Publications

Dirk de Villiers, Ridalise Louw, Rina-Mari Weideman, Annie Cuyt, Ferre Knaepkens, and Wen-shin Lee. Practical performance of regular sparse array direction of arrival estimation in 1-d. In ICEAA-IEEE APWC 2019, Granada, Spain, pages 9–13, 2019.

Annie Cuyt and Wen-shin Lee. A scale and shift paradigm for sparse interpolation in one and more dimensions. ACM Commun. Comput. Algebra, 52(3):75–77, 2018. Conference abstracts ISSAC 2018.

A. Cuyt, F. Knaepkens, and W.-s. Lee. From exponential analysis to Padé approximation and Tensor decomposition, in one and more dimensions. In V.P. Gerdt and others, editors, LNCS11077, pages 116–130, 2018. Proceedings CASC 2018, Lille (France). (toolbox and examples are available) [DOI]

A. Cuyt, W.-s. Lee, E. Tijskens, W.-L. Hong, J.-P. Wang, T. Cools, and T. Geerts. Superresolution underwater acoustics. In M. Taroudakis, editor, Proceedings Euronoise 2018, pages 2845–2850, Crete, Greece, 2018.

M. Briani, A. Cuyt, and W.-s. Lee. Sparse interpolation, the FFT algorithm and FIR filters. In V.P. Gerdt and others, editors, LNCS 10490, pages 27–39, 2017. 19th International Workshop on Computer Algebra in Scientific Computing, CASC 2017.

M. Briani, A. Cuyt, and W.-s. Lee. Validated exponential analysis for harmonic sounds. In DAFX17, 20th international conference on digital audio effects, volume 20, pages 222–227, Edinburgh, United Kingdom, 2017. (code, input and output can be downloaded)

A. Cuyt, R. Louw, C. Segers, and D. de Villiers. Towards blended rational interpolation of multi-fidelity antenna data. In International Conference on Electromagnetics in Advanced Applications (ICEAA 2017), pages 1045–1048, 2017.

Annie Cuyt and Wen-shin Lee. Sparse interpolation and rational approximation. volume 661 of Contemporary Mathematics, pages 229–242, Providence, RI, 2016. American Mathematical Society. [DOI]

A. Cuyt, W.-s. Lee, and M.-n. Tsai. A short-time Prony method for the detection of transients. In M. Papadrakakis, V. Papadopoulos, G. Stefanou, and V. Plevris, editors, Proceedings ECCOMAS2016, pages 4313–4321, Crete, Greece, 2016.

Annie Cuyt, George Labahn, Avraham Sidi, and Wen-shin Lee. Sparse Modelling and Multi-exponential Analysis (Dagstuhl Seminar 15251). Dagstuhl Reports, 5(6):48–69, 2016. [DOI]

Elizabeth Rita Samuel, Dirk Deschrijver, Luc Knockaert, Tom Dhaene, and Annie Cuyt. Rational modeling of multivariate multi-fidelity data. In M. Papadrakakis, V. Papadopoulos, G. Stefanou, and V. Plevris, editors, Proceedings ECCOMAS2016, pages 4284–4294, Crete, Greece, 2016.

Annie Cuyt and Wen-shin Lee. Sparse interpolation and signal processing. In A. Terui, K. Ohara, T. Hamada, S. Yokohama, H. Anai, and H. Yokota, editors, Development of Computer Algebra Research and Collaboration with Industry, volume 49 of COE Math-for-Industry Lecture Note, pages 83–86. Kyushu University, 2013.

Sem Peelman, Joachim Van der Herten, Maarten De Vos, Wen-shin Lee, Sabine Van Huffel, and Annie Cuyt. Sparse reconstruction of correlated multichannel activity. In Proceedings of the IEEE Engineering in Medicine and Biology Society, pages 3897–3900, 2013. [DOI]

D. Deschrijver, T. Dhaene, O. Salazar Celis, and A. Cuyt. Rational modeling algorithm for passive microwave structures and systems. In Progress in industrial mathematics at ECMI 2010, volume 17 of Mathematics in industry, pages 37–43. Springer, Berlin, 2012. [DOI]

A. Cuyt, B.A. Ibrahimoglu, and I. Yaman. Good interpolation points: learning from Chebyshev, Fekete, Haar and Lebesgue. In T.E. Simos, G. Psihoyios, and C. Tsitouras, editors, International conference on numerical analysis and applied mathematics, volume 1389 of AIP Conference Proceedings, pages 1917–1922, 2011. [DOI]

Annie Cuyt and Wen-shin Lee. Reconstructing sparse trigonometric functions. ACM Commun. Comput. Algebra, 44:101–102, 2010. Conference abstracts ISSAC 2010. [DOI]

A. Cuyt, F. Backeljauw, S. Becuwe, and J. Van Deun. Validated special functions software. In K. Fukuda, J. van der Hoeven, M. Joswig, and N. Takayama, editors, LNCS, volume 6327, pages 32–34, Berlin, 2010. Springer-Verlag. Proceedings ICMS 2010.

H.T. Nguyen, A. Cuyt, and O. Salazar Celis. Shape control in multivariate barycentric rational interpolation. In T.E. Simos, G. Psihoyios, and C. Tsitouras, editors, International conference on numerical analysis and applied mathematics, volume 1281 of AIP Conference Proceedings, pages 543–548, 2010. [DOI]

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Annie Cuyt and Wen-shin Lee. Extracting numerical factors of multivariate polynomials from Taylor expansions. In H. Kai and H. Sekigawa, editors, SNC '09: Proceedings of the 2009 conference on Symbolic-Numeric computation, pages 35–44, 2009. [DOI]

Annie Cuyt and Wen-shin Lee. Symbolic-numeric sparse interpolation of multivariate rational functions. ACM Commun. Comput. Algebra, 43:79–80, 2009. Conference abstracts ISSAC 2009. [DOI]

A. Cuyt, F. Backeljauw, S. Becuwe, M. Colman, T. Docx, and J. Van Deun. Continued fractions for special functions: Handbook and software. In A. Cuyt, W. Kraemer, W. Luther, and P. Markstein, editors, LNCS, volume 5492, pages 27–40, Berlin, 2009. Springer-Verlag.

F. Backeljauw, S. Becuwe, and A. Cuyt. Validated evaluation of special mathematical functions. In S. Autexier, J. Campbell, J. Rubio, V. Sorge, M. Suzuki, and F. Wiedijk, editors, Intelligent Mathematics, volume 5144 of LNAI, pages 206–216, 2008. [DOI]

A. Bultheel, A. Cuyt, and B. Verdonk. Orthogonality measures and applications in systems theory in one and more variables. In I. Linkov, S. Margenov, and J. Wasniewski, editors, LNCS 4818, pages 243–250, 2008. Proceedings 6-th IC Large Scale Scientific Computing. [DOI]

Annie Cuyt and Wen-shin Lee. Sparse multivariate polynomial interpolation via the quotient-difference algorithm. ACM Commun. Comput. Algebra, 42:154–155, 2008. Conference abstracts ISSAC 2008. [DOI]

O. Salazar Celis, A. Cuyt, and J. Van Deun. Symbolic and interval rational interpolation: the problem of unattainable data. In T.E. Simos, G. Psihoyios, and C. Tsitouras, editors, International conference on numerical analysis and applied mathematics, volume 1048 of AIP Conference Proceedings, pages 466–469, 2008. [DOI]

A. Cuyt and S. Becuwe. Towards reliable software for the evaluation of a class of special functions. In E. Iglesias and N. Takayama, editors, LNCS 4151, pages 308–319, Berlin, 2006. Springer-Verlag. Proceedings ICMS 2006. [DOI]

Annie Cuyt, Wen-shin Lee, and B. Verdonk. From Ben-Or / Tiwari to qd and generalized eigenvalues. ACM Commun. Comput. Algebra, 40:10, 2006. Conference abstracts ECCAD06. [DOI]

F. Backeljauw and A. Cuyt. Continued fractions for special functions in Maple. In T.E. Simos, G. Psihoyios, and C. Tsitouras, editors, International conference on numerical analysis and applied mathematics, pages 664–667, Weinheim, 2005. Wiley-VCH.

Stefan Becuwe, Annie Cuyt, Jo Janssen, Walter Schreppers, and Jeff Tupper. GrafEqC: Reliable graphing in the complex plane. In Pierre Borne, Mohamed Benrejeb, Nathalie Dangoumau, and Lionel Lorimier, editors, Proceedings of the 17th IMACS World Congress 2005 (Paris, 2005), 2005.

A. Cuyt, V. Petersen, B. Verdonk, and H. Waadeland. How much can a continued fraction tail estimate influence its evaluation? In T.E. Simos, G. Psihoyios, and C. Tsitouras, editors, International conference on numerical analysis and applied mathematics, pages 686–688, Weinheim, 2005. Wiley-VCH.

A. Cuyt, V. Petersen, B. Verdonk, and H. Waadeland. On the impact of a continued fraction tail estimate on its truncation error bounds. In T.E. Simos, G. Psihoyios, and C. Tsitouras, editors, International conference on numerical analysis and applied mathematics, pages 699–701, Weinheim, 2005. Wiley-VCH.

O. Salazar Celis, A. Cuyt, R.B. Lenin, and B. Verdonk. Univariate rational interpolation in practical applications. In T.E. Simos, G. Psihoyios, and C. Tsitouras, editors, International conference on numerical analysis and applied mathematics, pages 689–692, Weinheim, 2005. Wiley-VCH.

W. Schreppers, F. Backeljauw, and A. Cuyt. MPL: A multiprecision Matlab-like environment. In Vaidy Sunderam, Dick van Albada, Peter Sloot, and Jack Dongarra, editors, Proceedings ICCS 2005, Part 1, volume 3514 of Lecture Notes in Computer Science, pages 295–303. Springer, 2005. [DOI]

S. Becuwe, A. Cuyt, and B. Verdonk. Multivariate rational interpolation of scattered data. In I. Lirkov, S. Margenov, J. Wasniewski, and P. Yalamov, editors, LNCS 2907, pages 204–213, 2004. [DOI]

A. Cuyt. Rational approximation successes in Computational Science and Engineering. In T.E. Simos, editor, International conference on numerical analysis and applied mathematics, pages 114–117, Weinheim, 2004. Wiley-VCH.

A. Cuyt and B. Verdonk. Combining the Radon, Markov, and Stieltjes transforms for object reconstruction. In M. Bubak and others, editors, LNCS 3036, pages 695–698, Berlin, 2004. Springer-Verlag. (see the extended version available as technical report) [DOI]

A. Cuyt, B. Benouahmane, and B. Verdonk. Spherical orthogonal polynomials and symbolic-numeric Gaussian cubature formulas. In M. Bubak and others, editors, LNCS 3037, pages 557–560, Berlin, 2004. Springer-Verlag. (see the extended version available as technical report) [DOI]

A. Cuyt, G. Golub, P. Milanfar, and B. Verdonk. Inverting a multidimensional shape from moments. In T.E. Simos, editor, International conference on numerical analysis and applied mathematics, pages 436–439, Weinheim, 2004. Wiley-VCH.

A. Cuyt. Recent applications of rational approximation theory: a guided tour. In G. Psihoyios, editor, Proc. Intern. Conf. NACOM, pages 50–52, Weinheim, 2003. Wiley.

A. Cuyt and R.B. Lenin. Verified computation of packet loss probabilities in multiplexer models using rational approximation. In G. Psihoyios, editor, Proc. Intern. Conf. NACOM, pages 42–45, Weinheim, 2003. Wiley.

A. Cuyt, B. Verdonk, H. Waadeland, and J. Vervloet. Towards a verified library for special functions. In G. Psihoyios, editor, Proc. Intern. Conf. NACOM, pages 46–49, Weinheim, 2003. Wiley.

B. Benouahmane, A. Cuyt, and B. Verdonk. Symbolic algorithms for the estimation of parameterized eigenvalues and multidimensional integrals. In Rajendra Akerkar, editor, Application of Computer Algebra, Proceedings ISACA2000, pages 130–151, New Delhi, 2001. Allied Publ. Ltd.

A. Cuyt. Symbolic-numeric QD-algorithms with applications in function theory and linear algebra. In G. Alefeld, J. Rohn, S. Rump, and T. Yamamoto, editors, Symbolic-algebraic methods and verification methods, New York, 2001. Springer. [DOI]

S. Becuwe and A. Cuyt. Multivariate Padé approximants: homogeneous or not, that's the question. In Michel Deville and Robert Owens, editors, Proceedings of the 16th IMACS World Congress 2000 (Lausanne), New Brunswick, NJ, 2000. IMACS. paper 315-2.

S. Becuwe and A. Cuyt. Multivariate Padé approximants: homogeneous or not, that's the question. In Michel Deville and Robert Owens, editors, Abstract book of the 16th IMACS World Congress 2000 (Lausanne), page 362. IMACS, 2000.

A. Cuyt, P. Kuterna, B. Verdonk, and J. Vervloet. The class library for exact rational arithmetic in ARIΘMOΣ. In P. Kornerup, editor, "RNC4 Proceedings", pages 141–160. Odense University Press, 2000.

A. Cuyt and B. Verdonk. Extending the qd-algorithm to tackle multivariate problems. In N. Papamichael, St. Ruscheweyh, and B. Saff, editors, Computational methods and function theory (CMFT '97), pages 135–159. World Scientific Publ., 1999.

A. Cuyt and B. Verdonk. Reliable scientific computing via hybrid techniques. In G.-L. Chen and H. Cheng, editors, 1997 International Workshop on Computational Science and Engineering IWCSE-97, pages 12–16. University of Science and Technology Press, 1997.

A. Cuyt and B. Verdonk. On the integration of floating-point, interval, rational and symbolic computation. In Proceedings ICIAM95, ZAMM part 1 "Numerical Analysis, Scientific Computing and Computer Science", pages 41–44, 1996.

A. Cuyt. Floating-point versus symbolic computations in a multivariate qd-like algorithm. Commun. Anal. Theory Contin. Fract., IV:84–90, 1995.

A. Cuyt. Floating-point versus symbolic computations in the qd-algorithm. Commun. Anal. Theory Contin. Fract., IV:79–83, 1995.

A. Cuyt, B. Verdonk, B. Naudts, and J. Verelst. On the integration of software tools for scientific computation. In ICIAM95 Abstracts, page 98, Berlin, 1995. Akademie Verlag.

A. Cuyt. Fundamentals of Padé approximants. In Academic year on "Numerical Analysis", Nankai Institute of Mathematics, 1994.

A. Cuyt, B. Verdonk, and J. Verelst. Towards a generic scientific expert system for use with an object-oriented numeric library. In Proceedings OONSKI 94, pages 474–477, Oregon, 1994. Rogue Wave.

A. Cuyt and A. De Waegenaere. Multivariate Newton-Padé Hermite approximation. In T. Håvie, editor, "Proceedings Romberg Seminar on quadrature, interpolation, extrapolation and rational approximation", volume 2 of Kong. Norske Vidensk. Selskab Skrifter, pages 41–59, 1989.

A. Cuyt and B. Verdonk. Rational interpolation on general data sets in Cⁿ. In W.F. Ames and C. Brezinski, editors, "Numerical and Applied Mathematics: vol.1", pages 415–429. G. C. Baltzer, 1989.

E. Laenens, B. Verdonk, D. Vermeir, and A. Cuyt. A logic for objects and inheritance. In "Advanced database system symposium", pages 55–60. Information Processing Society of Japan, 1989.

A. Cuyt. Multivariate rational Hermite interpolation. In IMACS Proceedings I, pages 545–548, 1988.

A. Cuyt and B. Verdonk. Different techniques for the construction of multivariate rational interpolants. In A. Cuyt, editor, Nonl. Num. Meth. and Rat. Appr., pages 167–190, Dordrecht, 1988. Reidel. [DOI]

A. Cuyt and B. Verdonk. Multivariate rational interpolation on general data sets. In IMACS Proceedings I, pages 552–555, 1988.

A. Cuyt. Theory and applications of multivariate general order rational Hermite interpolants. In International Congress of Mathematicians ICM at Berkeley, page 298, 1986.

A. Cuyt. The mechanism of the multivariate Padé process. In H. Werner, editor, LNM 1071, pages 95–103, Berlin, 1984. Springer Verlag. [DOI]

A. Cuyt. Numerical applications of operator Padé approximants. In L. Collatz and others, editors, ISNM 67: Num. Meth. Appr. Th. 7, pages 59–75, Basel, 1984. Birkhäuser Verlag.

A. Cuyt. Multivariate Padé Approximants: theory and applications. In H. Werner and others, editors, Comp. Aspects Compl. Anal., page 398, Dordrecht, 1983. Reidel. [DOI]

A. Cuyt. Numerical comparison of abstract Padé-approximants and abstract rational approximants with other generalisations of the classical Padé approximant. In H. van Rossum and others, editors, LNM 888, pages 137–157, Berlin, 1980. Springer Verlag. [DOI]

A. Cuyt. Abstract Padé approximants in operator theory. volume 765 of LNM, pages 61–87, Berlin, 1979. Springer Verlag. [DOI]