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Author : Gerry Miller
Publisher :
ISBN 13 :
Total Pages : 766 pages
Book Rating : 4.:/5 (37 download)
Download or read book Least-squares Approximation of Functions by Exponentials written by Gerry Miller and published by . This book was released on 1969 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joseph Burstein
Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.:/5 (43 download)
Download or read book Approximation by Exponentials written by Joseph Burstein and published by . This book was released on 1984 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 146 pages
Book Rating : 4.:/5 (66 download)
Download or read book Kitab shahadat al-Qurʼan li-kutub anbiyaʼ al-Rahman written by and published by . This book was released on 1800 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marvin E. Donaldson
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (566 download)
Download or read book Application of Least Squares Approximation to Nonlinear Functions written by Marvin E. Donaldson and published by . This book was released on 1967 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. Behrns
Publisher :
ISBN 13 :
Total Pages : 35 pages
Book Rating : 4.:/5 (227 download)
Download or read book Least Squares Fitting of Exponential Functions written by V. Behrns and published by . This book was released on 1970 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: In attempting to fit an exponential function to a set of data points by the method of least squares, the general situation is that the equations resulting from partial differentiation are transcendental in one or more of the parameters and cannot be solved by the usual algebraic methods. This paper develops two methods for dealing with the above difficulty. The first method employs Newton's Formula to fit the general form f(x) = alpha + beta(x to the power a)(e to the power(gamma(x to the power b))). The second method employs numerical analytic methods to fit the form f(x) = alpha + beta(e to the power(gamma x)). (Author).
Author : M. I. Liechenstein
Publisher :
ISBN 13 :
Total Pages : 129 pages
Book Rating : 4.:/5 (84 download)
Download or read book Two-parameter Exponential and Rational Functions for Least-square Approximations written by M. I. Liechenstein and published by . This book was released on 1968 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tapan K. Sarkar
Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (227 download)
Download or read book Approximation by a Sum of Complex Exponentials Utilizing the Pencil of Function Method written by Tapan K. Sarkar and published by . This book was released on 1981 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: The approximation of a function by a sum of complex exponentials, in general, is a nonlinear optimization problem. The optimization problem, however, is linearized through the application of the pencil of function method. This noniterative method yields the best exponential approximation for a given order of approximation. The method differs radically from the classical Wiener least squares approach in the sense that exponents calculated by the pencil of function method are directly proportional to the integrated squared error in the approximation. As the integrated squared error approaches zero, the exponents calculated by the pencil of function method approach the best least squares exponents in a continuous fashion. Among the advantages of the method are its natural insensitivity to noise in the data and explicit determination of the signal order. Examples are presented to illustrate the stability of this technique especially when noise is present in the data.
Author : David W. Kammler
Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (227 download)
Download or read book Approximation with Exponential Sums written by David W. Kammler and published by . This book was released on 1979 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: One major accomplishment has been the devising of a very general theory for establishing the existence of a best approximation to an arbitrary function by an exponential sum of a given order. A second result was the creation of a mathematical theory and workable numerical methods for constructing best Chebyshev, least mean, and least squares approximations for a given completely monotonic function by sums of exponentials. Finally, the compilation and publication of a bibliograph for approximation with exponential sums by the principal investigator will undoubtedly be of enormous value to others working in this area.
Author : Open University. Linear Mathematics Course Team
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.0/5 ( download)
Download or read book Least-squares Approximation written by Open University. Linear Mathematics Course Team and published by . This book was released on 1972 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joseph Leonard Walsh
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.3/5 (91 download)
Download or read book Note on Least-square Approximation to an Analytic Function by Polynomials, as Measured by a Surface Integral written by Joseph Leonard Walsh and published by . This book was released on 1958 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frank J. Zeleznik
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (31 download)
Download or read book Simulations Least-squares Approximation of a Function and Its First Integrals with Application to Thermodynamic Data written by Frank J. Zeleznik and published by . This book was released on 1961 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ake Bjorck
Publisher : SIAM
ISBN 13 : 9781611971484
Total Pages : 425 pages
Book Rating : 4.9/5 (714 download)
Download or read book Numerical Methods for Least Squares Problems written by Ake Bjorck and published by SIAM. This book was released on 1996-01-01 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: The method of least squares was discovered by Gauss in 1795. It has since become the principal tool to reduce the influence of errors when fitting models to given observations. Today, applications of least squares arise in a great number of scientific areas, such as statistics, geodetics, signal processing, and control. In the last 20 years there has been a great increase in the capacity for automatic data capturing and computing. Least squares problems of large size are now routinely solved. Tremendous progress has been made in numerical methods for least squares problems, in particular for generalized and modified least squares problems and direct and iterative methods for sparse problems. Until now there has not been a monograph that covers the full spectrum of relevant problems and methods in least squares. This volume gives an in-depth treatment of topics such as methods for sparse least squares problems, iterative methods, modified least squares, weighted problems, and constrained and regularized problems. The more than 800 references provide a comprehensive survey of the available literature on the subject.
Author : S. L. Huang
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (238 download)
Download or read book Optimum Least Squares Approximation with Exponentials written by S. L. Huang and published by . This book was released on 1968 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Aquinas Malachy Toal
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (131 download)
Download or read book Principle of Least Squares Applied to Exponential Functions written by Aquinas Malachy Toal and published by . This book was released on 1960 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Victor Pereyra
Publisher : Bentham Science Publishers
ISBN 13 : 1608050483
Total Pages : 206 pages
Book Rating : 4.6/5 (8 download)
Download or read book Exponential Data Fitting and Its Applications written by Victor Pereyra and published by Bentham Science Publishers. This book was released on 2010 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Real and complex exponential data fitting is an important activity in many different areas of science and engineering, ranging from Nuclear Magnetic Resonance Spectroscopy and Lattice Quantum Chromodynamics to Electrical and Chemical Engineering, Vision a"
Author : Ben Adcock
Publisher : SIAM
ISBN 13 : 161197688X
Total Pages : 310 pages
Book Rating : 4.6/5 (119 download)
Download or read book Sparse Polynomial Approximation of High-Dimensional Functions written by Ben Adcock and published by SIAM. This book was released on 2022-02-16 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over seventy years ago, Richard Bellman coined the term “the curse of dimensionality” to describe phenomena and computational challenges that arise in high dimensions. These challenges, in tandem with the ubiquity of high-dimensional functions in real-world applications, have led to a lengthy, focused research effort on high-dimensional approximation—that is, the development of methods for approximating functions of many variables accurately and efficiently from data. This book provides an in-depth treatment of one of the latest installments in this long and ongoing story: sparse polynomial approximation methods. These methods have emerged as useful tools for various high-dimensional approximation tasks arising in a range of applications in computational science and engineering. It begins with a comprehensive overview of best s-term polynomial approximation theory for holomorphic, high-dimensional functions, as well as a detailed survey of applications to parametric differential equations. It then describes methods for computing sparse polynomial approximations, focusing on least squares and compressed sensing techniques. Sparse Polynomial Approximation of High-Dimensional Functions presents the first comprehensive and unified treatment of polynomial approximation techniques that can mitigate the curse of dimensionality in high-dimensional approximation, including least squares and compressed sensing. It develops main concepts in a mathematically rigorous manner, with full proofs given wherever possible, and it contains many numerical examples, each accompanied by downloadable code. The authors provide an extensive bibliography of over 350 relevant references, with an additional annotated bibliography available on the book’s companion website (www.sparse-hd-book.com). This text is aimed at graduate students, postdoctoral fellows, and researchers in mathematics, computer science, and engineering who are interested in high-dimensional polynomial approximation techniques.
Author : Francis Richard Oliver
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (669 download)
Download or read book Properties of Ordinary Least Squares Estimates of Displaced Exponential Functions written by Francis Richard Oliver and published by . This book was released on 1988 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
