or read book Practical Computing on the Cell Broadband Engine written by Sandeep Koranne and published by Springer Science & Business Media. This book was released on 2009-07-07 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical Programming in the Cell Broadband Engine offers a unique programming guide for the Cell Broadband Engine, demonstrating a large number of real-life programs to identify and solve problems in engineering, logic design, VLSI CAD, number-theory, graph-theory, computational geometry, image processing, and other subjects. Key features include: Numerous diagrams, mnemonics, tables, charts, code samples for making program development on the CBE as accessible as possible Comprehensive reading list for introductory material to the subject matter A website providing all source codes and sample-data for examples presented in this text.

Large-Scale Scientific Computing

Author : Ivan Lirkov
Publisher : Springer
ISBN 13 : 3540319956
Total Pages : 701 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Large-Scale Scientific Computing by : Ivan Lirkov

Download or read book Large-Scale Scientific Computing written by Ivan Lirkov and published by Springer. This book was released on 2006-02-15 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 5th International Conference on Large-Scale Scientific Computations, LSSC 2005, held in Sozopol, Bulgaria in June 2005. The 75 revised full papers presented together with five invited papers were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections.

Mathematical Foundations of Computer Science 2011

Author : Filip Murlak
Publisher : Springer
ISBN 13 : 364222993X
Total Pages : 630 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Mathematical Foundations of Computer Science 2011 by : Filip Murlak

Download or read book Mathematical Foundations of Computer Science 2011 written by Filip Murlak and published by Springer. This book was released on 2011-08-09 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the refereed proceedings of the 36th International Symposium on Mathematical Foundations of Computer Science, MFCS 2011, held in Warsaw, Poland, in August 2011. The 48 revised full papers presented together with 6 invited talks were carefully reviewed and selected from 129 submissions. Topics covered include algorithmic game theory, algorithmic learning theory, algorithms and data structures, automata, grammars and formal languages, bioinformatics, complexity, computational geometry, computer-assisted reasoning, concurrency theory, cryptography and security, databases and knowledge-based systems, formal specifications and program development, foundations of computing, logic in computer science, mobile computing, models of computation, networks, parallel and distributed computing, quantum computing, semantics and verification of programs, and theoretical issues in artificial intelligence.

Approximation Theory and Approximation Practice, Extended Edition

Author : Lloyd N. Trefethen
Publisher : SIAM
ISBN 13 : 1611975948
Total Pages : 375 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Approximation Theory and Approximation Practice, Extended Edition by : Lloyd N. Trefethen

Download or read book Approximation Theory and Approximation Practice, Extended Edition written by Lloyd N. Trefethen and published by SIAM. This book was released on 2019-01-01 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the fields most important ideas and results. Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online. The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation. This textbook is appropriate for advanced undergraduate or graduate students who have an understanding of numerical analysis and complex analysis. It is also appropriate for seasoned mathematicians who use MATLAB.

Computational Methods And Function Theory 1997 - Proceedings Of The Third Cmft Conference

Author : Nicolas Papamichael
Publisher : World Scientific
ISBN 13 : 9814544396
Total Pages : 666 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Computational Methods And Function Theory 1997 - Proceedings Of The Third Cmft Conference by : Nicolas Papamichael

Download or read book Computational Methods And Function Theory 1997 - Proceedings Of The Third Cmft Conference written by Nicolas Papamichael and published by World Scientific. This book was released on 1999-04-14 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains refereed state-of-the-art research articles and extensive surveys on the various aspects of interaction of complex variables and scientific computation as well as on related areas such as function theory and approximation theory.