Download or read book Algorithms for Determining Rational Approximations written by Donald Martin WILLS and published by . This book was released on 1967 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fast Algorithms for Best Rational Approximations and Their Applications to Digital Filters written by Ali Sazegari and published by . This book was released on 1988 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rational Approximation and its Applications in Mathematics and Physics written by Jacek Gilewicz and published by Springer. This book was released on 2006-11-15 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Algorithm for Finding Rational Approximations written by H. F. JR. MATTSON and published by . This book was released on 1960 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rational approximation to a function provides a rapid and convenient way to calculate numerical values of the function to within a predetermined error. The question of how to find rational approximations to given functions is considered. Definitions of terms, a precise statement of what the criterion of best fit is, and statements of some classical results are given. Two closely related iterative methods for finding best rational approximations are defined. A proof of convergence of these methods is given for a special case (in which both methods are the (over) same), and these methods are compared with some others. Some results obtained by one of the iterative methods are presented, together with a brief description of the computer program used to obtain them. (Author).
Download or read book Algorithms for Rational Approximations for a Confluent Hypergeometric Function written by Yudell L. Lake and published by . This book was released on 1976 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the authors' volumes on the special functions, rational approximations for the confluent hypergeometric function (z sup a)U(a;c;z) were examined in some detail. This confluent function is very important in the applications since it includes as special cases the incomplete gamma function (special cases of which are exponential, sine and cosine integrals, Fresnel integrals and the error function), Bessel functions, parabolic cylinder functions and Coulomb wave functions. In the special case where a is unity, the confluent function becomes an incomplete gamma function. In this event, complete a priori error analyses for the main diagonal Pade approximations and much more were presented. For general parameters, the rational approximations treated were not of the Pade class. It was shown that the rational approximations converge, but a complete a priori analysis was not available. One of the purposes of this report is to correct this deficiency. FORTRAN programs are provided to evaluate the Pade and non-Pade rational approximations by using the appropriate recursion formulas to generate the numerator and denominator polynomials as a number, and to also evaluate the coefficients which define these polynomials.
Download or read book A Comparison of Three Algorithms for Computing Best Uniform Rational Approximations written by E. H. Kaufman and published by . This book was released on 1978 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algorithms for Approximation written by J. C. Mason and published by Oxford University Press, USA. This book was released on 1987 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term "approximation" here refers to the approximation of functions and data by simple functions. Emphasizing the development of useful algorithms and practical applications in defense and industry, the papers cover topics such as multivariate interpolation, optimization methods, constrained problems, spline fitting, data modelling, and applications in microwave measurement, isotropic antennas, sound measurement, and digitized contours. Includes a substantial catalog of existing algorithms. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Download or read book Algorithms for the Computation of Mathematical Functions written by Yudell L. Luke and published by . This book was released on 1977 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic formulas; Identification of functions; General remarks on the algorithms and programs; Chebyshev coefficients.
Download or read book Approximation with Rational Functions written by Donald J. Newman and published by American Mathematical Soc.. This book was released on 1979-12-31 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series of lectures treats certain amusing and interesting aspects of rational function approximations, striving for variety and diversity rather than depth or thoroughness. Graduate students and faculty, knowledgeable in the elements of real and complex analysis, should gain insight into recent developments in the field.
Download or read book Rational Approximation and Its Applications in Mathematics and Physics written by Jacek Gilewicz and published by Springer. This book was released on 1987 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algorithms for Approximation written by J.C. Mason and published by Chapman and Hall/CRC. This book was released on 1990 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises the proceedings of the second Shrivenham conference on Algorithms for Approximation. The term 'approximation' here refers to 'the approximation of functions and data by similar functions', and leads to such topics as curve and surface fitting, spline and piecewise polynomial methods, finite element modelling, and computer-aided design. Applications are given to a wide variety of areas such as surveying, meteorology, radar antenna and acoustic array design, topography, engineering metrology, and CAD/CAM. Emphasis at the meeting was placed on the development of useful algorithms, and on practical applications in defence and industry. In addition, some 40 submitted papers were selected and presented on a multitude of topics such as multivariate interpolation, optimization methods, constrained problems, spline fitting, data modelling, and applications in microwave measurement, isotropic antennas, sound measurement, and digitized contours.
Download or read book Introduction to Quantum Algorithms written by Johannes A. Buchmann and published by American Mathematical Society. This book was released on 2024-03-18 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum algorithms are among the most important, interesting, and promising innovations in information and communication technology. They pose a major threat to today's cybersecurity and at the same time promise great benefits by potentially solving previously intractable computational problems with reasonable effort. The theory of quantum algorithms is based on advanced concepts from computer science, mathematics, and physics. Introduction to Quantum Algorithms offers a mathematically precise exploration of these concepts, accessible to those with a basic mathematical university education, while also catering to more experienced readers. This comprehensive book is suitable for self-study or as a textbook for one- or two-semester introductory courses on quantum computing algorithms. Instructors can tailor their approach to emphasize theoretical understanding and proofs or practical applications of quantum algorithms, depending on the course's goals and timeframe.
Download or read book Congressus Numerantium written by and published by . This book was released on 1974 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rational Approximation of Real Functions written by P P Petrushev and published by . This book was released on 2013-09-25 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1987, this book is devoted to the approximation of real functions by real rational functions. These are, in many ways, a more convenient tool than polynomials, and interest in them was growing, especially since D. Newman's work in the mid-sixties. The authors aim at presenting the basic achievements of the subject and, for completeness, also discuss some topics from complex rational approximation. Certain classical and modern results from linear approximation theory and spline approximation are also included for comparative purposes. This book will be of value to anyone with an interest in approximation theory and numerical analysis.
Download or read book Methods of Numerical Approximation written by David Christopher Handscomb and published by . This book was released on 1966 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
Download or read book Rational Approximation and Interpolation written by P. R. Graves-Morris and published by . This book was released on 2014-01-15 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt:
