Suchergebnisse - "quotient-difference algorithm"

Calculation of the line spectrum frequencies using the quotient-difference scheme

Autoren: Davor Petrinovic Economides, Pattichis Maliotis, Papconstantinou et al.

Weitere Verfasser: Davor Petrinovic Economides, Pattichis Maliotis, Papconstantinou et al.

Quelle: 2000 10th Mediterranean Electrotechnical Conference. Information Technology and Electrotechnology for the Mediterranean Countries. Proceedings. MeleCon 2000 (Cat. No.00CH37099). 2:831-834

Schlagwörter: calculation, 03 medical and health sciences, 0202 electrical engineering, electronic engineering, information engineering, quotient-difference algorithm, 02 engineering and technology, line spectrum frequencies, root-finding, 0305 other medical science

Zugangs-URL: https://www.bib.irb.hr/41675
http://ieeexplore.ieee.org/iel5/7056/19013/00880062.pdf
http://ieeexplore.ieee.org/xpl/abstractKeywords.jsp?reload=true&arnumber=880062

固有値問題に関連する非自励型離散ハングリー可積分系の研究

Autoren: 新庄, 雅斗 中村, 佳正 山下, 信雄 et al.

Weitere Verfasser: 新庄, 雅斗 中村, 佳正 山下, 信雄 et al.

Schlagwörter: discrete integrable system, eigenvalue problem, asymptotic behavior, quotient-difference algorithm, fibonacci sequence

Dateibeschreibung: application/pdf; text/html

Zugangs-URL: https://ndlsearch.ndl.go.jp/books/R100000039-I10981928

Degree: 博士(情報学) -- 京都大学, Kyoto University

Accurate Singular Values and Differential QD Algorithms: Accurate singular values and differential qd algorithms

Autoren: Beresford N. Parlett K. V. Fernando

Quelle: Linear Algebra for Large Scale and Real-Time Applications ISBN: 9789048142460

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, quotient difference algorithm, algorithm, singular values, 4. Education, Parallel numerical computation, 0101 mathematics, parallel computation, bidiagonal matrix, 01 natural sciences

Dateibeschreibung: application/xml

An implementation of the dqds algorithm (positive case)

Autoren: Beresford N. Parlett Osni Marques

Quelle: Linear Algebra and its Applications. 309:217-259

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, IEEE arithmetic, Numerical Analysis, differential quotient-difference algorithm with shifts, Algebra and Number Theory, splitting, smallest eigenvalue, Discrete Mathematics and Combinatorics, shifting, Geometry and Topology, 0101 mathematics, 01 natural sciences, dqds algorithm

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/pii/S0024379500000100
https://www.sciencedirect.com/science/article/abs/pii/S0024379500000100
http://www.osti.gov/scitech/biblio/797820-implementation-dqds-algorithm-positive-case

離散可積分系による行列固有値問題の研究

Autoren: 赤岩, 香苗 中村, 佳正 矢ｹ崎, 一幸 et al.

Weitere Verfasser: 赤岩, 香苗 中村, 佳正 矢ｹ崎, 一幸 et al.

Schlagwörter: discrete integrable system, asymptotic behavior, inverse eigenvalue problem, totally nonnegative matrix, quotient-difference algorithm

Dateibeschreibung: application/pdf; text/html

Zugangs-URL: https://ndlsearch.ndl.go.jp/books/R100000039-I10200537

Degree: 博士(情報学) -- 京都大学, Kyoto University

Accurate recovery of recursion coefficients from Gaussian quadrature formulas

Autoren: Dirk P. Laurie

Quelle: Journal of Computational and Applied Mathematics. 112:165-180

Schlagwörter: algorithm, Applied Mathematics, recovery of recursion coefficients, quotient-difference algorithm, continued fractions, converse problem, Numerical quadrature and cubature formulas, Cauchy transform, 01 natural sciences, Approximate quadratures, numerical example, Computational Mathematics, Gaussian quadrature, Jacobi matrix, Padé approximants, qd algorithm, 0101 mathematics, Padé approximation, Continued fractions, complex-analytic aspects

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1398803
https://doi.org/10.1016/s0377-0427(99)00228-9
https://www.sciencedirect.com/science/article/abs/pii/S0377042799002289
https://www.sciencedirect.com/science/article/pii/S0377042799002289

Partial Padé prediction

Autoren: Marc Prévost Denis Vekemans

Quelle: Numerical Algorithms. 20:23-50

Schlagwörter: Extrapolation to the limit, deferred corrections, sequence extrapolation method, quotient-difference algorithm, stability, 01 natural sciences, epsilon algorithm, instability, rho algorithm, Convergence and divergence of series and sequences, convergence acceleration, \(q\)-\(d\) algorithm, partial Padé prediction, 0101 mathematics, Padé approximation, sequence transformation

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1310132
https://doi.org/10.1023/a:1019187330365

A vector Chebyshev algorithm

Autoren: D. E. Roberts

Quelle: Numerical Algorithms. 17:33-50

Schlagwörter: Orthogonal polynomials, Chebyshev algorithm, 512 Algebra, algorithms, 01 natural sciences, Clifford algebras, Designants, Approximation by rational functions, Vector Pad´e approximants, designants, Algorithms for approximation of functions, Quotient-difference algorithm, vector Chebyshev algorithm, QA Mathematics, Clifford algebra, 0101 mathematics, rational approximation, Padé approximation

Dateibeschreibung: application/xml; PDF

Zugangs-URL: https://zbmath.org/1185563
https://doi.org/10.1023/a:1011633327892
https://napier-repository.worktribe.com/283899/1/cheb.pdf
https://link.springer.com/article/10.1023/A%3A1011633327892
https://dblp.uni-trier.de/db/journals/na/na17.html#Roberts98
https://ui.adsabs.harvard.edu/abs/1998NuAlg..17...33R/abstract
http://researchrepository.napier.ac.uk/2425/1/cheb.pdf
https://link.springer.com/content/pdf/10.1023/A:1011633327892.pdf

On a vector q‐d algorithm: On a vector q-d algorithm

Autoren: David E Roberts

Quelle: Advances in Computational Mathematics. 8:193-219

Schlagwörter: Clifford algebras, spinors, Quadratic spaces, Clifford algebras, Numerical summation of series, Cross rule, 512 Algebra, vector continued fraction, quotient-difference algorithm, Quotientdifference algorithm, Power method, QA Mathematics, Clifford algebra, Vector Pad´e approximant, Vector continued fraction

Dateibeschreibung: application/xml; PDF

Zugangs-URL: https://zbmath.org/1185512
https://doi.org/10.1023/a:1018944213562
https://napier-repository.worktribe.com/284001/1/Vector_q-d_alg.pdf
http://researchrepository.napier.ac.uk/2426/1/Vector_q-d_alg.pdf
https://link.springer.com/article/10.1023/A:1018944213562
https://link.springer.com/content/pdf/10.1023/A:1018944213562.pdf
https://dblp.uni-trier.de/db/journals/adcm/adcm8.html#Roberts98

Floating-point versus Symbolic Computations in theQD-algorithm: Floating-point versus symbolic computations in the \(qd\)-algorithm

Autoren: Cuyt, Annie A.M.

Quelle: Journal of symbolic computation
Communications Anal. Th. Cont. Fr.

Schlagwörter: Extrapolation to the limit, deferred corrections, 0209 industrial biotechnology, convergence, Algebra and Number Theory, \(qd\)-algorithm, quotient-difference algorithm, 02 engineering and technology, Symbolic computation and algebraic computation, 01 natural sciences, continued fraction, Computational Mathematics, General theory of numerical methods in complex analysis (potential theory, etc.), 0101 mathematics, equivalence transformation, Continued fractions, complex-analytic aspects, floating-point algorithm

Dateibeschreibung: application/xml

Zugangs-URL: https://core.ac.uk/display/24334577
https://www.sciencedirect.com/science/article/pii/S0747717197901620#!
https://dblp.uni-trier.de/db/journals/jsc/jsc24.html#Cuyt97
https://www.sciencedirect.com/science/article/abs/pii/S0747717197901620
https://hdl.handle.net/10067/209890151162165141
https://hdl.handle.net/10067/123910151162165141

Orthogonal polynomial approach to discrete Lax pairs for initial boundary-value problems of the QD algorithm

Autoren: Alfred Ramani B. Grammaticos Vassilios G. Papageorgiou

Quelle: Letters in Mathematical Physics. 34:91-101

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, orthogonal polynomial theory, Lax pairs, 0103 physical sciences, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), quotient-difference algorithm, 0101 mathematics, 01 natural sciences, Additive difference equations, \(n\)-body problems

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1007/BF00739089
https://ui.adsabs.harvard.edu/abs/1995LMaPh..34...91P/abstract

On the convergence of the multivariate 'homogeneous'qd-algorithm: On the convergence of the multivariate ``homogeneous'' qd-algorithm

Autoren: Cuyt, Annie A.M.

Quelle: BIT

Schlagwörter: polar singularities, convergence, qd-algorithm, Numerical summation of series, quotient-difference algorithm, 0101 mathematics, multivariate qdg-algorithm, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/739436
https://doi.org/10.1007/bf01934266
https://link.springer.com/content/pdf/10.1007/BF01934266.pdf
https://link.springer.com/article/10.1007/BF01934266
https://hdl.handle.net/10067/95540151162165141

Singular rules for a multivariate quotient-difference algorithm

Autoren: Cuyt, Annie A.M. Allouche, Hassane

Quelle: Numerical algorithms

Schlagwörter: Extrapolation to the limit, deferred corrections, Approximation by rational functions, algorithm, multivariate quotient-difference algorithm, Numerical interpolation, Multidimensional problems, interpolation basis, 0101 mathematics, Convergence and divergence of continued fractions, 01 natural sciences, \(q-d\) algorithm, multivariate rational approximation, continued fraction

Dateibeschreibung: application/xml

Zugangs-URL: https://dblp.uni-trier.de/db/journals/na/na6.html#AlloucheC94a
https://link.springer.com/article/10.1007/BF02149767
http://ui.adsabs.harvard.edu/abs/1994NuAlg...6..137A/abstract
https://link.springer.com/content/pdf/10.1007/BF02149767.pdf
https://hdl.handle.net/10067/95520151162165141

A Completed Theory of the Unsymmetric Lanczos Process and Related Algorithms, Part I: A completed theory of the unsymmetric Lanczos process and related algorithms. II

Autoren: Martin H. Gutknecht

Quelle: SIAM Journal on Matrix Analysis and Applications. 13:594-639

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, recurrence relations, BIORES, Iterative numerical methods for linear systems, staircase, bi-conjugate gradients, breakdowns, formal orthogonal polynomials, 01 natural sciences, Padé approximants, qd algorithm, 0101 mathematics, bi-orthogonalization, unsymmetric Lanczos bi-orthogonalization algorithm, orthogonal polynomials, Padé approximation, recurrences, BIORTHORES, 4. Education, unsymmetric Lanczos algorithm, biconjugate gradient algorithm, BIODIR, continued fraction, quotient difference algorithm, BIOMIN, BO algorithm

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/58164
https://doi.org/10.1137/0613037
https://dl.acm.org/doi/10.1137/0613037
https://epubs.siam.org/doi/abs/10.1137/0613037
https://locus.siam.org/doi/abs/10.1137/0613037
https://doi.org/10.1137/0613037

On Rutishauser’s Approach to Self-Similar Flows

Autoren: Watkins, David S. Elsner, Ludwig

Quelle: SIAM Journal on Matrix Analysis and Applications. 11:301-311

Schlagwörter: LR algorithm, Quotient-difference algorithm, Self-similar flow, 0101 mathematics, 01 natural sciences, QR algorithm, Toda flow

Dateibeschreibung: application/pdf

Zugangs-URL: https://pub.uni-bielefeld.de/download/1776214/2312109/Elsner_055.pdf
https://epubs.siam.org/doi/10.1137/0611020
https://dl.acm.org/doi/10.1137/0611020
https://locus.siam.org/doi/abs/10.1137/0611020

An Implemention of Christoffel's Theorem in the Theory of Orthogonal Polynomials

Autoren: Galant, David

Quelle: Mathematics of Computation, 1971 Jan 01. 25(113), 111-113.

Zugangs-URL: https://www.jstor.org/stable/2005136

A vector Chebysev algorithm.

Autoren: Roberts, D.E.

Schlagwörter: Clifford algebras, Orthogonal polynomials, Quotient-difference algorithm, Chebyshev algorithm, Vector Pad´e approximants, Designants, 512 Algebra, QA Mathematics

Relation: http://researchrepository.napier.ac.uk/id/eprint/2425

Verfügbarkeit: https://doi.org/10.1023/A%3A1011633327892
https://napier-repository.worktribe.com/283899/1/cheb.pdf
http://researchrepository.napier.ac.uk/id/eprint/2425

The Unsymmetric Lanczos Algorithms And Their Relations To Padé Approximation, Continued Fractions, And The QD Algorithm

Autoren: Martin H. Gutknecht The Pennsylvania State University CiteSeerX Archives

Weitere Verfasser: Martin H. Gutknecht The Pennsylvania State University CiteSeerX Archives

Quelle: http://www.sam.math.ethz.ch/~mhg/pub/CopperMtn90.ps.Z.

Schlagwörter: approximation, continued fractions, quotient difference algorithm, qd algorithm, moment problem

Dateibeschreibung: application/postscript

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.34.5005; http://www.sam.math.ethz.ch/~mhg/pub/CopperMtn90.ps.Z

Verfügbarkeit: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.34.5005
http://www.sam.math.ethz.ch/~mhg/pub/CopperMtn90.ps.Z

Bestimmung der Eigenwerte und Eigenvektoren einer Matrix mit Hilfe des Quotienten-Differenzen-Algorithmus

Autoren: Heinz Rutishauser

Quelle: Der Quotienten-Differenzen-Algorithmus ISBN: 9783764303235

Schlagwörter: Numerical computation of eigenvalues and eigenvectors of matrices, numerical analysis, eigenvalues, eigenvectors, quotient-difference algorithm, matrix

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3111460
https://doi.org/10.1007/bf01589764
http://ui.adsabs.harvard.edu/abs/1955ZaMP....6..387R/abstract
https://link.springer.com/content/pdf/10.1007/BF01589764.pdf
https://link.springer.com/chapter/10.1007/978-3-0348-7175-4_4

Quotienten-Differenzen-Algorithmus: Beweis der Regeln von Rutishauser

Autoren: Wolfgang Seewald

Quelle: Numerische Mathematik. 40:93-98

Schlagwörter: sequence of polynomials, General theory of numerical methods in complex analysis (potential theory, etc.), poles of a meromorphic function, convergence, Algorithms for approximation of functions, quotient-difference algorithm, 0101 mathematics, Approximation in the complex plane, Meromorphic functions of one complex variable (general theory), 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1007/BF01459078