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检索条件"主题词=Qd-algorithm"
19 条 记 录,以下是11-20 订阅
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DSF chain for biorthogonal polynomials and its application to matrix eigenvalue problems
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2019年 347卷 273-295页
作者: Mukaihira, Atsushi Tsuboi, Yoshimasa Doshisha Univ Fac Sci & Engn Kyotanabe Kyoto Japan
A discrete-time integrable system, called the DSF chain, is derived from the compatibility condition of spectral equations for biorthogonal polynomials associated with the discrete Schur flow. The DSF algorithm for co... 详细信息
来源: 评论
Quasi-symmetric orthogonal polynomials on the real line: moments, quadrature rules and invariance under Christoffel modifications
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COMPUTATIONAL & APPLIED MATHEMATICS 2023年 第3期42卷 1-22页
作者: Veronese, Daniel O. Silva, Jairo S. Pereira, Junior A. UFTM Univ Fed Triangulo Mineiro Dept Matemat Aplicada ICTE BR-38064200 Uberaba MG Brazil UFMA Univ Fed Maranhao Dept Matemat BR-65080805 Sao Luis Maranhao Brazil UEPG Univ Estadual Ponta Grossa Dept Matemat & Estat BR-84030900 Ponta Grossa Parana Brazil
Given a, b ? R, m = min{a, b} and M = max{a, b}, we consider the orthogonal polynomials associated with nontrivial positive measures f for which supp(f) ? (-8, m] ? [M, 8) and (x - a)df (x) = -(x - b)df (-x + a + b). ... 详细信息
来源: 评论
A new algorithm for sparse interpolation of multivariate polynomials
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THEORETICAL COMPUTER SCIENCE 2008年 第2期409卷 180-185页
作者: Cuyt, Annie Lee, Wen-shin Univ Antwerp Dept Math & Comp Sci B-2020 Antwerp Belgium
To reconstruct a black box multivariate sparse polynomial from its floating point evaluations, the existing algorithms need to know upper bounds for both the number of terms in the polynomial and the partial degree in... 详细信息
来源: 评论
Formal vector orthogonal polynomials
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ADVANCES IN COMPUTATIONAL MATHEMATICS 1998年 第3期8卷 267-289页
作者: Salam, A Univ Littoral Lab Math Appl F-62228 Calais France
The aim of this paper is to define and to study orthogonal polynomials with respect to a linear functional whose moments are vectors. We show how a Clifford algebra allows us to construct such polynomials in a natural... 详细信息
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A generalization of the G-transformation and the related algorithms
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APPLIED NUMERICAL MATHEMATICS 2010年 第12期60卷 1221-1230页
作者: Brezinski, Claude He, Yi Hu, Xing-Biao Sun, Jian-Qing Chinese Acad Sci AMSS LSEC Inst Computat Math & Sci Beijing 100190 Peoples R China Univ Sci & Technol Lille CNRS Lab Paul Painleve UFR Math Pures & AppliqueesUMR 8524 F-59655 Villeneuve Dascq France Chinese Acad Sci Grad Sch Beijing 100190 Peoples R China
In this paper, a generalization of the G-transformation is proposed together with the corresponding auxiliary rs-algorithm for implementation. We show that the related generalization of the rs-algorithm is equivalent ... 详细信息
来源: 评论
A new presentation of orthogonal polynomials with applications to their computation
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Numerical algorithms 1991年 第2期1卷 207-221页
作者: Brezinski, C. Redivo Zaglia, M. Laboratoire d'Analyse Numérique et d'Optimisation UFR IEEA-M3 Université des Sciences et Techniques de Lille Flandres-Artois Villeneuve d'Ascq Cedex F-59655 France Dipartimento di Elettronica e Informatica Università degli Studi di Padova Padova I-35131 via Gradenigo 6/a Italy
In this paper a new presentation of orthogonal polynomials is given. It is based on the introduction of two auxiliary sequences of arbitrary monic polynomials and it leads to a very simple derivation of the usual dete... 详细信息
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Extracting Numerical Factors of Multivariate Polynomials from Taylor Expansions
Extracting Numerical Factors of Multivariate Polynomials fro...
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International Workshop on Symbolic-Numeric Computation
作者: Cuyt, Annie Lee, Wen-shin Univ Antwerp Dept Math & Comp Sci B-2020 Antwerp Belgium
We present a method to extract factors of multivariate polynomials with complex coefficients in floating point arithmetic. We establish the connection between the reciprocal of a multivariate polynomial and its Taylor... 详细信息
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A generalization of the G-transformation and the related algorithms
A generalization of the <i>G</i>-transformation and the rela...
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Conference on Approximation and Extrapolation of Convergent and Divergent Sequences and Series
作者: Brezinski, Claude He, Yi Hu, Xing-Biao Sun, Jian-Qing Chinese Acad Sci AMSS LSEC Inst Computat Math & Sci Beijing 100190 Peoples R China Univ Sci & Technol Lille CNRS Lab Paul Painleve UFR Math Pures & AppliqueesUMR 8524 F-59655 Villeneuve Dascq France Chinese Acad Sci Grad Sch Beijing 100190 Peoples R China
In this paper, a generalization of the G-transformation is proposed together with the corresponding auxiliary rs-algorithm for implementation. We show that the related generalization of the rs-algorithm is equivalent ... 详细信息
来源: 评论
Multivariate homogeneous two-point Pade approximants and continued fractions
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COMPUTATIONAL & APPLIED MATHEMATICS 2020年 第1期39卷 15-15页
作者: Chakir, Y. Abouir, J. Benouahmane, B. Univ Hassan II Casablanca Fac Sci & Technol Lab LMCMAN BP 146 Mohammadia 20650 Morocco
The multivariate homogeneous two-point Pade approximants have been defined and studied recently. In the current work, we consider higher-order approximants and derive error formulas of these approximants using orthogo... 详细信息
来源: 评论