Search Results - (("Symbolic–numeric sparse interpolation") OR ("Symbolic–numericka sparse interpolation"))~

Symbolic–numeric sparse interpolation of multivariate polynomials

Authors: Giesbrecht, Mark Labahn, George Lee, Wen-shin

Source: Journal of Symbolic Computation ; volume 44, issue 8, page 943-959 ; ISSN 0747-7171

Availability: http://dx.doi.org/10.1016/j.jsc.2008.11.003
https://api.elsevier.com/content/article/PII:S0747717108001879?httpAccept=text/xml
https://api.elsevier.com/content/article/PII:S0747717108001879?httpAccept=text/plain

An algorithm for symbolic-numeric sparse interpolation of multivariate polynomials whose degree bounds are unknown

Authors: Numahata, Dai Sekigawa, Hiroshi

Source: ACM Communications in Computer Algebra ; volume 51, issue 1, page 18-20 ; ISSN 1932-2240

Availability: https://doi.org/10.1145/3096730.3096734
https://dl.acm.org/doi/10.1145/3096730.3096734
https://dl.acm.org/doi/pdf/10.1145/3096730.3096734

Symbolic-numeric sparse interpolation of multivariate rational functions

Authors: Cuyt, Annie Lee, Wen-shin

Source: ACM Communications in Computer Algebra ; volume 43, issue 3/4, page 79-80 ; ISSN 1932-2240

Availability: https://doi.org/10.1145/1823931.1823938
https://dl.acm.org/doi/10.1145/1823931.1823938
https://dl.acm.org/doi/pdf/10.1145/1823931.1823938

Symbolic-numeric sparse interpolation of multivariate polynomials.

Authors: Giesbrecht, Mark Labahn, George Lee, Wen-shin

Source: Proceedings of the 2006 International Symposium: Symbolic & Algebraic Computation; 7/ 9/2006, p116-123, 8p

Sparse Interpolation in Terms of Multivariate Chebyshev Polynomials.

Authors: Hubert, Evelyne Singer, Michael F.

Source: Foundations of Computational Mathematics; Dec2022, Vol. 22 Issue 6, p1801-1862, 62p

Subject Terms: CHEBYSHEV polynomials, INTERPOLATION, REPRESENTATIONS of algebras, LIE algebras, SYSTEMS theory, DETERMINISTIC algorithms

Symbolic-numeric sparse interpolation of multivariate polynomials

Authors: Mark Giesbrecht George Labahn Wen-shin Lee et al.

Contributors: Mark Giesbrecht George Labahn Wen-shin Lee et al.

Source: http://win.ua.ac.be/~wlee/pub/gll-interp.pdf.

Subject Terms: Key words, Symbolic-numeric computing, multivariate interpolation

File Description: application/pdf

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.329.9670

Availability: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.329.9670
http://win.ua.ac.be/~wlee/pub/gll-interp.pdf

Symbolic-numeric sparse interpolation of multivariate polynomials

Authors: Mark Giesbrecht The Pennsylvania State University CiteSeerX Archives

Contributors: Mark Giesbrecht The Pennsylvania State University CiteSeerX Archives

Source: http://www.scg.uwaterloo.ca/~glabahn/Papers/sparse-interp-issac.pdf.

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Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.69.420

Availability: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.69.420
http://www.scg.uwaterloo.ca/~glabahn/Papers/sparse-interp-issac.pdf

Multi-point Taylor series to solve differential equations.

Authors: Zézé, Djédjé Sylvain Potier-Ferry, Michel Tampango, Yannick

Source: Discrete & Continuous Dynamical Systems - Series S; Oct2019, Vol. 12 Issue 6, p1791-1806, 16p

Subject Terms: DIFFERENTIAL equations, ORDINARY differential equations, TAYLOR'S series, HERMITE polynomials

Polynomial-Exponential Decomposition From Moments.

Authors: Mourrain, Bernard

Source: Foundations of Computational Mathematics; Dec2018, Vol. 18 Issue 6, p1435-1492, 58p

Subject Terms: DECOMPOSITION method, POLYNOMIALS, POWER series, EXPONENTIAL functions, HANKEL operators, PRONY analysis

Algorithms for computing cubatures based on moment theory.

Authors: Collowald, Mathieu Hubert, Evelyne

Source: Studies in Applied Mathematics; Nov2018, Vol. 141 Issue 4, p501-546, 46p, 1 Chart, 1 Graph

Subject Terms: DEFINITE integrals, INTEGRAL functions, EIGENVECTORS, ALGORITHMS, MATRICES (Mathematics), POLYNOMIALS

Deterministic sparse FFT for M-sparse vectors.

Authors: Plonka, Gerlind Wannenwetsch, Katrin Cuyt, Annie et al.

Source: Numerical Algorithms; May2018, Vol. 78 Issue 1, p133-159, 27p

Subject Terms: VECTORS (Calculus), VECTOR calculus, LINEAR dependence (Mathematics), FAST Fourier transforms, FOURIER transforms

An Improved Early Termination Sparse Interpolation Algorithm for Multivariate Polynomials.

Authors: Huang, Qiaolong

Source: Journal of Systems Science & Complexity; Apr2018, Vol. 31 Issue 2, p539-551, 13p

On rational functions without Froissart doublets.

Authors: Beckermann, Bernhard Labahn, George Matos, Ana C.

Source: Numerische Mathematik; Mar2018, Vol. 138 Issue 3, p615-633, 19p

Subject Terms: MATHEMATICAL functions, EUCLIDEAN geometry, NUMBER theory, POLYNOMIALS, MATHEMATICAL bounds, SYLVESTER matrix equations

Prony's method in several variables.

Authors: Sauer, Tomas

Source: Numerische Mathematik; Jun2017, Vol. 136 Issue 2, p411-438, 28p

Subject Terms: PRONY analysis, MATHEMATICAL variables, POLYNOMIALS, LINEAR algebra, ALGORITHMS

Numerical reconstruction of convex polytopes from directional moments.

Authors: Collowald, Mathieu Cuyt, Annie Hubert, Evelyne et al.

Source: Advances in Computational Mathematics; Dec2015, Vol. 41 Issue 6, p1079-1099, 21p

Subject Terms: POLYTOPES, GEOMETRIC vertices, EIGENVALUES

An extended Prony's interpolation scheme on an equispaced grid.

Authors: Karalienė, Dovile Navickas, Zenonas Čiegis, Raimondas et al.

Source: Open Mathematics; Jan2015, Vol. 13 Issue 1, p1, 15p

A new algorithm for sparse interpolation of multivariate polynomials

Authors: Cuyt, Annie Lee, Wen-shin University of Antwerp et al.

Contributors: Cuyt, Annie Lee, Wen-shin University of Antwerp et al.

Source: Theoretical computer science

Subject Terms: 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)

File Description: application/pdf; pdf

Access URL: 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

Obtaining exact interpolation multivariate polynomial by approximation.

Authors: Feng, Yong Qin, Xiaolin Zhang, Jingzhong et al.

Source: Journal of Systems Science & Complexity; Aug2011, Vol. 24 Issue 4, p803-815, 13p

On the numerical condition of a generalized Hankel eigenvalue problem.

Authors: B. Beckermann G. Golub G. Labahn

Source: Numerische Mathematik; Mar2007, Vol. 106 Issue 1, p41-68, 28p

Subject Terms: EIGENVALUES, MATRICES (Mathematics), HANKEL functions, PADE approximant

Symbolic-numeric sparse interpolation of multivariate rational functions

Authors: Cuyt, Annie A.M. Lee, Wen-Shin

Source: 1932-2232 ; ACM communications in computer algebra

Subject Terms: Mathematics

Availability: https://hdl.handle.net/10067/1070350151162165141