Výsledky vyhledávání - "QD algorithm"

Retrieval of initial condition for Burgers' equation using reduced-order EnKF via POD-based sparse observations

Autoři: Li, Jie Wang, Yuepeng Ren, Zhigang

Zdroj: Journal of Industrial and Management Optimization. 19:4222-4232

Témata: Ill-posedness and regularization problems in numerical linear algebra, KdV equations (Korteweg-de Vries equations), Burgers' equation, data assimilation, QD algorithm, sparse observations, ensemble Kalman filter, Inference from stochastic processes and prediction

Popis souboru: application/xml

Skew-Symmetric Differential qd Algorithm: Skew-symmetric differential \(qd\) algorithm

Autoři: Sanja Singer Saša Singer

Zdroj: Applied Numerical Analysis & Computational Mathematics. 2:134-151

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, differential \(qd\) algorithm, Computational methods for sparse matrices, tridiagonal matrices, skew-symmetric matrices, eigenvalue computation, differential qd algorithm, eigenvalue, stability, 0101 mathematics, 01 natural sciences, symplectic QR factorizations

Popis souboru: application/xml

Přístupová URL adresa: https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/anac.200410030
https://www.bib.irb.hr/191484
https://www.onlinelibrary.wiley.com/doi/abs/10.1002/anac.200410030
https://www.onlinelibrary.wiley.com/doi/pdf/10.1002/anac.200410030

Detecting discontinuity points from spectral data with the quotient-difference (qd) algorithm

Autoři: Hassane Allouche Noura Ghanou Khalid Tigma

Zdroj: Journal of Computational and Applied Mathematics. 236:2406-2424

Témata: Location of discontinuity points, Computational Mathematics, Applied Mathematics, Gibbs phenomenon, Qd-algorithm, Edge detection, 0101 mathematics, Piecewise smooth function, Fourier series, 01 natural sciences

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0377042711005978
https://documat.unirioja.es/servlet/articulo?codigo=3846378
http://www.sciencedirect.com/science/article/pii/S0377042711005978
https://core.ac.uk/display/82598540
https://dblp.uni-trier.de/db/journals/jcam/jcam236.html#AlloucheGT12
https://dialnet.unirioja.es/servlet/articulo?codigo=3846378

From qd to LR, or, how were the qd and LR algorithms discovered?

Autoři: Gutknecht, Martin H. Parlett, Beresford N.

Zdroj: IMA Journal of Numerical Analysis, 31 (3)

Témata: LR algorithm, Matrix eigenvalues, qd algorithm, QR algorithm, Rutishauser, 0101 mathematics, 01 natural sciences

Popis souboru: application/application/pdf

Přístupová URL adresa: https://www.research-collection.ethz.ch/bitstream/20.500.11850/159536/2/drq003.pdf
http://www.sam.math.ethz.ch/~mhg/pub/GutPar-IMA.pdf
http://imajna.oxfordjournals.org/content/31/3/741.abstract
http://academic.oup.com/imajna/article-abstract/31/3/741/666375
https://academic.oup.com/imajna/article-abstract/31/3/741/666375
http://hdl.handle.net/20.500.11850/159536
http://doc.rero.ch/record/299139/files/drq003.pdf

Numerical solution of singular regular boundary value problems by pole detection with qd-algorithm

Autoři: N. Marhraoui H. Allouche

Zdroj: Journal of Computational and Applied Mathematics. 233:420-436

Témata: Boundary value problems, qd-Algorithm, Computational Mathematics, Singularity, Pole detection, Applied Mathematics, Finite difference scheme, 0101 mathematics, Degenerate problems, 01 natural sciences, Formally orthogonal Hadamard polynomials, Fröbenius method

Přístupová URL adresa: https://dblp.uni-trier.de/db/journals/jcam/jcam233.html#AlloucheM09
https://documat.unirioja.es/servlet/articulo?codigo=3079687
https://ui.adsabs.harvard.edu/abs/2009JCoAM.233..420A/abstract
https://dialnet.unirioja.es/servlet/articulo?codigo=3079687
https://www.sciencedirect.com/science/article/pii/S0377042709004403
https://www.sciencedirect.com/science/article/abs/pii/S0377042709004403#!

A new algorithm for sparse interpolation of multivariate polynomials

Autoři: Cuyt, Annie Lee, Wen-shin University of Antwerp a další

Přispěvatelé: Cuyt, Annie Lee, Wen-shin University of Antwerp a další

Zdroj: Theoretical computer science

Témata: Hadamard polynomial, qd-algorithm, Early termination, 0102 computer and information sciences, Black box polynomial, Generalized eigenvalue, 0101 mathematics, 01 natural sciences, Mathematics, Symbolic–numeric sparse interpolation, Theoretical Computer Science, Computer Science(all)

Popis souboru: application/pdf; pdf

Přístupová URL adresa: http://www.sciencedirect.com/science/article/pii/S0304397508006385
https://dblp.uni-trier.de/db/journals/tcs/tcs409.html#CuytL08
https://dl.acm.org/doi/10.1016/j.tcs.2008.09.002
https://core.ac.uk/display/82482497
https://dspace.stir.ac.uk/handle/1893/29005
https://www.sciencedirect.com/science/article/pii/S0304397508006385
https://hdl.handle.net/10067/759370151162165141
https://repository.uantwerpen.be/docman/irua/ae6289/491f1ac6.pdf

The Orthogonal qd-Algorithm: The orthogonal qd-algorithm

Autoři: Urs von Matt

Zdroj: SVD and Signal Processing III ISBN: 9780444821072

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, Numerical solutions to overdetermined systems, pseudoinverses, orthogonal qd-algorithm, 4. Education, singular value decomposition, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, generalized Givens transformation, 0101 mathematics, 16. Peace & justice, 01 natural sciences, Laguerre's method

Popis souboru: application/xml

Přístupová URL adresa: https://epubs.siam.org/doi/abs/10.1137/S1064827594274887
https://www.sciencedirect.com/science/article/pii/B9780444821072500078
https://drum.lib.umd.edu/bitstream/1903/614/4/CS-TR-3211.1.pdf
https://dl.acm.org/doi/10.1137/S1064827594274887
https://drum.lib.umd.edu/handle/1903/614
https://doi.org/10.1137/S1064827594274887

A new presentation of orthogonal polynomials with applications to their computation

Autoři: C. Brezinski REDIVO ZAGLIA, MICHELA

Zdroj: Numerical Algorithms. 1:207-221

Témata: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Computation of special functions and constants, construction of tables, orthonal polynomials, Hankel determinant, numerical stability, three-term recurrence relation, Numerical examples, \(qd\)-algorithm, determinantal formulae, Numerical methods for functional equations, Orthogonal Polynomials, Recurrence relations, qd-algorithm, orthogonal polynomials

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://dblp.uni-trier.de/db/journals/na/na1.html#BrezinskiR91
https://link.springer.com/content/pdf/10.1007/BF02142322.pdf
https://link.springer.com/article/10.1007%2FBF02142322
https://ui.adsabs.harvard.edu/abs/1991NuAlg...1..207B/abstract

Stieltjes continued fraction and QD algorithm: scalar, vector, and matrix cases

Autoři: Jeannette Van Iseghem

Zdroj: Linear Algebra and its Applications. 384:21-42

Témata: Numerical Analysis, Algebra and Number Theory, Jacobi (tridiagonal) operators (matrices) and generalizations, QD algorithm, 01 natural sciences, Stieltjes series, Hermite–Padé approximants, Discrete Mathematics and Combinatorics, Hermite-Padé approximants, Stieltjes continued fraction, Geometry and Topology, Convergence and divergence of continued fractions, 0101 mathematics, Padé approximation, Continued fractions, complex-analytic aspects

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2083490
https://doi.org/10.1016/j.laa.2003.12.032
https://core.ac.uk/display/82811861
http://www.sciencedirect.com/science/article/pii/S0024379503009030
https://www.sciencedirect.com/science/article/pii/S0024379503009030

A shift for accurate singular values¶in the differential qd algorithm: A shift for accurate singular values in the differential qd algorithm

Autoři: G. Di Lena R. I. Peluso G. Piazza

Zdroj: Calcolo. 38:113-127

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, differential \(qd\) algorithm, convergence, singular values, bidiabonal matrix, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007/s100920170001
https://link.springer.com/content/pdf/10.1007%2Fs100920170001.pdf

For tridiagonals T replace T with LDLt: For tridiagonals \(T\) replace \(T\) with \(LDL\)

Autoři: Beresford N. Parlett

Zdroj: Journal of Computational and Applied Mathematics. 123:117-130

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, LDU factorization, numerical examples, Computational Mathematics, Applied Mathematics, eigenvalue, orthogonal eigenvectores, clustered eigenvalues, 0101 mathematics, Direct numerical methods for linear systems and matrix inversion, triangular factorization, QD algorithm, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1546543
https://doi.org/10.1016/s0377-0427(00)00394-0
https://www.sciencedirect.com/science/article/abs/pii/S0377042700003940
http://ui.adsabs.harvard.edu/abs/2000JCoAM.123..117P/abstract
https://www.sciencedirect.com/science/article/pii/S0377042700003940
https://dialnet.unirioja.es/servlet/articulo?codigo=700200

The epsilon algorithm and related topics

Autoři: A. Salam Peter Graves-Morris D. E. Roberts

Zdroj: Journal of Computational and Applied Mathematics. 122:51-80

Témata: Extrapolation to the limit, deferred corrections, Iterative numerical methods for linear systems, Applied Mathematics, Vector-valued approximant, Padé, Star identity, Stability and convergence of numerical methods for boundary value problems involving PDEs, 01 natural sciences, epsilon algorithm, complex-valued sequences, Wynn, Designant, Computational Mathematics, Epsilon algorithm, Cross rule, iterative methods, convergence acceleration, qd algorithm, 0101 mathematics, Compass identity

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0377042700003551
http://ui.adsabs.harvard.edu/abs/2000JCoAM.122...51G/abstract
https://dialnet.unirioja.es/servlet/articulo?codigo=700178

An Improved dqds Type Algorithm: An improved dqds type algorithm

Autoři: E. Andrisani G. Di Lena

Zdroj: Computing. 64:1-19

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, numerical examples, Numerical solutions to overdetermined systems, pseudoinverses, Cholesky LR methods, singular value decomposition, 0101 mathematics, 01 natural sciences, differential qd algorithm

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1445535
https://doi.org/10.1007/s006070050001
https://link.springer.com/article/10.1007/s006070050001
https://dblp.uni-trier.de/db/journals/computing/computing64.html#AndrisaniL00

Accurate recovery of recursion coefficients from Gaussian quadrature formulas

Autoři: Dirk P. Laurie

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

QD-algorithms and recurrence relations for biorthogonal polynomials

Autoři: Zélia da Rocha

Zdroj: Journal of Computational and Applied Mathematics. 107:53-72

Témata: recurrence relations, Computational Mathematics, biorthogonal polynomials, Applied Mathematics, Biorthogonal polynomial, Recurrence relation, 0101 mathematics, linear functionals, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Padé approximation, 01 natural sciences, QD-algorithm, Vector orthogonal polynomial of dimension d and −d(d∈N)

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1326525
https://doi.org/10.1016/s0377-0427(99)00075-8
https://dlnext.acm.org/doi/10.1016/S0377-0427%2899%2900075-8
http://directory.umm.ac.id/Data%20Elmu/jurnal/J-a/Journal%20of%20Computational%20And%20Applied%20Mathematics/Vol107.Issue1.1999/2791.pdf
https://www.sciencedirect.com/science/article/abs/pii/S0377042799000758
https://www.sciencedirect.com/science/article/pii/S0377042799000758

Vector Padé-Type Approximants and Vector Padé Approximants: Vector Padé-type approximants and vector Padé approximants

Autoři: A. Salam

Zdroj: Journal of Approximation Theory. 97:92-112

Témata: Mathematics(all), Numerical Analysis, vector orthogonal polynomials, Applied Mathematics, \(qd\)-algorithm, vector Padé approximant, Clifford algebra, 0101 mathematics, Padé approximation, vector Padé-type approximant, 01 natural sciences, Analysis, continued fraction

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1286391
https://doi.org/10.1006/jath.1997.3263
https://www.sciencedirect.com/science/article/abs/pii/S0021904597932639
https://core.ac.uk/display/82589074
https://www.sciencedirect.com/science/article/pii/S0021904597932639

Formal vector orthogonal polynomials

Autoři: A. Salam

Zdroj: Advances in Computational Mathematics. 8:267-289

Témata: designants, vector orthogonal polynomials, qd-algorithm, Clifford group, Clifford algebra, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Padé approximation, 01 natural sciences

Popis souboru: application/xml

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

Autoři: Cuyt, Annie A.M.

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Rectangular matrix Padé approximants and square matrix orthogonal polynomials

Autoři: Borhane Moalla André Draux

Zdroj: Numerical Algorithms. 14:321-341

Témata: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), 0209 industrial biotechnology, Computation of special functions and constants, construction of tables, rectangular matrix Padé-type approximant, regular matrix Padé approximant, 02 engineering and technology, 0101 mathematics, Padé approximation, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, matrix orthogonal polynomials, 01 natural sciences, matrix \(qd\)-algorithm

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1078342
https://doi.org/10.1023/a:1019177316794
https://link.springer.com/article/10.1023/A:1019177316794
http://ui.adsabs.harvard.edu/abs/1997NuAlg..14..321D/abstract

The Instability of Parallel Prefix Matrix Multiplication: The instability of parallel prefix matrix multiplication

Autoři: Roy Mathias

Zdroj: SIAM Journal on Scientific Computing. 16:956-973

Témata: \(QR\) factorization, Numerical computation of eigenvalues and eigenvectors of matrices, forward error analysis, sequence of matrices, Roundoff error, Numerical computation of matrix norms, conditioning, scaling, matrix multiplication, Other matrix algorithms, eigenvalues, symmetric tridiagonal matrix, linear fractional recurrences, Parallel numerical computation, partial products, parallel prefix matrix multiplication, 01 natural sciences, Conditioning of matrices, bisection algorithm, differential \(qd\) algorithm, instability, parallel prefix operation, 0101 mathematics, parallel computation, condition number

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1067713
https://zbmath.org/785278
https://doi.org/10.1137/0916056
https://dblp.uni-trier.de/db/journals/siamsc/siamsc16.html#Mathias95
https://epubs.siam.org/doi/abs/10.1137/0916056
https://dl.acm.org/citation.cfm?id=210706