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Divergence Of Vector Valued Rational Interpolants To Meromorphic Functions
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Book Synopsis Divergence of Vector-valued Rational Interpolants to Meromorphic Functions by : Peter Russell Graves-Morris
Download or read book Divergence of Vector-valued Rational Interpolants to Meromorphic Functions written by Peter Russell Graves-Morris and published by . This book was released on 1988 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Vector Extrapolation Methods with Applications by : Avram Sidi
Download or read book Vector Extrapolation Methods with Applications written by Avram Sidi and published by SIAM. This book was released on 2017-09-26 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important problem that arises in different disciplines of science and engineering is that of computing limits of sequences of vectors of very large dimension. Such sequences arise, for example, in the numerical solution of systems of linear and nonlinear equations by fixed-point iterative methods, and their limits are simply the required solutions to these systems. The convergence of these sequences, which is very slow in many cases, can be accelerated successfully by using suitable vector extrapolation methods. Vector Extrapolation Methods with Applications is the first book fully dedicated to the subject of vector extrapolation methods. It is a self-contained, up-to-date, and state-of-the-art reference on the theory and practice of the most useful methods. It covers all aspects of the subject, including development of the methods, their convergence study, numerically stable algorithms for their implementation, and their various applications. It also provides complete proofs in most places. As an interesting application, the author shows how these methods give rise to rational approximation procedures for vector-valued functions in the complex plane, a subject of importance in model reduction problems among others. This book is intended for numerical analysts, applied mathematicians, and computational scientists and engineers in fields such as computational fluid dynamics, structures, and mechanical and electrical engineering, to name a few. Since it provides complete proofs in most places, it can also serve as a textbook in courses on acceleration of convergence of iterative vector processes, for example.
Book Synopsis Pade Approximants by : George Allen Baker
Download or read book Pade Approximants written by George Allen Baker and published by Cambridge University Press. This book was released on 1996-01-26 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this book was reviewed in 1982 as "the most extensive treatment of Pade approximants actually available." This second edition has been thoroughly updated, with a substantial new chapter on multiseries approximants. Applications to statistical mechanics and critical phenomena are extensively covered, and there are newly extended sections devoted to circuit design, matrix Pade approximation, and computational methods. This succinct and straightforward treatment will appeal to scientists, engineers, and mathematicians alike.
Book Synopsis Rational Approximations from Power Series of Vector-valued Meromorphic Functions by : Avram Sidi
Download or read book Rational Approximations from Power Series of Vector-valued Meromorphic Functions written by Avram Sidi and published by . This book was released on 1992 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Rational Approximation and Interpolation by : P.R. Graves-Morris
Download or read book Rational Approximation and Interpolation written by P.R. Graves-Morris and published by Springer. This book was released on 2006-11-14 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Numerical Methods and Rational Approximation by : A. Cuyt
Download or read book Nonlinear Numerical Methods and Rational Approximation written by A. Cuyt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gu!ik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; use Stein spaces. And in addition to this there are and prediction and electrical engineering can such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Download or read book Mathematical Reviews written by and published by . This book was released on 2003-05 with total page 870 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Rational Interpolation of Meromorphic Functions in Several Complex Variables by : Yan Zhao
Download or read book Rational Interpolation of Meromorphic Functions in Several Complex Variables written by Yan Zhao and published by . This book was released on 1999 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis British Reports, Translations and Theses by : British Library. Document Supply Centre
Download or read book British Reports, Translations and Theses written by British Library. Document Supply Centre and published by . This book was released on 1990 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Rational Approximations from Power Series of Vector-valued Meromorphic Functions with an Application to Matrix Eigenvalue Problems by : Avram Sidi
Download or read book Rational Approximations from Power Series of Vector-valued Meromorphic Functions with an Application to Matrix Eigenvalue Problems written by Avram Sidi and published by . This book was released on 1991 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Interpolation with Meromorphic Functions of Minimal Norm by : William Alan Scales
Download or read book Interpolation with Meromorphic Functions of Minimal Norm written by William Alan Scales and published by . This book was released on 1982 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Analysis and Mathematical Modelling by : Andrzej Wakulicz
Download or read book Numerical Analysis and Mathematical Modelling written by Andrzej Wakulicz and published by . This book was released on 1990 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Rational interpolation to meromorphic functions by : Hans Wallin
Download or read book Rational interpolation to meromorphic functions written by Hans Wallin and published by . This book was released on 1980 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Course in Complex Analysis and Riemann Surfaces by : Wilhelm Schlag
Download or read book A Course in Complex Analysis and Riemann Surfaces written by Wilhelm Schlag and published by American Mathematical Society. This book was released on 2014-08-06 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex analysis is a cornerstone of mathematics, making it an essential element of any area of study in graduate mathematics. Schlag's treatment of the subject emphasizes the intuitive geometric underpinnings of elementary complex analysis that naturally lead to the theory of Riemann surfaces. The book begins with an exposition of the basic theory of holomorphic functions of one complex variable. The first two chapters constitute a fairly rapid, but comprehensive course in complex analysis. The third chapter is devoted to the study of harmonic functions on the disk and the half-plane, with an emphasis on the Dirichlet problem. Starting with the fourth chapter, the theory of Riemann surfaces is developed in some detail and with complete rigor. From the beginning, the geometric aspects are emphasized and classical topics such as elliptic functions and elliptic integrals are presented as illustrations of the abstract theory. The special role of compact Riemann surfaces is explained, and their connection with algebraic equations is established. The book concludes with three chapters devoted to three major results: the Hodge decomposition theorem, the Riemann-Roch theorem, and the uniformization theorem. These chapters present the core technical apparatus of Riemann surface theory at this level. This text is intended as a detailed, yet fast-paced intermediate introduction to those parts of the theory of one complex variable that seem most useful in other areas of mathematics, including geometric group theory, dynamics, algebraic geometry, number theory, and functional analysis. More than seventy figures serve to illustrate concepts and ideas, and the many problems at the end of each chapter give the reader ample opportunity for practice and independent study.
Book Synopsis Complex Analysis by : Elias M. Stein
Download or read book Complex Analysis written by Elias M. Stein and published by Princeton University Press. This book was released on 2010-04-22 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to the main properties of holomorphic functions, whose proofs are generally short and quite illuminating: the Cauchy theorems, residues, analytic continuation, the argument principle. With this background, the reader is ready to learn a wealth of additional material connecting the subject with other areas of mathematics: the Fourier transform treated by contour integration, the zeta function and the prime number theorem, and an introduction to elliptic functions culminating in their application to combinatorics and number theory. Thoroughly developing a subject with many ramifications, while striking a careful balance between conceptual insights and the technical underpinnings of rigorous analysis, Complex Analysis will be welcomed by students of mathematics, physics, engineering and other sciences. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Complex Analysis is the second, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.
Book Synopsis Essentials of Padé Approximants by : George A. Jr. Baker
Download or read book Essentials of Padé Approximants written by George A. Jr. Baker and published by Elsevier. This book was released on 1975-01-01 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essentials of Padé Approximants
Download or read book Referativnyĭ zhurnal written by and published by . This book was released on 1982 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
