Search Results - Multivariate Polynomial Approximation

Construction of Multivariate Polynomial Approximation Kernels via Semidefinite Programming

Authors: Felix Kirschner Etienne de Klerk

Source: SIAM Journal on Optimization. 33:513-537

Subject Terms: Optimization and Control (math.OC), FOS: Mathematics, 0211 other engineering and technologies, polynomial kernel method, 02 engineering and technology, semidefinite programming, 0101 mathematics, Mathematics - Optimization and Control, 01 natural sciences, symmetry reduction

Access URL: http://arxiv.org/abs/2203.05892

MULTIVARIATE POLYNOMIAL APPROXIMATION IN THE HYPERCUBE

Authors: TREFETHEN, LLOYD N.

Source: Proceedings of the American Mathematical Society, 2017 Nov 01. 145(11), 4837-4844.

Access URL: https://www.jstor.org/stable/90013149

Multivariate approximation by polynomial and generalized rational functions

Authors: R. Díaz Millán V. Peiris N. Sukhorukova et al.

Contributors: R. Díaz Millán V. Peiris N. Sukhorukova et al.

Source: Optimization. 71:1171-1187

Subject Terms: 90C25, 90C26, 90C90, 90C47, 65D15, Optimization and Control (math.OC), FOS: Mathematics, 0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, Mathematics - Optimization and Control, 01 natural sciences

Access URL: http://arxiv.org/abs/2101.11786

Correction/Addendum to 'The extremal function for the complex ball for generalized notions of degree and multivariate polynomial approximation' (Ann. Polon. Math. 123 (2019), 171–195)

Authors: Bloom T. Bos L. Levenberg N. et al.

Source: Annales Polonici Mathematici. 125:193-202

Subject Terms: Complex ball, Extremal function, Generalized degree, Multivariate approximation, 0101 mathematics, 01 natural sciences

Access URL: https://hdl.handle.net/11577/3545725
https://doi.org/10.4064/ap200505-4-8

Construction of multivariate polynomial approximation kernels via semidefinite programming

Authors: Kirschner, Felix de Klerk, Etienne

Source: SIAM Journal on Optimization vol.33 (2023) nr.2 p.513 - 537 [ISSN 1052-6234]

Index Terms: polynomial kernel method, semidefinite programming, symmetry reduction, Article

URL: https://research.tilburguniversity.edu/en/publications/9b1d01ec-074f-404f-a8d0-6abdc7f0b127
https://repository.tilburguniversity.edu/bitstreams/f6eae40a-2c70-4617-95c7-9a6bf4581096/download
https://repository.tilburguniversity.edu/bitstreams/2501c8d2-0e78-4596-aa67-ace82dc9eab9/download
https://repository.tilburguniversity.edu/bitstreams/f6eae40a-2c70-4617-95c7-9a6bf4581096/download
https://repository.tilburguniversity.edu/bitstreams/2501c8d2-0e78-4596-aa67-ace82dc9eab9/download

Multivariate Polynomial Approximation for Equidistant Data

Authors: Mond, B.

Source: Mathematics of Computation, 1964 Apr 01. 18(86), 298-301.

Access URL: https://www.jstor.org/stable/2003305

Chebyshev Multivariate Polynomial Approximation and Point Reduction Procedure

Authors: Nadezda Sukhorukova Julien Ugon David Yost et al.

Contributors: Nadezda Sukhorukova Julien Ugon David Yost et al.

Source: Constructive Approximation. 53:529-544

Subject Terms: FOS: Mathematics, 49J52, 90C26, 41A15, 41A50, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 0101 mathematics, 01 natural sciences

Access URL: http://arxiv.org/pdf/1708.09743
http://arxiv.org/abs/1708.09743
https://link.springer.com/article/10.1007/s00365-019-09488-9
https://ui.adsabs.harvard.edu/abs/2017arXiv170809743S/abstract
http://dro.deakin.edu.au/view/DU:30133129

Adaptive Multivariate Approximation Using Binary Space Partitions and Geometric Wavelets

Authors: Leviatan, D.

Source: SIAM Journal on Numerical Analysis, 2006 Jan 01. 43(2), 707-732.

Access URL: https://www.jstor.org/stable/4101420

Shape‐preserving multivariate polynomial approximation in C[−1,1]m: Shape-preserving multivariate polynomial approximation in \(C[-1,1]^m\)

Authors: Ciprian S. Gal Sorin G. Gal

Source: International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 7, Pp 325-333 (2004)

Subject Terms: Approximation by polynomials, Approximation with constraints, QA1-939, Multidimensional problems, shape preserving approximation, 01 natural sciences, Mathematics, multivariate polynomial approximation, 0104 chemical sciences

File Description: application/xml

Access URL: http://downloads.hindawi.com/journals/ijmms/2004/934927.pdf
https://doaj.org/article/657fd60b3b9d4ece9182c1d9ec4b24d8
https://www.maths.tcd.ie/EMIS/journals/HOA/IJMMS/2004/5-8325.pdf
https://dblp.uni-trier.de/db/journals/ijmmsc/ijmmsc2004.html#GalG04
https://downloads.hindawi.com/journals/ijmms/2004/934927.pdf
https://www.hindawi.com/journals/ijmms/2004/934927/
https://eudml.org/doc/51721

Receiver Techniques for Diffusion-Based Molecular Nano Communications Using an Adaptive Neuro-Fuzzy-Based Multivariate Polynomial Approximation

Authors: Ghalib H. Alshammri Walid K. M. Ahmed Victor B. Lawrence

Source: IEEE Transactions on Molecular, Biological and Multi-Scale Communications. 4:140-159

Subject Terms: 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0210 nano-technology

The extremal function for the complex ball for generalized notions of degree and multivariate polynomial approximation

Authors: T. Bloom L. Bos S. Mau et al.

Source: Annales Polonici Mathematici.

Subject Terms: extremal function, 32U15, 41A10, Mathematics - Complex Variables, Mathematics - Classical Analysis and ODEs, complex ball, polynomial approximation, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences, generalized notions of degree

File Description: application/pdf

Access URL: http://arxiv.org/pdf/1801.02401
http://arxiv.org/abs/1801.02401
http://ui.adsabs.harvard.edu/abs/2018arXiv180102401B/abstract
https://iris.univr.it/handle/11562/1012043

Asymptotic expansions for multivariate polynomial approximation

Authors: Walz, Guido

Source: Journal of Computational and Applied Mathematics. 122:317-328

Subject Terms: Bernstein operator, asymptotic expansion, Applied Mathematics, Extrapolation, Multidimensional problems, extrapolation, Asymptotic expansion, 01 natural sciences, Multivariate polynomial approximation, Computational Mathematics, Approximation by polynomials, Convergence acceleration, convergence acceleration, 0101 mathematics, multivariate polynomial approximation

File Description: application/xml

Access URL: https://ui.adsabs.harvard.edu/abs/2000JCoAM.122..317W/abstract
https://www.sciencedirect.com/science/article/pii/S0377042700003587
https://dialnet.unirioja.es/servlet/articulo?codigo=700168
https://madoc.bib.uni-mannheim.de/1597/

Multivariate Polynomial Approximation of Powers of the Euclidean Distance Function

Authors: Kraus, Christiane

Source: Constructive Approximation. 27:323-327

Subject Terms: ddc:510, article, 0101 mathematics, 01 natural sciences, Polynomial approximation in 2-space -- maximal convergence -- Bernstein-Walsh's type theorems

Access URL: https://link.springer.com/article/10.1007/s00365-006-0671-2

Correction/Addendum to 'The Extremal Function for the Complex Ball for Generalized Notions of Degree and Multivariate Polynomial Approximation'

Authors: Bloom, T. Bos, L. Levenberg, N. et al.

Subject Terms: 32U15, 32U20, Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV)

Access URL: http://arxiv.org/abs/2005.02518

Chebyshev Multivariate Polynomial Approximation: Alternance Interpretation

Authors: David Yost Julien Ugon Nadezda Sukhorukova et al.

Contributors: David Yost Julien Ugon Nadezda Sukhorukova et al.

Source: MATRIX Book Series ISBN: 9783319722986

Subject Terms: 4. Education, 16. Peace & justice

Access URL: https://researchbank.swinburne.edu.au/items/0ca4aba8-c9e9-415f-82ca-5d701878d22b/1/
https://link.springer.com/chapter/10.1007/978-3-319-72299-3_8
https://rd.springer.com/chapter/10.1007/978-3-319-72299-3_8

Multivariate Polynomial Approximation

Authors: Manfred Reimer

Resource Type: eBook.

Subjects: Approximation theory, Numerical analysis

Categories: MATHEMATICS / Mathematical Analysis, MATHEMATICS / Numerical Analysis

Multivariate approximation by polynomial and generalized rational functions.

Authors: Díaz Millán, R. Peiris, V. Sukhorukova, N. et al.

Source: Optimization; Apr2022, Vol. 71 Issue 4, p1171-1187, 17p

Subject Terms: POLYNOMIAL approximation, CHEBYSHEV approximation, LINEAR programming, POLYNOMIAL time algorithms

Transient security assessment using multivariate polynomial approximation

Authors: U.D. Annakkkage B. Jayasekara

Source: Electric Power Systems Research. 77:704-711

Subject Terms: 0211 other engineering and technologies, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology

Access URL: https://www.sciencedirect.com/science/article/pii/S0378779606001490
http://www.sciencedirect.com/science/article/pii/S0378779606001490

A Novel Multivariate Polynomial Approximation Factorization of Big Data

Authors: Guotao Luo Guang Pei

Source: Communications in Computer and Information Science ISBN: 9783662462478

Subject Terms: 13. Climate action, 7. Clean energy

Access URL: https://link.springer.com/10.1007/978-3-662-46248-5_61
https://link.springer.com/chapter/10.1007/978-3-662-46248-5_61
https://rd.springer.com/chapter/10.1007/978-3-662-46248-5_61
https://dblp.uni-trier.de/db/conf/icycsee/icycsee2015.html#LuoP15

Chebyshev Multivariate Polynomial Approximation and Point Reduction Procedure.

Authors: Sukhorukova, Nadezda Ugon, Julien Yost, David

Source: Constructive Approximation; Jun2021, Vol. 53 Issue 3, p529-544, 16p

Subject Terms: POLYNOMIAL approximation, CHEBYSHEV polynomials, CHEBYSHEV approximation, POLYNOMIALS, NONSMOOTH optimization