Annie Cuyt

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Annie Cuyt is affiliated with the following schools: University of Antwerp, Shenzhen University

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Annie Cuyt

Mathematics

#6064

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#8463

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Measure Theory

#3022

World Rank

#3590

Historical Rank

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Mathematics

Annie Cuyt's Degrees

PhD Mathematics University of Antwerp

Why Is Annie Cuyt Influential?

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According to Wikipedia, Annie A. M. Cuyt is a Belgian computational mathematician known for her work on continued fractions, numerical analysis, Padé approximants, and related topics. She is a professor at the University of Antwerp, and a member of the Royal Flemish Academy of Belgium for Science and the Arts.

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Annie Cuyt's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Handbook of Continued Fractions for Special Functions (2008) (349)
Approximation Theory (2008) (133)
Gamma function and related functions (2008) (132)
Nonlinear Methods in Numerical Analysis (1987) (123)
How well can the concept of Padé approximant be generalized to the multivariate case (1999) (61)
Rational BRDF (2012) (46)
A review of branched continued fraction theory for the construction of multivariate rational approximations (1988) (45)
Pade Approximants for Operators: Theory and Applications (1984) (43)
General order Newton-Padé approximants for multivariate functions (1984) (42)
Multivariate Padé-approximants☆ (1983) (38)
Sparse interpolation of multivariate rational functions (2011) (38)
Multivariate Padé approximants revisited (1986) (32)
A recursive computation scheme for multivariate rational interpolants (1987) (30)
A multivariate convergence theorem of the “de Montessus de Ballore” type (1990) (30)
Rational approximation of vertical segments (2007) (30)
A review of multivariate Padé approximation theory (1985) (28)
A Remarkable Example of Catastrophic Cancellation Unraveled (2001) (28)
Basic hypergeometric functions (2008) (28)
Computational implementation of the multivariate Halley method for solving nonlinear systems of equations (1985) (28)
A new algorithm for sparse interpolation of multivariate polynomials (2008) (27)
Multivariate reciprocal differences for branched Thiele continued fraction expansion (1988) (25)
The QD-algorithm and multivariate Padé-approximants (1983) (24)
A precision- and range-independent tool for testing floating-point arithmetric I: basic operations, square root, and remainder (2001) (23)
Numerical Validation in Current Hardware Architectures (2009) (23)
On the size of lemniscates of polynomials in one and several variables (1996) (23)
Multivariate exponential analysis from the minimal number of samples (2016) (23)
A Comparison of Some Multivariate Padé-Approximants (1983) (22)
Adaptive multivariate rational data fitting with applications in electromagnetics (2006) (22)
Nonlinear Numerical Methods and Rational Approximation (2011) (20)
How to get high resolution results from sparse and coarsely sampled data (2017) (19)
Abstract Padé-approximants for the solution of a sytem of nonlinear equations (1983) (18)
Multidimensional Integral Inversion, with Applications in Shape Reconstruction (2005) (18)
Deterministic sparse FFT for M-sparse vectors (2018) (18)
Validated evaluation of special mathematical functions (2008) (17)
A Montessus de Ballore theorem for multivariate Padé approximants (1985) (17)
A multivariate QD-like algorithm (1988) (16)
Extension of “a multivariate convergence theorem of the “de Montessus de Ballore” type” to multipoles (1992) (16)
Multivariate rational interpolation (1985) (16)
Different Techniques for the Construction of Multivariate Rational Interpolants (1988) (16)
Comonotone and coconvex rational interpolation and approximation (2011) (15)
Faint and clustered components in exponential analysis (2018) (15)
Multivariate partial Newton-Pade´ and Newton-Pade´ type approximants (1993) (15)
A precision- and range-independent tool for testing floating-point arithmetic II: conversions (2001) (15)
VEXPA: Validated EXPonential Analysis through regular sub-sampling (2017) (14)
Sparse interpolation and rational approximation (2016) (14)
Practical rational interpolation of exact and inexact data: theory and algorithms (2008) (14)
Kronecker type theorems, normality and continuity of the multivariate Padé operator (1996) (13)
Efficient and Reliable Multiprecision Implementation of Elementary and Special Functions (2006) (13)
Generalizations of orthogonal polynomials (2005) (13)
Abstract Padé-approximants in operator theory (1979) (13)
Computing Packet Loss Probabilities in Multiplexer Models Using Rational Approximation (2003) (13)
Exploring multivariate Padé approximants for multiple hypergeometric series (1999) (13)
A direct approach to convergence of multivariate, nonhomogeneous, Pade´ approximants (1996) (12)
Nuttall-Pommerenke theorems for homogeneous Pade´ approximants (1996) (12)
On the structure of a table of multivariate rational interpolants (1992) (12)
Properties of Multivariate Homogeneous Orthogonal Polynomials (2001) (12)
A logic for objects and inheritance (1989) (12)
A finite sum representation of the Appell series F 1 ( a,b,b';c;x,y ) (1999) (11)
Numerical reconstruction of convex polytopes from directional moments (2015) (11)
Radial orthogonality and Lebesgue constants on the disk (2012) (10)
On the Convergence of General Order Multivariate Padé-Type Approximants (1996) (10)
Shape Control in Multivariate Barycentric Rational Interpolation (2010) (9)
General order multivariate Padé approximants for pseudo-multivariate functions (2006) (9)
The need for knowledge and reliability in numeric computation: Case study of multivariate Padé approximation (1993) (9)
Padé-approximants in operator theory for the solution of nonlinear differential and integral equations (1982) (9)
Algorithm 895: A continued fractions package for special functions (2009) (9)
On the continuity of the multivariate Padé operator (1984) (8)
Multivariate Pad&Approximants* (1983) (8)
Multivariate orthogonal polynomials, homogeneous Padé approximants and Gaussian cubature (2000) (8)
A practical error formula for multivariate rational interpolation and approximation (2010) (8)
Analytic treatment of vortex states in cylindrical superconductors in applied axial magnetic field (2010) (8)
Sharp Bounds for Lebesgue Constants of Barycentric Rational Interpolation at Equidistant Points (2016) (8)
Reliable root detection with the qd-algorithm: When Bernoulli, Hadamard and Rutishauser cooperate (2010) (8)
General order multivariate Padé approximants for Pseudo-multivariate functions. II (2006) (8)
Sparse Multidimensional Exponential Analysis with an Application to Radar Imaging (2020) (8)
The ɛ-algorithm and multivariate Padé-approximants (1982) (8)
Regular Sparse Array Direction of Arrival Estimation in One Dimension (2020) (7)
On the convergence of the multivariate “homogeneous”qd-algorithm (1994) (7)
Underflow revisited (2002) (7)
Towards unsupervised fluorescence lifetime imaging using low dimensional variable projection. (2016) (7)
Computing packet loss probabilities of D-BMAP/PH/1/N queues with group services (2010) (7)
Multivariate Rational Interpolation of Scattered Data (2003) (6)
Explicit construction of general multivariate Padé approximants to an Appell function (2005) (6)
Continued fraction representation of functions (2008) (6)
Validated computation of certain hypergeometric functions (2011) (6)
Stable multi-dimensional model reduction and IIR filter design (2007) (6)
On tensor decomposition, sparse interpolation and Padé approximation (2016) (6)
Regularity and normality of abstract Padé approximants projection-property and product-property (1982) (6)
A review of multivariate Pad6 approximation theory (1985) (6)
MULTIVARIATE PADI~ APPROXIMANTS R EVISITED (1986) (5)
The $\varepsilon $-Algorithm and Padé-Approximants in Operator Theory (1983) (5)
Determining and benchmarking risk neutral distributions implied from option prices (2015) (5)
Symbolic-numeric Gaussian cubature rules (2011) (5)
The solution of nonlinear operator equations (1984) (5)
Rational interpolation on general data sets in Cn (1989) (5)
Unattainable Points in Multivariate Rational Interpolation (1993) (4)
On the fast solution of Toeplitz-block linear systems arising in multivariate approximation theory (2006) (4)
Symbolic and interval rational interpolation: the problem of unattainable data (2008) (4)
Numerical stability of the Halley-iteration for the solution of a system of nonlinear equations (1982) (4)
Multidimensional IIR filters and robust rational interpolation (2014) (4)
Error formulas for multivariate rational interpolation and Pade´ approximation (1990) (4)
CAD Based Trajectory optimization of PTP Motions using Chebyshev Polynomials (2020) (4)
Singular rules for the calculations of non-normal multivariate Pade´ approximants (1986) (4)
High Accuracy Trigonometric Approximations of the Real Bessel Functions of the First Kind (2020) (4)
Region and Contour Identification of Physical Objects (2004) (4)
Rounding error analysis for forward continued fraction algorithms (1985) (4)
Multivariate data fitting with error control (2018) (4)
Exponential integrals and related functions (2008) (4)
Instability and modification of Thiele interpolating continued fractions (1988) (3)
Macromodeling of High-Speed Interconnects by Positive Interpolation of Vertical Segments (2013) (3)
Towards Reliable Software for the Evaluation of a Class of Special Functions (2006) (3)
Extending the qd-algorithm to tackle multivariate problems (1999) (3)
Floating-point versus Symbolic Computations in theQD-algorithm (1997) (3)
Model reduction of multidimensional linear shift-invariant recursive systems using Padé techniques (1992) (3)
On the Froissart phenomenon in multivariate homogeneous Padé approximation (1999) (3)
Multivariate Rational Approximants for Multiclass Closed Queuing Networks (2001) (3)
Numerical Validation in Current Hardware Architectures: International Dagstuhl Seminar, Dagstuhl Castle, Germany, January 6-11, 2008. Revised Papers (2009) (3)
Blending Set and Interval Arithmetic for Maximal Reliability (2005) (3)
Pade Approximation in One and More Variables (1992) (3)
On the need for predictable floating-point arithmetic in the programming languages Fortran 90 and C/C++ (1997) (3)
Validated exponential analysis for harmonic sounds (2017) (3)
On the convergence of multivariate Padé approximants (2000) (3)
From Exponential Analysis to Padé Approximation and Tensor Decomposition, in One and More Dimensions (2018) (3)
Multivariate Two-Point Padé-Type and Two-Point Padé Approximants (2003) (3)
A class of adaptive multivariate nonlinear iterative methods (1991) (3)
The mechanism of the multivariate Pade process (1984) (3)
Well-defined determinant representations for non-normal multivariate rational interpolants (1994) (2)
MPL: A Multiprecision Matlab - Like Environment (2005) (2)
Accelerating the convergence of a table with multiple Entry (1983) (2)
Rational modeling algorithm for passive microwave structures and systems (2012) (2)
The QD-algorithm for Padé-approximants in operator theory (1984) (2)
Algorithm 871: A C/C++ precompiler for autogeneration of multiprecision programs (2008) (2)
Computational methods from rational approximation theory (2000) (2)
A continued fractions package for special functions (2008) (2)
Sparse reconstruction of correlated multichannel activity (2013) (2)
Singular rules for a multivariate quotient-difference algorithm (1994) (2)
Recent applications of rational approximation theory: a guided tour (2003) (2)
Evaluation of Branched Continued Fractions using Block-Tridiagonal Linear Systems (1988) (2)
Towards blended rational interpolation of multi-fidelity antenna data (2017) (2)
Continued Fractions for Special Functions: Handbook and Software (2009) (2)
A Finite Sum Representation of The (2)
Confluent hypergeometric functions (2008) (2)
Multivariate rational data fitting: general data structure, maximal accuracy and object orientation (1992) (2)
A hybrid Fourier-Prony method (2017) (2)
Energy optimal point-to-point motion profile optimization (2022) (2)
Block-tridiagonal linear systems and branched continued fractions (1987) (2)
Spherical Orthogonal Polynomials and Symbolic-Numeric Gaussian Cubature Formulas (2004) (2)
Model reduction and stability of two-dimensional recursive systems (1991) (1)
Parametric spectral analysis: scale and shift (2020) (1)
Symbolic-Numeric QD-Algorithms with Application in Function Theory and Linear Algebra (2001) (1)
Validated analysis of modulated signals: From de Prony to Padé and beyond (2022) (1)
A computer aided teaching program in epidemiology and biostatistics. (1987) (1)
Antenna Position Estimation Through Subsampled Exponential Analysis of Signals in the Near Field (2021) (1)
Rational Approximation Theory: A state of the art (1993) (1)
Combining the Radon, Markov, and Stieltjes Transforms for Object Reconstruction (2004) (1)
On-line motion profile optimization for reciprocating mechanisms (2022) (1)
GrafEqC: reliable computing in the complex plane (2005) (1)
A note on univariate rational interpolation (1997) (1)
Antenna Position Estimation Through Sub-Sampled Exponential Analysis of Harmonically Related Input Signals (2021) (1)
RATIONAL MODELING OF MULTIVARIATE MULTI-FIDELITY DATA (2016) (1)
Sensitivity analysis and fast computation of packet loss probabilities in multiplexer models (2004) (1)
Exploring Covariance, Consistency and Convergence in Pade Approximation Theory (1995) (1)
How does PASCAL-XSC compare to other programming languages with respect to the IEEE standard? (1993) (1)
A review of multivariate Pad approximation theory (1985) (1)
Sparse Interpolation, the FFT Algorithm and FIR Filters (2017) (1)
EPITROP: a computer aided teaching program in epidemiology and biostatistics update (1990) (1)
Floating-point versus symbolic computations in a multivariate qd-like algorithm (1995) (1)
Good Interpolation Points: Learning from Chebyshev, Fekete, Haar and Lebesgue (2011) (1)
Superresolution through regular sampling: Theory and applications (2018) (1)
Intelligent object-oriented scientific computation (1994) (1)
Analytic models for parameter dependency in option price modelling (2016) (1)
CSE at Belgian Universities (1997) (1)
A Constructive Criticism of the C/C++ Proposal for Complex Arithmetic (2005) (1)
Sparse modelling and multi-exponential analysis (Dagstuhl Seminar 15251) (2015) (1)
Computer Arithmetic and Numerical Techniques (2007) (0)
Deterministic sparse FFT for M-sparse vectors (2017) (0)
Numerical Validation in Current Hardware Architectures, 6.1. - 11.1.2008 (2008) (0)
On tables and graphs (2008) (0)
MULTIPRECISION IMPLEMENTATION OF ELEMENTARY AND SPECIAL FUNCTIONS (2014) (0)
Beyond Classical Exponential Analysis: Generalizations, Connections and Applications (2018) (0)
Reconstructing sparse trigonometric functions (2011) (0)
Sparse interpolation and signal processing (2013) (0)
Continued fraction evaluation (2008) (0)
Simulated Performance of Antenna Position Estimation through Sub-Sampled Exponential Analysis (2022) (0)
Operator Pade Approximants: Some ideas behind the theory and a numerical illustration (1984) (0)
Exponential Analysis: Theoretical Progress and Technological Innovation (Dagstuhl Seminar 22221) (2022) (0)
Numerical Aplications of Operator Pade Approximants (1983) (0)
A Note on Rational Interpolation (0)
Regularity and Normality of Abstract Pad 6 Approximants Projection-Property and Product-Property ANNIE (2003) (0)
The Euler-Minding series for branched continued fractions (1987) (0)
Multivariate Newton-Padé-Hermite approximation (1989) (0)
Rational BRDF: Supplementary Results (2011) (0)
Towards a verified librray for special functions (2003) (0)
Continued fraction construction (2008) (0)
Computational science and engineering at Belgian universities (1997) (0)
Multivariate exponential analysis from the minimal number of samples (2017) (0)
Truncation error bounds (2008) (0)
Inverting a multidimensional shape from moments (2004) (0)
Verified computation of packet loss probabilities in multiplexer models using rational approximation (2003) (0)
Towards a generic scientific expert system for use with an object-oriented numeric library (1994) (0)
Error function and related integrals (2008) (0)
Old and new multidimensional convergence accelerators (1990) (0)
Moment theory and orthogonal functions (2008) (0)
Orthogonality Measures and Applications in Systems Theory in One and More Variables (2009) (0)
08021 Summary - Numerical Validation in Current Hardware Architectures (2008) (0)
On the integration of floating-point, interval, rational and symbolic computation (1996) (0)
Fast passivity enforcement of S-parameter based macromodels (2010) (0)
Validated Special Functions Software (2010) (0)
Practical Performance of Regular Sparse Array Direction of Arrival Estimation in 1-D (2019) (0)
THE e-ALGORITHM AND PADI-APPROXIMANTS IN OPERATOR THEORY * ANNIE (0)
CAD-Based Design Optimization of Four-Bar Mechanisms: An Emergency Ventilator Case Study (2023) (0)
Analytic models for parameter dependency in option price modelling (2016) (0)
08021 Abstracts Collection - Numerical Validation in Current Hardware Architectures (2008) (0)
Superresolution underwater acoustics (2018) (0)
Rapid design and modelling of wideband sinuous antenna reflector feeds through blended rational interpolation (2019) (0)
What do sparse interpolation, padé approximation, gaussian quadrature and tensor decomposition have in common? (2020) (0)
N A ] 1 4 Ju n 20 17 A hybrid Fourier-Prony method (2017) (0)
Sparse Modelling and Multi-exponential Analysis (2015) (0)
Analysing Textures with Exponential Analysis (2023) (0)
CAD Based Design Optimization of Four-bar Mechanisms: a coronaventilator case study (2022) (0)
A bibliography of the works of Prof. Dr. H. Werner (1987) (0)
Adaptive Multidimensional Modeling with Applications in Scientific Computing (2011) (0)
Computer Algebra Style ( Multiprecision ) Interval and Complex Arithmetic (2002) (0)
Radial orthogonality and Lebesgue constants on the disk (2012) (0)
International Conference on Rational Approximation ICRA99 (2000) (0)
High Accuracy Trigonometric Approximations of the Real Bessel Functions of the First Kind (2020) (0)
Contributions to reliable numeric computing (2000) (0)
Decomposing Textures using Exponential Analysis (2021) (0)
GrafEqC: Reliable graphing in the complex plane (2005) (0)
Numerical comparison of abstract Pade-approximants and abstract rational approximants with other generalizations of the classical pade-approximant (1981) (0)
ComputingpacketlossprobabilitiesofD-BMAP/PH/1/Nqueueswith groupservices (2010) (0)
A scale and shift paradigm for sparse interpolation in one and more dimensions (2019) (0)
Proceedings of the International Conference on Rational Approximation ICRA99 (2000) (0)
Extracting numerical factors of multivariate polynomials from taylor expansions (2009) (0)
New Books: Mathematics and Its Applications (1999) (0)
Sparse multivariate polynomial interpolation via the quotient-difference algorithm (2009) (0)
Limits of sparse super-resolution (2022) (0)
On the impact of a continued fraction tail estimate on its truncation error bounds (2005) (0)
Multidimensional IIR filters and robust rational interpolation (2012) (0)
Numerical reconstruction of convex polytopes from directional moments (2015) (0)
Multivariate data fitting with error control (2018) (0)
A short-time Prony method for the detection of transients (2016) (0)
An Interview with the Authors: Log-Lightning Computation, and Some Instructive Mathematical Errors (2021) (0)
On the robustness of exponential base terms and the Padé denominator in some least squares sense (2022) (0)
Symbolic-numeric sparse interpolation of multivariate rational functions (2010) (0)

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