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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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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
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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 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
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qd-algorithms and recurrence relations for biorthogonal polynomials
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 1999年 第1期107卷 53-72页
作者: da Rocha, Z Univ Porto Fac Ciencias Dept Matemat Aplicada P-4050 Porto Portugal
Biorthogonal polynomials P-n((i, j)) include as particular cases vector orthogonal polynomials of dimension d and - d(d is an element of N). We pay special attention to the cases of dimension 1 and -1. We discuss the ... 详细信息
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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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ON THE CONVERGENCE OF THE MULTIVARIATE HOMOGENEOUS qd-algorithm
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BIT 1994年 第4期34卷 535-545页
作者: CUYT, A UNIV INSTELLING ANTWERP DEPT MATH & COMP SCIB-2610 WILRIJKBELGIUM
The convergence of columns in the univariate qd-algorithm to reciprocals of polar singularities of meromorphic functions has often proved to be very useful. A multivariate qd-algorithm was discovered in 1982 for the c... 详细信息
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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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CONVERGENCE OF THE VECTOR qd-algorithm - ZEROS OF VECTOR ORTHOGONAL POLYNOMIALS
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 1989年 第1期25卷 33-46页
作者: VANISEGHEM, J UNIV SCI & TECH LILLE FLANDRES ARTOIS UFR MATH PURES & APPLF-59655 VILLENEUVE DASCQFRANCE
The convergence of the vector qd-algorithm, associated to d meromorphic functions, is established. As a consequence a De Montessus–De Ballore theorem for vector Padé approximants is proved. A short numerical stu... 详细信息
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VECTOR ORTHOGONAL RELATIONS - VECTOR qd-algorithm
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 1987年 第1期19卷 141-150页
作者: VANISEGHEM, J UNIV LILLE 1 UFR IEEAF-59655 VILLENEUVE DASCQFRANCE
Vector-Padé approximants to a function F = (ƒ 1 ; … ƒ d ) from C to C d have been defined, uniquely, without any auxiliary choice than the degrees of the numerator and the denominator (the same for all the compo... 详细信息
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