Discrete Orthogonal Polynomials Am 164
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Author |
: J. Baik |
Publisher |
: Princeton University Press |
Total Pages |
: 179 |
Release |
: 2007-01-02 |
ISBN-10 |
: 9781400837137 |
ISBN-13 |
: 1400837138 |
Rating |
: 4/5 (37 Downloads) |
Synopsis Discrete Orthogonal Polynomials. (AM-164) by : J. Baik
This book describes the theory and applications of discrete orthogonal polynomials--polynomials that are orthogonal on a finite set. Unlike other books, Discrete Orthogonal Polynomials addresses completely general weight functions and presents a new methodology for handling the discrete weights case. J. Baik, T. Kriecherbauer, K. T.-R. McLaughlin & P. D. Miller focus on asymptotic aspects of general, nonclassical discrete orthogonal polynomials and set out applications of current interest. Topics covered include the probability theory of discrete orthogonal polynomial ensembles and the continuum limit of the Toda lattice. The primary concern throughout is the asymptotic behavior of discrete orthogonal polynomials for general, nonclassical measures, in the joint limit where the degree increases as some fraction of the total number of points of collocation. The book formulates the orthogonality conditions defining these polynomials as a kind of Riemann-Hilbert problem and then generalizes the steepest descent method for such a problem to carry out the necessary asymptotic analysis.
Author |
: Jinho Baik |
Publisher |
: Princeton University Press |
Total Pages |
: 178 |
Release |
: 2007 |
ISBN-10 |
: 9780691127347 |
ISBN-13 |
: 0691127344 |
Rating |
: 4/5 (47 Downloads) |
Synopsis Discrete Orthogonal Polynomials. (AM-164) by : Jinho Baik
Publisher description
Author |
: |
Publisher |
: |
Total Pages |
: |
Release |
: 2007 |
ISBN-10 |
: OCLC:909902839 |
ISBN-13 |
: |
Rating |
: 4/5 (39 Downloads) |
Synopsis Discrete Orthogonal Polynomials by :
Author |
: |
Publisher |
: |
Total Pages |
: 188 |
Release |
: 1940 |
ISBN-10 |
: MINN:31951D02683690R |
ISBN-13 |
: |
Rating |
: 4/5 (0R Downloads) |
Synopsis Discrete Orthogonal Polynomials by :
Author |
: Universiteit van Amsterdam. Dept. of Mathematics |
Publisher |
: |
Total Pages |
: 6 |
Release |
: 1985 |
ISBN-10 |
: OCLC:19022134 |
ISBN-13 |
: |
Rating |
: 4/5 (34 Downloads) |
Synopsis A Note on Discrete Orthogonal Polynomials by : Universiteit van Amsterdam. Dept. of Mathematics
Author |
: Arnold F. Nikiforov |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 388 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9783642747489 |
ISBN-13 |
: 3642747485 |
Rating |
: 4/5 (89 Downloads) |
Synopsis Classical Orthogonal Polynomials of a Discrete Variable by : Arnold F. Nikiforov
While classical orthogonal polynomials appear as solutions to hypergeometric differential equations, those of a discrete variable emerge as solutions of difference equations of hypergeometric type on lattices. The authors present a concise introduction to this theory, presenting at the same time methods of solving a large class of difference equations. They apply the theory to various problems in scientific computing, probability, queuing theory, coding and information compression. The book is an expanded and revised version of the first edition, published in Russian (Nauka 1985). Students and scientists will find a useful textbook in numerical analysis.
Author |
: Hervé Abdi |
Publisher |
: Springer |
Total Pages |
: 313 |
Release |
: 2016-10-13 |
ISBN-10 |
: 9783319406435 |
ISBN-13 |
: 3319406434 |
Rating |
: 4/5 (35 Downloads) |
Synopsis The Multiple Facets of Partial Least Squares and Related Methods by : Hervé Abdi
This volume presents state of the art theories, new developments, and important applications of Partial Least Square (PLS) methods. The text begins with the invited communications of current leaders in the field who cover the history of PLS, an overview of methodological issues, and recent advances in regression and multi-block approaches. The rest of the volume comprises selected, reviewed contributions from the 8th International Conference on Partial Least Squares and Related Methods held in Paris, France, on 26-28 May, 2014. They are organized in four coherent sections: 1) new developments in genomics and brain imaging, 2) new and alternative methods for multi-table and path analysis, 3) advances in partial least square regression (PLSR), and 4) partial least square path modeling (PLS-PM) breakthroughs and applications. PLS methods are very versatile methods that are now used in areas as diverse as engineering, life science, sociology, psychology, brain imaging, genomics, and business among both academics and practitioners. The selected chapters here highlight this diversity with applied examples as well as the most recent advances.
Author |
: Francisco Marcellàn |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 432 |
Release |
: 2006-06-19 |
ISBN-10 |
: 9783540310624 |
ISBN-13 |
: 3540310622 |
Rating |
: 4/5 (24 Downloads) |
Synopsis Orthogonal Polynomials and Special Functions by : Francisco Marcellàn
Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials? In the twentieth century the emphasis was on special functions satisfying linear differential equations, but this has now been extended to difference equations, partial differential equations and non-linear differential equations. The present set of lecture notes containes seven chapters about the current state of orthogonal polynomials and special functions and gives a view on open problems and future directions. The topics are: computational methods and software for quadrature and approximation, equilibrium problems in logarithmic potential theory, discrete orthogonal polynomials and convergence of Krylov subspace methods in numerical linear algebra, orthogonal rational functions and matrix orthogonal rational functions, orthogonal polynomials in several variables (Jack polynomials) and separation of variables, a classification of finite families of orthogonal polynomials in Askey’s scheme using Leonard pairs, and non-linear special functions associated with the Painlevé equations.
Author |
: K. H. Kwon |
Publisher |
: |
Total Pages |
: 18 |
Release |
: 1993 |
ISBN-10 |
: OCLC:247668774 |
ISBN-13 |
: |
Rating |
: 4/5 (74 Downloads) |
Synopsis Characterizations of Discrete Classical Orthogonal Polynomials by : K. H. Kwon
Author |
: Géza Freud |
Publisher |
: Elsevier |
Total Pages |
: 295 |
Release |
: 2014-05-17 |
ISBN-10 |
: 9781483159409 |
ISBN-13 |
: 148315940X |
Rating |
: 4/5 (09 Downloads) |
Synopsis Orthogonal Polynomials by : Géza Freud
Orthogonal Polynomials contains an up-to-date survey of the general theory of orthogonal polynomials. It deals with the problem of polynomials and reveals that the sequence of these polynomials forms an orthogonal system with respect to a non-negative m-distribution defined on the real numerical axis. Comprised of five chapters, the book begins with the fundamental properties of orthogonal polynomials. After discussing the momentum problem, it then explains the quadrature procedure, the convergence theory, and G. Szego's theory. This book is useful for those who intend to use it as reference for future studies or as a textbook for lecture purposes