Výsledky vyhľadávania - "QD algorithm"
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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…”
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A multidimensional generalization of the Rutishauser $qd$-algorithm
ISSN: 2075-9827, 2313-0210Vydavateľské údaje: Vasyl Stefanyk Precarpathian National University 30.12.2016Vydané v Karpats'kì matematinì publìkacìï (30.12.2016)“… of the Rutishauser $qd$-algorithm…”
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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…”
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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)“… where the differential qd algorithm with shifts (dqds) proposed by Fernando and Parlett enjoys often faster convergence while preserving high relative accuracy…”
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Two-Dimensional Generalization of the Rutishauser qd -Algorithm
ISSN: 1072-3374, 1573-8795Vydavateľské údaje: New York Springer US 04.07.2015Vydané v Journal of mathematical sciences (New York, N.Y.) (04.07.2015)“…A two-dimensional generalization of the Rutishauser qd -algorithm is proposed. The conditions of existence of this algorithm are established…”
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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)“… positive definite symmetric matrix. The aim of this paper is to generalize the qd algorithm for positive definite symmetric band matrices and to give the mean to expand the determinant of a five diagonal symmetric matrix…”
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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 main motivation is based on the fact that the standard quotient-difference (qd) algorithm can be numerically unstable…”
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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)“… Our approach consists in moving from a discontinuity point detection problem to a pole detection problem, then adapting the quotient-difference (qd…”
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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…”
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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 certain ordinary differential equation having…”
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Reliable root detection with the qd-algorithm: When Bernoulli, Hadamard and Rutishauser cooperate: Approximation and Extrapolation of convergent and divergent sequences and series (CIRM, Luminy - France, 2009)
ISSN: 0168-9274Vydavateľské údaje: Kidlington Elsevier 2010Vydané v Applied numerical mathematics (2010)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…”
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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)“… We also show that the QD-algorithm can be applied in order to generate new orthogonal polynomials in a simple way…”
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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 subject was more undefined in the matrix case. A new version of the QD algorithm for matrix problem, allows to extend to the vector and matrix cases the result of Stieltjes, expansion of a (scalar…”
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Vector Stieltjes Continued Fraction and Vector QD Algorithm
ISSN: 1017-1398, 1572-9265Vydavateľské údaje: New York Springer Nature B.V 01.08.2003Vydané v Numerical algorithms (01.08.2003)“… A new version of the vector QD algorithm allows to extend to the vector case the result which was known for one scalar function…”
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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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Bi-Hamiltonian structure of the qd algorithm and new discretizations of the Toda lattice
ISSN: 0375-9601, 1873-2429Vydavateľské údaje: Elsevier B.V 09.10.1995Vydané v Physics letters. A (09.10.1995)“…We introduce two new discretizations of the Toda lattice related to the qd algorithm…”
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A shift for accurate singular values¶in the differential qd algorithm
ISSN: 0008-0624, 1126-5434Vydavateľské údaje: 01.09.2001Vydané v Calcolo (01.09.2001)Získať plný text
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The Vector QD Algorithm for Smooth Functions (f, f′)
ISSN: 0021-9045, 1096-0430Vydavateľské údaje: Elsevier Inc 01.09.1996Vydané v Journal of approximation theory (01.09.1996)“…We deal with the functionz↦(f(z), f′(z)) wheref(z)=∑i⩾0aizi, (ai∈C) with limi→∞ai+1×ai−1/(ai)2=q. We investigate the convergence of the vector QD algorithm…”
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Implementation of the Orthogonal QD Algorithm for Lower Tridiagonal Matrices
Vydavateľské údaje: Athens The Steering Committee of The World Congress in Computer Science, Computer Engineering and Applied Computing (WorldComp) 01.01.2013Vydané v Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications (PDPTA) (01.01.2013)“…The orthogonal qd algorithm with shifts (oqds algorithm), proposed by von Matt, is an algorithm for computing the singular values of bidiagonal matrices…”
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