Výsledky vyhľadávania - "QD algorithm"
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Accurate quotient-difference algorithm: Error analysis, improvements and applications
ISSN: 0096-3003, 1873-5649Vydavateľské údaje: Elsevier Inc 15.09.2017Vydané v Applied mathematics and computation (15.09.2017)“…The compensated quotient-difference (Compqd) algorithm is proposed along with some applications. The main motivation is based on the fact that the standard…”
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Quasi-symmetric orthogonal polynomials on the real line: moments, quadrature rules and invariance under Christoffel modifications
ISSN: 2238-3603, 1807-0302Vydavateľské údaje: Cham Springer International Publishing 01.04.2023Vydané v Computational & applied mathematics (01.04.2023)“…Given a , b ∈ R , m = min { a , b } and M = max { a , b } , we consider the orthogonal polynomials associated with nontrivial positive measures ϕ for which s u…”
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On the calculation of the poles of multivariate meromorphic functions using the symbolic-numeric two-point qd-algorithm
ISSN: 1017-1398, 1572-9265Vydavateľské údaje: New York Springer US 01.08.2020Vydané v Numerical algorithms (01.08.2020)“…The so-called quotient-difference algorithm, or qd-algorithm, is used for determining the poles of a meromorphic function from its Taylor coefficients. A…”
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Multivariate homogeneous two-point Padé approximants and continued fractions
ISSN: 2238-3603, 1807-0302Vydavateľské údaje: Cham Springer International Publishing 01.03.2020Vydané v Computational & applied mathematics (01.03.2020)“…The multivariate homogeneous two-point Padé approximants have been defined and studied recently. In the current work, we consider higher-order approximants and…”
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Differential qd Algorithm with Shifts for Rank-Structured Matrices
ISSN: 0895-4798, 1095-7162Vydavateľské údaje: Philadelphia Society for Industrial and Applied Mathematics 01.01.2012Vydané v SIAM journal on matrix analysis and applications (01.01.2012)“…Although QR iterations dominate in eigenvalue computations, there are several important cases when alternative LR-type algorithms may be preferable, in…”
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Detecting discontinuity points from spectral data with the quotient-difference (qd) algorithm
ISSN: 0377-0427, 1879-1778Vydavateľské údaje: Elsevier B.V 01.03.2012Vydané v Journal of computational and applied mathematics (01.03.2012)“…This paper introduces a new technique for the localization of discontinuity points from spectral data. Through this work, we will be able to detect…”
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A generalization of the G-transformation and the related algorithms
ISSN: 0168-9274, 1873-5460Vydavateľské údaje: Elsevier B.V 01.12.2010Vydané v Applied numerical mathematics (01.12.2010)“…In this paper, a generalization of the G-transformation is proposed together with the corresponding auxiliary rs-algorithm for implementation. We show that the…”
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Markov–Bernstein inequalities for generalized Gegenbauer weight
ISSN: 0168-9274, 1873-5460Vydavateľské údaje: Kidlington Elsevier B.V 01.12.2011Vydané v Applied numerical mathematics (01.12.2011)“…The Markov–Bernstein inequalities for generalized Gegenbauer weight are studied. A special basis of the vector space P n of real polynomials in one variable of…”
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Generalized qd algorithm for block band matrices
ISSN: 1017-1398, 1572-9265Vydavateľské údaje: Boston Springer US 01.11.2012Vydané v Numerical algorithms (01.11.2012)“…The generalized qd algorithm for block band matrices is an extension of the block qd algorithm applied to a block tridiagonal matrix. This algorithm is applied…”
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Reliable root detection with the qd-algorithm: When Bernoulli, Hadamard and Rutishauser cooperate
ISSN: 0168-9274, 1873-5460Vydavateľské údaje: Elsevier B.V 01.12.2010Vydané v Applied numerical mathematics (01.12.2010)“…When using Rutishauser's qd-algorithm for the determination of the roots of a polynomial (originally the poles of a meromorphic function), or for related…”
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qd block algorithm
ISSN: 0168-9274, 1873-5460Vydavateľské údaje: Elsevier B.V 01.12.2010Vydané v Applied numerical mathematics (01.12.2010)“…The block qd algorithm is studied in order to obtain some properties about the asymptotic behavior of some eigenvalues of a block tridiagonal positive definite…”
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Convergence acceleration algorithms related to a generalized E-transformation and its particular cases
ISSN: 0916-7005, 1868-937XVydavateľské údaje: Japan Springer Japan 01.06.2013Vydané v Japan journal of industrial and applied mathematics (01.06.2013)“…In this paper, a generalized E-transformation arising from the study of a generalization of sequence transformations and triangular recursion schemes is…”
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Numerical solution of singular regular boundary value problems by pole detection with qd-algorithm
ISSN: 0377-0427, 1879-1778Vydavateľské údaje: Kidlington Elsevier B.V 15.11.2009Vydané v Journal of computational and applied mathematics (15.11.2009)“…In this paper, we present a method using qd-algorithm combined with finite difference method for numerically solving singular boundary value problems for…”
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The epsilon algorithm and related topics
ISSN: 0377-0427, 1879-1778Vydavateľské údaje: Elsevier B.V 01.10.2000Vydané v Journal of computational and applied mathematics (01.10.2000)“…The epsilon algorithm is recommended as the best all-purpose acceleration method for slowly converging sequences. It exploits the numerical precision of the…”
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Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle
ISSN: 1815-0659, 1815-0659Vydavateľské údaje: Kiev National Academy of Sciences of Ukraine 01.01.2009Vydané v Symmetry, integrability and geometry, methods and applications (01.01.2009)“…Using the technique of the elliptic Frobenius determinant, we construct new elliptic solutions of the QD-algorithm. These solutions can be interpreted as…”
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Generalized qd algorithm and Markov–Bernstein inequalities for Jacobi weight
ISSN: 1017-1398, 1572-9265Vydavateľské údaje: Boston Springer US 01.08.2009Vydané v Numerical algorithms (01.08.2009)“…The Markov–Bernstein inequalities for the Jacobi measure remained to be studied in detail. Indeed the tools used for obtaining lower and upper bounds of the…”
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A Preliminary Study of Multi-task MAP-Elites with Knowledge Transfer for Robotic Arm Design
Vydavateľské údaje: IEEE 18.07.2022Vydané v 2022 IEEE Congress on Evolutionary Computation (CEC) (18.07.2022)“…The structure design of robotic arms is of great importance on completing industrial tasks successfully. This is a typical multi-task optimization problem when…”
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Konferenčný príspevok.. -
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Stieltjes continued fraction and QD algorithm: scalar, vector, and matrix cases
ISSN: 0024-3795, 1873-1856Vydavateľské údaje: New York, NY Elsevier Inc 01.06.2004Vydané v Linear algebra and its applications (01.06.2004)“…The definition, in previous studies, of vector Stieltjes continued fractions in connection with spectral properties of band operators with intermediate zero…”
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Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle
ISSN: 1815-0659Vydavateľské údaje: SIGMA (Symmetry, Integrability and Geometry: Methods and Application) 19.03.2009Vydané v Symmetry, Integrability and Geometry: Methods and Applications (19.03.2009)Získať plný text
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The Orthogonal qd-Algorithm
ISSN: 1064-8275, 1095-7197Vydavateľské údaje: Philadelphia Society for Industrial and Applied Mathematics 01.07.1997Vydané v SIAM journal on scientific computing (01.07.1997)“…The orthogonal qd-algorithm is presented to compute the singular value decomposition of a bidiagonal matrix. This algorithm represents a modification of…”
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