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Cuyt, Annie A. M.

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Author ID: cuyt.annie Recent zbMATH articles by "Cuyt, Annie A. M."
Published as: Cuyt, A.; Cuyt, Annie; Cuyt, Annie A. M.
Homepage: https://www.uantwerpen.be/en/staff/annie-cuyt/
External Links: MGP · ORCID · ResearchGate · dblp · GND
Documents Indexed: 147 Publications since 1979, including 6 Books
Biographic References: 1 Publication
all top 5

Serials

14 Journal of Computational and Applied Mathematics
13 Numerical Algorithms
6 ACM Transactions on Mathematical Software
6 Journal of Approximation Theory
5 Numerische Mathematik
5 Applied Numerical Mathematics
5 Advances in Computational Mathematics
4 BIT
3 Computers & Mathematics with Applications
3 Mathematics of Computation
3 Computing
3 SIAM Journal on Mathematical Analysis
3 SIAM Journal on Scientific Computing
2 Rocky Mountain Journal of Mathematics
2 Applied Mathematics and Computation
2 Theoretical Computer Science
2 Journal of Operator Theory
2 Acta Applicandae Mathematicae
2 ANACM. Applied Numerical Analysis and Computational Mathematics
2 ACM Communications in Computer Algebra
1 IMA Journal of Numerical Analysis
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Calcolo
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Numerical Analysis
1 Journal of Symbolic Computation
1 Constructive Approximation
1 Multidimensional Systems and Signal Processing
1 Computational Mathematics and Mathematical Physics
1 Applied Mathematical Modelling
1 Experimental Mathematics
1 Applied and Computational Harmonic Analysis
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Annals of Numerical Mathematics
1 Reliable Computing
1 Skrifter. Det Kongelige Norske Videnskabers Selskab
1 Lecture Notes in Mathematics
1 North-Holland Mathematics Studies
1 International Journal of Computing Science and Mathematics
1 Jaen Journal on Approximation

Publications by Year

Citations contained in zbMATH

99 Publications have been cited 560 times in 277 Documents Cited by Year
Handbook of continued fractions for special functions. With contributions by Franky Backeljauw and Catherine Bonan-Hamada. Verified numerical output by Stefan Becuwe and Annie Cuyt. Zbl 1150.30003
Cuyt, Annie; Petersen, Vigdis Brevik; Verdonk, Brigitte; Waadeland, Haakon; Jones, William B.
55
2008
Nonlinear methods in numerical analysis. Zbl 0609.65001
Cuyt, Annie; Wuytack, Luc
42
1987
Multivariate Padé approximants revisited. Zbl 0622.65011
Cuyt, Annie
23
1986
How well can the concept of Padé approximant be generalized to the multivariate case? Zbl 0945.41012
Cuyt, Annie
22
1999
Padé approximants for operators: theory and applications. Zbl 0538.41024
Cuyt, Annie
22
1984
General order Newton-Padé approximants for multivariate functions. Zbl 0513.41008
Cuyt, Annie A. M.; Verdonk, Brigitte M.
20
1984
Multivariate Padé-approximants. Zbl 0525.41017
Cuyt, Annie A. M.
18
1983
A multivariate convergence theorem of the “de Montessus de Ballore” type. Zbl 0715.41023
Cuyt, A.
13
1990
A review of branched continued fraction theory for the construction of multivariate rational approximants. Zbl 0644.65012
Cuyt, Annie A. M.; Verdonk, Brigitte M.
13
1988
A review of multivariate Padé approximation theory. Zbl 0572.41010
Cuyt, Annie A. M.
12
1985
A Montessus de Ballore theorem for multivariate Padé approximants. Zbl 0556.41012
Cuyt, Annie A. M.
12
1985
A recursive computation scheme for multivariate rational interpolants. Zbl 0616.65012
Cuyt, A.
11
1987
Multivariate rational interpolation. Zbl 0553.41004
Cuyt, Annie A. M.; Verdonk, Brigitte M.
10
1985
Rational approximation of vertical segments. Zbl 1151.41011
Salazar Celis, Oliver; Cuyt, Annie; Verdonk, Brigitte
9
2007
Extension of “A multivariate convergence theorem of the “de Montessus de Ballore” type” to multipoles. Zbl 0756.41023
Cuyt, A.
9
1992
The QD-algorithm and multivariate Padé-approximants. Zbl 0536.65011
Cuyt, Annie A. M.
9
1983
Multidimensional integral inversion, with applications in shape reconstruction. Zbl 1099.65128
Cuyt, Annie; Golub, Gene; Milanfar, Peyman; Verdonk, Brigitte
8
2005
The epsilon-algorithm and multivariate Padé-approximants. Zbl 0499.65005
Cuyt, Annie A. M.
8
1982
A de Montessus theorem for multivariate homogeneous Padé approximants. Zbl 0885.41013
Cuyt, A.; Lubinsky, D. S.
7
1997
Kronecker type theorems, normality and continuity of the multivariate Padé operator. Zbl 0860.41020
Cuyt, Annie; Driver, Kathy; Lubinsky, Doron
7
1996
On the size of lemniscates of polynomials in one and several variables. Zbl 0853.30003
Cuyt, A.; Driver, K.; Lubinsky, D. S.
7
1996
A direct approach to convergence of multivariate, nonhomogeneous, Padé approximants. Zbl 0851.41014
Cuyt, A.; Driver, K. A.; Lubinsky, D. S.
7
1996
On the structure of a table of multivariate rational interpolants. Zbl 0764.41008
Allouche, H.; Cuyt, A.
7
1992
Computational implementation of the multivariate Halley method for solving nonlinear systems of equations. Zbl 0556.65041
Cuyt, Annie A. M.; Rall, L. B.
7
1985
A comparison of some multivariate Padé-approximants. Zbl 0508.41016
Cuyt, Annie A. M.
7
1983
Properties of multivariate homogeneous orthogonal polynomials. Zbl 0989.41010
Benouahmane, Brahim; Cuyt, Annie
6
2001
Exploring multivariate Padé approximants for multiple hypergeometric series. Zbl 0926.41013
Cuyt, Annie; Driver, Kathy; Tan, Jieqing; Verdonk, Brigitte
6
1999
On the convergence of general order multivariate Padé-type approximants. Zbl 0860.41019
Abouir, J.; Cuyt, A.; Gonzalez-Vera, P.; Orive, R.
6
1996
Nuttall-Pommerenke theorems for homogeneous Padé approximants. Zbl 0866.41014
Cuyt, A.; Driver, K.; Lubinsky, D. S.
6
1996
Multivariate partial Newton-Padé and Newton-Padé type approximants. Zbl 0780.41011
Abouir, J.; Cuyt, A.
6
1993
Different techniques for the construction of multivariate rational interpolants. Zbl 0679.41012
Cuyt, A.; Verdonk, B.
6
1988
Multivariate reciprocal differences for branched Thiele continued fraction expansions. Zbl 0638.65014
Cuyt, Annie; Verdonk, Brigitte
6
1988
On the continuity of the multivariate Padé operator. Zbl 0543.41018
Cuyt, Annie; Wuytack, L.; Werner, Helmut
6
1984
Abstract Padé-approximants for the solution of a system of nonlinear equations. Zbl 0521.41015
Cuyt, Annie; van der Cruyssen, Paul
6
1983
Multivariate exponential analysis from the minimal number of samples. Zbl 1397.65022
Cuyt, Annie; Lee, Wen-shin
5
2018
Sharp bounds for Lebesgue constants of barycentric rational interpolation at equidistant points. Zbl 1382.41012
Ibrahimoglu, B. Ali; Cuyt, Annie
5
2016
Sparse interpolation of multivariate rational functions. Zbl 1211.65014
Cuyt, Annie; Lee, Wen-Shin
5
2011
Reliable root detection with the qd-algorithm: When Bernoulli, Hadamard and Rutishauser cooperate. Zbl 1203.65081
Allouche, Hassane; Cuyt, Annie
5
2010
Comonotone and coconvex rational interpolation and approximation. Zbl 1231.65031
Nguyen Hoa Thang; Cuyt, Annie; Celis, Oliver Salazar
4
2011
A new algorithm for sparse interpolation of multivariate polynomials. Zbl 1181.68328
Cuyt, Annie; Lee, Wen-Shin
4
2008
A remarkable example of catastrophic cancellation unraveled. Zbl 0999.65031
Cuyt, A.; Verdonk, B.; Becuwe, S.; Kuterna, P.
4
2001
A finite sum representation of the Appell series \(F_1 (a, b, b^{\prime}; c; x, y)\). Zbl 0949.33013
Cuyt, A.; Driver, K.; Tan, J.; Verdonk, B.
4
1999
The need for knowledge and reliability in numeric computation: Case study of multivariate Padé approximation. Zbl 0799.65012
Cuyt, Annie; Verdonk, Brigitte
4
1993
A multivariate QD-like algorithm. Zbl 0637.65013
Cuyt, Annie
4
1988
Abstract Padé-approximants in operator theory. Zbl 0431.41019
Cuyt, Annie A. M.
4
1979
Deterministic sparse FFT for \(M\)-sparse vectors. Zbl 06871983
Plonka, Gerlind; Wannenwetsch, Katrin; Cuyt, Annie; Lee, Wen-Shin
3
2018
Sparse interpolation and rational approximation. Zbl 1353.42003
Cuyt, Annie; Lee, Wen-shin
3
2016
Radial orthogonality and Lebesgue constants on the disk. Zbl 1259.65011
Cuyt, Annie; Yaman, Irem; Ibrahimoglu, Bayram Ali; Benouahmane, Brahim
3
2012
Stable multi-dimensional model reduction and IIR filter design. Zbl 1184.93086
Abouir, J.; Cuyt, A.
3
2007
Efficient and reliable multiprecision implementation of elementary and special functions. Zbl 1132.33342
Cuyt, Annie; Verdonk, Brigitte; Waadeland, Haakon
3
2006
General order multivariate Padé approximants for pseudo-multivariate functions. Zbl 1090.41006
Cuyt, Annie; Tan, Jieqing; Zhou, Ping
3
2006
Multivariate rational interpolation of scattered data. Zbl 1151.65313
Becuwe, Stefan; Cuyt, Annie; Verdonk, Brigitte
3
2004
Multivariate orthogonal polynomials, homogeneous Padé approximants and Gaussian cubature. Zbl 0962.65022
Benouahmane, Brahim; Cuyt, Annie
3
2000
On the convergence of the multivariate “homogeneous” qd-algorithm. Zbl 0820.65001
Cuyt, Annie
3
1994
Nonlinear numerical methods and rational approximation. (Proceedings of a conference, held at the University of Antwerp, Belgium, 20-24 April 1987). Zbl 0658.00009
Cuyt, Annie (ed.)
3
1988
Singular rules for the calculation of non-normal multivariate Padé approximants. Zbl 0588.65006
Cuyt, A.
3
1986
Regularity and normality of abstract Padé approximants projection- property and product-property. Zbl 0519.41021
Cuyt, Annie A. M.
3
1982
On the properties of abstract rational (1-point) approximants. Zbl 0487.41021
Cuyt, Annie A. M.
3
1981
How to get high resolution results from sparse and coarsely sampled data. Zbl 1442.94020
Cuyt, Annie; Lee, Wen-shin
2
2020
Multivariate data fitting with error control. Zbl 1411.41013
Cuyt, Annie; Salazar Celis, Oliver
2
2019
Numerical reconstruction of convex polytopes from directional moments. Zbl 1334.44005
Collowald, Mathieu; Cuyt, Annie; Hubert, Evelyne; Lee, Wen-Shin; Salazar Celis, Oliver
2
2015
Analytic treatment of vortex states in cylindrical superconductors in applied axial magnetic field. Zbl 1312.82025
Ludu, A.; Van Deun, J.; Milošević, M. V.; Cuyt, A.; Peeters, F. M.
2
2010
Generalizations of orthogonal polynomials. Zbl 1068.42021
Bultheel, A.; Cuyt, A.; Van Assche, W.; Van Barel, M.; Verdonk, B.
2
2005
Explicit construction of general multivariate Padé approximants to an Appell function. Zbl 1085.41010
Borwein, P. B.; Cuyt, A.; Zhou, P.
2
2005
Multivariate two-point Padé-type and two-point Padé approximants. Zbl 1024.41010
Abouir, J.; Cuyt, A.; Orive, R.
2
2003
Singular rules for a multivariate quotient-difference algorithm. Zbl 0796.65003
Allouche, H.; Cuyt, A.
2
1994
Well-defined determinant representations for non-normal multivariate rational interpolants. Zbl 0792.41006
Allouche, H.; Cuyt, A.
2
1994
Unattainable points in multivariate rational interpolation. Zbl 0774.41001
Allouche, H.; Cuyt, A.
2
1993
Evaluation of branched continued fractions using block-tridiagoal linear systems. Zbl 0644.65013
Cuyt, Annie; Verdonk, Brigitte
2
1988
Rounding error analysis for forward continued fraction algorithms. Zbl 0588.65018
Cuyt, Annie; van der Cruyssen, Paul
2
1985
The \(\epsilon\)-algorithm and Padé-approximants in operator theory. Zbl 0538.65036
Cuyt, Annie A. M.
2
1983
Faint and clustered components in exponential analysis. Zbl 1426.94013
Cuyt, Annie; Tsai, Min-nan; Verhoye, Marleen; Lee, Wen-shin
1
2018
Sparse interpolation, the FFT algorithm and FIR filters. Zbl 1455.65242
Briani, Matteo; Cuyt, Annie; Lee, Wen-shin
1
2017
On tensor decomposition, sparse interpolation and Padé approximation. Zbl 1377.41021
Cuyt, Annie; Lee, Wen-shin; Yang, Xianglan
1
2016
Validated computation of certain hypergeometric functions. Zbl 1365.65046
Colman, Michel; Cuyt, Annie; Deun, Joris Van
1
2011
Symbolic-numeric Gaussian cubature rules. Zbl 1219.65030
Cuyt, Annie; Benouahmane, Brahim; Hamsapriye; Yaman, Irem
1
2011
A practical error formula for multivariate rational interpolation and approximation. Zbl 1203.41007
Cuyt, Annie; Yang, Xianglan
1
2010
Algorithm 895: A continued fractions package for special functions. Zbl 1364.65054
Backeljauw, Franky; Cuyt, Annie
1
2009
General order multivariate Padé approximants for pseudo-multivariate functions. II. Zbl 1202.41010
Zhou, Ping; Cuyt, Annie; Tan, Jieqing
1
2009
Validated evaluation of special mathematical functions. Zbl 1166.65319
Backeljauw, Franky; Becuwe, Stefan; Cuyt, Annie
1
2008
On the fast solution of Toeplitz-block linear systems arising in multivariate approximation theory. Zbl 1106.65023
Becuwe, Stefan; Cuyt, Annie
1
2006
Blending set and interval arithmetic for maximal reliability. Zbl 1070.65032
Verdonk, B.; Vervloet, J.; Cuyt, A.
1
2005
Spherical orthogonal polynomials and symbolic-numeric Gaussian cubature formulas. Zbl 1080.68741
Cuyt, Annie; Benouahmane, Brahim; Verdonk, Brigitte
1
2004
A precision- and range-independent tool for testing floating-point arithmetic. II: Conversions. Zbl 1070.68509
Verdonk, Brigitte; Cuyt, Annie; Verschaeren, Dennis
1
2001
A precision- and range-independent tool for testing floating-point arithmetric. I: Basic operations, square root, and remainder. Zbl 1070.68508
Verdonk, Brigitte; Cuyt, Annie; Verschaeren, Dennis
1
2001
Symbolic-numeric QD-algorithms with applications in function theory and linear algebra. Zbl 0986.65018
Cuyt, Annie
1
2001
Extending the qd-algorithm to tackle multivariate problems. Zbl 0932.65002
Cuyt, Annie; Verdonk, Brigitte
1
1999
On the Froissart phenomenon in multivariate homogeneous Padé approximation. Zbl 0962.41011
Becuwe, Stefan; Cuyt, Annie
1
1999
Floating-point versus symbolic computations in the \(qd\)-algorithm. Zbl 0910.65002
Cuyt, Annie
1
1997
Nonlinear numerical methods and rational approximation II. Proceedings of the 3rd International Conference, held at the University of Antwerp, Belgium, 5-11 September 1993. Zbl 0798.00017
Cuyt, Annie (ed.)
1
1994
Model reduction of multidimensional linear shift-invariant recursive systems using Padé techniques. Zbl 0765.93008
Cuyt, A.; Ogawa, S.; Verdonk, B.
1
1992
Rational Hermite interpolation in one and more variables. Zbl 0751.41013
Cuyt, Annie
1
1992
Padé approximation in one and more variables. Zbl 0751.41015
Cuyt, Annie
1
1992
A class of adaptive multivariate nonlinear iterative methods. Zbl 0741.65042
Cuyt, Annie
1
1991
Error formulas for multivariate rational interpolation and Padé approximation. Zbl 0697.41008
Abouir, J.; Cuyt, A.
1
1990
The QD-algorithm for Padé-approximants in operator theory. Zbl 0558.65039
Cuyt, Annie A. M.
1
1984
Accelerating the convergence of a table with multiple entry. Zbl 0494.65002
Cuyt, Annie A. M.
1
1983
Padé-approximants in operator theory for the solution of nonlinear differential and integral equations. Zbl 0507.65022
Cuyt, Annie A. M.
1
1982
Numerical stability of the Halley-iteration for the solution of a system of nonlinear equations. Zbl 0495.65018
Cuyt, Annie A. M.
1
1982
How to get high resolution results from sparse and coarsely sampled data. Zbl 1442.94020
Cuyt, Annie; Lee, Wen-shin
2
2020
Multivariate data fitting with error control. Zbl 1411.41013
Cuyt, Annie; Salazar Celis, Oliver
2
2019
Multivariate exponential analysis from the minimal number of samples. Zbl 1397.65022
Cuyt, Annie; Lee, Wen-shin
5
2018
Deterministic sparse FFT for \(M\)-sparse vectors. Zbl 06871983
Plonka, Gerlind; Wannenwetsch, Katrin; Cuyt, Annie; Lee, Wen-Shin
3
2018
Faint and clustered components in exponential analysis. Zbl 1426.94013
Cuyt, Annie; Tsai, Min-nan; Verhoye, Marleen; Lee, Wen-shin
1
2018
Sparse interpolation, the FFT algorithm and FIR filters. Zbl 1455.65242
Briani, Matteo; Cuyt, Annie; Lee, Wen-shin
1
2017
Sharp bounds for Lebesgue constants of barycentric rational interpolation at equidistant points. Zbl 1382.41012
Ibrahimoglu, B. Ali; Cuyt, Annie
5
2016
Sparse interpolation and rational approximation. Zbl 1353.42003
Cuyt, Annie; Lee, Wen-shin
3
2016
On tensor decomposition, sparse interpolation and Padé approximation. Zbl 1377.41021
Cuyt, Annie; Lee, Wen-shin; Yang, Xianglan
1
2016
Numerical reconstruction of convex polytopes from directional moments. Zbl 1334.44005
Collowald, Mathieu; Cuyt, Annie; Hubert, Evelyne; Lee, Wen-Shin; Salazar Celis, Oliver
2
2015
Radial orthogonality and Lebesgue constants on the disk. Zbl 1259.65011
Cuyt, Annie; Yaman, Irem; Ibrahimoglu, Bayram Ali; Benouahmane, Brahim
3
2012
Sparse interpolation of multivariate rational functions. Zbl 1211.65014
Cuyt, Annie; Lee, Wen-Shin
5
2011
Comonotone and coconvex rational interpolation and approximation. Zbl 1231.65031
Nguyen Hoa Thang; Cuyt, Annie; Celis, Oliver Salazar
4
2011
Validated computation of certain hypergeometric functions. Zbl 1365.65046
Colman, Michel; Cuyt, Annie; Deun, Joris Van
1
2011
Symbolic-numeric Gaussian cubature rules. Zbl 1219.65030
Cuyt, Annie; Benouahmane, Brahim; Hamsapriye; Yaman, Irem
1
2011
Reliable root detection with the qd-algorithm: When Bernoulli, Hadamard and Rutishauser cooperate. Zbl 1203.65081
Allouche, Hassane; Cuyt, Annie
5
2010
Analytic treatment of vortex states in cylindrical superconductors in applied axial magnetic field. Zbl 1312.82025
Ludu, A.; Van Deun, J.; Milošević, M. V.; Cuyt, A.; Peeters, F. M.
2
2010
A practical error formula for multivariate rational interpolation and approximation. Zbl 1203.41007
Cuyt, Annie; Yang, Xianglan
1
2010
Algorithm 895: A continued fractions package for special functions. Zbl 1364.65054
Backeljauw, Franky; Cuyt, Annie
1
2009
General order multivariate Padé approximants for pseudo-multivariate functions. II. Zbl 1202.41010
Zhou, Ping; Cuyt, Annie; Tan, Jieqing
1
2009
Handbook of continued fractions for special functions. With contributions by Franky Backeljauw and Catherine Bonan-Hamada. Verified numerical output by Stefan Becuwe and Annie Cuyt. Zbl 1150.30003
Cuyt, Annie; Petersen, Vigdis Brevik; Verdonk, Brigitte; Waadeland, Haakon; Jones, William B.
55
2008
A new algorithm for sparse interpolation of multivariate polynomials. Zbl 1181.68328
Cuyt, Annie; Lee, Wen-Shin
4
2008
Validated evaluation of special mathematical functions. Zbl 1166.65319
Backeljauw, Franky; Becuwe, Stefan; Cuyt, Annie
1
2008
Rational approximation of vertical segments. Zbl 1151.41011
Salazar Celis, Oliver; Cuyt, Annie; Verdonk, Brigitte
9
2007
Stable multi-dimensional model reduction and IIR filter design. Zbl 1184.93086
Abouir, J.; Cuyt, A.
3
2007
Efficient and reliable multiprecision implementation of elementary and special functions. Zbl 1132.33342
Cuyt, Annie; Verdonk, Brigitte; Waadeland, Haakon
3
2006
General order multivariate Padé approximants for pseudo-multivariate functions. Zbl 1090.41006
Cuyt, Annie; Tan, Jieqing; Zhou, Ping
3
2006
On the fast solution of Toeplitz-block linear systems arising in multivariate approximation theory. Zbl 1106.65023
Becuwe, Stefan; Cuyt, Annie
1
2006
Multidimensional integral inversion, with applications in shape reconstruction. Zbl 1099.65128
Cuyt, Annie; Golub, Gene; Milanfar, Peyman; Verdonk, Brigitte
8
2005
Generalizations of orthogonal polynomials. Zbl 1068.42021
Bultheel, A.; Cuyt, A.; Van Assche, W.; Van Barel, M.; Verdonk, B.
2
2005
Explicit construction of general multivariate Padé approximants to an Appell function. Zbl 1085.41010
Borwein, P. B.; Cuyt, A.; Zhou, P.
2
2005
Blending set and interval arithmetic for maximal reliability. Zbl 1070.65032
Verdonk, B.; Vervloet, J.; Cuyt, A.
1
2005
Multivariate rational interpolation of scattered data. Zbl 1151.65313
Becuwe, Stefan; Cuyt, Annie; Verdonk, Brigitte
3
2004
Spherical orthogonal polynomials and symbolic-numeric Gaussian cubature formulas. Zbl 1080.68741
Cuyt, Annie; Benouahmane, Brahim; Verdonk, Brigitte
1
2004
Multivariate two-point Padé-type and two-point Padé approximants. Zbl 1024.41010
Abouir, J.; Cuyt, A.; Orive, R.
2
2003
Properties of multivariate homogeneous orthogonal polynomials. Zbl 0989.41010
Benouahmane, Brahim; Cuyt, Annie
6
2001
A remarkable example of catastrophic cancellation unraveled. Zbl 0999.65031
Cuyt, A.; Verdonk, B.; Becuwe, S.; Kuterna, P.
4
2001
A precision- and range-independent tool for testing floating-point arithmetic. II: Conversions. Zbl 1070.68509
Verdonk, Brigitte; Cuyt, Annie; Verschaeren, Dennis
1
2001
A precision- and range-independent tool for testing floating-point arithmetric. I: Basic operations, square root, and remainder. Zbl 1070.68508
Verdonk, Brigitte; Cuyt, Annie; Verschaeren, Dennis
1
2001
Symbolic-numeric QD-algorithms with applications in function theory and linear algebra. Zbl 0986.65018
Cuyt, Annie
1
2001
Multivariate orthogonal polynomials, homogeneous Padé approximants and Gaussian cubature. Zbl 0962.65022
Benouahmane, Brahim; Cuyt, Annie
3
2000
How well can the concept of Padé approximant be generalized to the multivariate case? Zbl 0945.41012
Cuyt, Annie
22
1999
Exploring multivariate Padé approximants for multiple hypergeometric series. Zbl 0926.41013
Cuyt, Annie; Driver, Kathy; Tan, Jieqing; Verdonk, Brigitte
6
1999
A finite sum representation of the Appell series \(F_1 (a, b, b^{\prime}; c; x, y)\). Zbl 0949.33013
Cuyt, A.; Driver, K.; Tan, J.; Verdonk, B.
4
1999
Extending the qd-algorithm to tackle multivariate problems. Zbl 0932.65002
Cuyt, Annie; Verdonk, Brigitte
1
1999
On the Froissart phenomenon in multivariate homogeneous Padé approximation. Zbl 0962.41011
Becuwe, Stefan; Cuyt, Annie
1
1999
A de Montessus theorem for multivariate homogeneous Padé approximants. Zbl 0885.41013
Cuyt, A.; Lubinsky, D. S.
7
1997
Floating-point versus symbolic computations in the \(qd\)-algorithm. Zbl 0910.65002
Cuyt, Annie
1
1997
Kronecker type theorems, normality and continuity of the multivariate Padé operator. Zbl 0860.41020
Cuyt, Annie; Driver, Kathy; Lubinsky, Doron
7
1996
On the size of lemniscates of polynomials in one and several variables. Zbl 0853.30003
Cuyt, A.; Driver, K.; Lubinsky, D. S.
7
1996
A direct approach to convergence of multivariate, nonhomogeneous, Padé approximants. Zbl 0851.41014
Cuyt, A.; Driver, K. A.; Lubinsky, D. S.
7
1996
On the convergence of general order multivariate Padé-type approximants. Zbl 0860.41019
Abouir, J.; Cuyt, A.; Gonzalez-Vera, P.; Orive, R.
6
1996
Nuttall-Pommerenke theorems for homogeneous Padé approximants. Zbl 0866.41014
Cuyt, A.; Driver, K.; Lubinsky, D. S.
6
1996
On the convergence of the multivariate “homogeneous” qd-algorithm. Zbl 0820.65001
Cuyt, Annie
3
1994
Singular rules for a multivariate quotient-difference algorithm. Zbl 0796.65003
Allouche, H.; Cuyt, A.
2
1994
Well-defined determinant representations for non-normal multivariate rational interpolants. Zbl 0792.41006
Allouche, H.; Cuyt, A.
2
1994
Nonlinear numerical methods and rational approximation II. Proceedings of the 3rd International Conference, held at the University of Antwerp, Belgium, 5-11 September 1993. Zbl 0798.00017
Cuyt, Annie (ed.)
1
1994
Multivariate partial Newton-Padé and Newton-Padé type approximants. Zbl 0780.41011
Abouir, J.; Cuyt, A.
6
1993
The need for knowledge and reliability in numeric computation: Case study of multivariate Padé approximation. Zbl 0799.65012
Cuyt, Annie; Verdonk, Brigitte
4
1993
Unattainable points in multivariate rational interpolation. Zbl 0774.41001
Allouche, H.; Cuyt, A.
2
1993
Extension of “A multivariate convergence theorem of the “de Montessus de Ballore” type” to multipoles. Zbl 0756.41023
Cuyt, A.
9
1992
On the structure of a table of multivariate rational interpolants. Zbl 0764.41008
Allouche, H.; Cuyt, A.
7
1992
Model reduction of multidimensional linear shift-invariant recursive systems using Padé techniques. Zbl 0765.93008
Cuyt, A.; Ogawa, S.; Verdonk, B.
1
1992
Rational Hermite interpolation in one and more variables. Zbl 0751.41013
Cuyt, Annie
1
1992
Padé approximation in one and more variables. Zbl 0751.41015
Cuyt, Annie
1
1992
A class of adaptive multivariate nonlinear iterative methods. Zbl 0741.65042
Cuyt, Annie
1
1991
A multivariate convergence theorem of the “de Montessus de Ballore” type. Zbl 0715.41023
Cuyt, A.
13
1990
Error formulas for multivariate rational interpolation and Padé approximation. Zbl 0697.41008
Abouir, J.; Cuyt, A.
1
1990
A review of branched continued fraction theory for the construction of multivariate rational approximants. Zbl 0644.65012
Cuyt, Annie A. M.; Verdonk, Brigitte M.
13
1988
Different techniques for the construction of multivariate rational interpolants. Zbl 0679.41012
Cuyt, A.; Verdonk, B.
6
1988
Multivariate reciprocal differences for branched Thiele continued fraction expansions. Zbl 0638.65014
Cuyt, Annie; Verdonk, Brigitte
6
1988
A multivariate QD-like algorithm. Zbl 0637.65013
Cuyt, Annie
4
1988
Nonlinear numerical methods and rational approximation. (Proceedings of a conference, held at the University of Antwerp, Belgium, 20-24 April 1987). Zbl 0658.00009
Cuyt, Annie (ed.)
3
1988
Evaluation of branched continued fractions using block-tridiagoal linear systems. Zbl 0644.65013
Cuyt, Annie; Verdonk, Brigitte
2
1988
Nonlinear methods in numerical analysis. Zbl 0609.65001
Cuyt, Annie; Wuytack, Luc
42
1987
A recursive computation scheme for multivariate rational interpolants. Zbl 0616.65012
Cuyt, A.
11
1987
Multivariate Padé approximants revisited. Zbl 0622.65011
Cuyt, Annie
23
1986
Singular rules for the calculation of non-normal multivariate Padé approximants. Zbl 0588.65006
Cuyt, A.
3
1986
A review of multivariate Padé approximation theory. Zbl 0572.41010
Cuyt, Annie A. M.
12
1985
A Montessus de Ballore theorem for multivariate Padé approximants. Zbl 0556.41012
Cuyt, Annie A. M.
12
1985
Multivariate rational interpolation. Zbl 0553.41004
Cuyt, Annie A. M.; Verdonk, Brigitte M.
10
1985
Computational implementation of the multivariate Halley method for solving nonlinear systems of equations. Zbl 0556.65041
Cuyt, Annie A. M.; Rall, L. B.
7
1985
Rounding error analysis for forward continued fraction algorithms. Zbl 0588.65018
Cuyt, Annie; van der Cruyssen, Paul
2
1985
Padé approximants for operators: theory and applications. Zbl 0538.41024
Cuyt, Annie
22
1984
General order Newton-Padé approximants for multivariate functions. Zbl 0513.41008
Cuyt, Annie A. M.; Verdonk, Brigitte M.
20
1984
On the continuity of the multivariate Padé operator. Zbl 0543.41018
Cuyt, Annie; Wuytack, L.; Werner, Helmut
6
1984
The QD-algorithm for Padé-approximants in operator theory. Zbl 0558.65039
Cuyt, Annie A. M.
1
1984
Multivariate Padé-approximants. Zbl 0525.41017
Cuyt, Annie A. M.
18
1983
The QD-algorithm and multivariate Padé-approximants. Zbl 0536.65011
Cuyt, Annie A. M.
9
1983
A comparison of some multivariate Padé-approximants. Zbl 0508.41016
Cuyt, Annie A. M.
7
1983
Abstract Padé-approximants for the solution of a system of nonlinear equations. Zbl 0521.41015
Cuyt, Annie; van der Cruyssen, Paul
6
1983
The \(\epsilon\)-algorithm and Padé-approximants in operator theory. Zbl 0538.65036
Cuyt, Annie A. M.
2
1983
Accelerating the convergence of a table with multiple entry. Zbl 0494.65002
Cuyt, Annie A. M.
1
1983
The epsilon-algorithm and multivariate Padé-approximants. Zbl 0499.65005
Cuyt, Annie A. M.
8
1982
Regularity and normality of abstract Padé approximants projection- property and product-property. Zbl 0519.41021
Cuyt, Annie A. M.
3
1982
Padé-approximants in operator theory for the solution of nonlinear differential and integral equations. Zbl 0507.65022
Cuyt, Annie A. M.
1
1982
Numerical stability of the Halley-iteration for the solution of a system of nonlinear equations. Zbl 0495.65018
Cuyt, Annie A. M.
1
1982
On the properties of abstract rational (1-point) approximants. Zbl 0487.41021
Cuyt, Annie A. M.
3
1981
Abstract Padé-approximants in operator theory. Zbl 0431.41019
Cuyt, Annie A. M.
4
1979
all top 5

Cited by 387 Authors

58 Cuyt, Annie A. M.
11 Verdonk, Brigitte M.
10 Zhou, Ping
8 Lee, Wen-shin
7 Allouche, Hassane
7 Salazar Celis, Oliver
7 Tan, Jieqing
6 Brezinski, Claude
6 Lasserre, Jean-Bernard
5 Benouahmane, Brahim
5 Dmytryshyn, R. I.
5 Lubinsky, Doron S.
4 Driver, Kathy A.
4 Guillaume, Philippe
4 Jones, William Branham
4 Plonka, Gerlind
4 Weniger, Ernst Joachim
4 Yaman, İrem
3 Abouir, Jilali
3 Bittens, Sina Vanessa
3 Bultheel, Adhemar François
3 García, Zebenzuí
3 Gu, Chuanqing
3 Guzel, Nuran
3 Huard, Alain
3 Josuat-Vergès, Matthieu
3 Karp, Dmitriĭ Borisovich
3 Sakurai, Tetsuya
3 Turut, Veyis
2 Berriochoa, Elías
2 Berrut, Jean-Paul
2 Cachafeiro, Alicia
2 Chen, Chaoping
2 Chernets’ka, L. O.
2 Deschrijver, Dirk
2 Dhaene, Tom
2 Effati, Sohrab
2 Ghanou, Noura
2 Golub, Anatoly P.
2 Hariharan, Govind
2 Hosseinpour, Soleiman
2 Iaccarino, Gianluca
2 Knockaert, Luc
2 Kunis, Stefan
2 Lei, Na
2 Ludu, Andrei
2 Mourrain, Bernard
2 Mühlbach, Günter W.
2 Nazemi, Alireza
2 Njåstad, Olav
2 Orive Rodríguez, Ramón Angel
2 Phung-Duc, Tuan
2 Prilepkina, Elena Gumarovna
2 Rajaraman, Rajesh
2 Redivo-Zaglia, Michela
2 Sugiura, Hiroshi
2 Tang, Min
2 Thron, Wolfgang Joseph
2 Tohidi, Emran
2 Torii, Tatsuo
2 Van Assche, Walter
2 Werner, Helmut
2 Xia, Peng
2 Zeng, Zhenbing
2 Zhang, Shugong
2 Zhu, Gongqin
1 Abelman, Shirley
1 Abergel, Rémy
1 Achutan, P.
1 Adrovic, Danko
1 Ahmadi-Asl, Salman
1 Akal, Cevdet
1 Akbarpour, Behzad
1 Allison, David B.
1 Aminataei, Azim
1 Andersson, Fredrik K.
1 Argyros, Ioannis Konstantinos
1 Ariznabarreta, Gerardo
1 Artz, Johannes
1 Bang, Joon-Won
1 Bangalore, Sai Santosh
1 Bao, Fangxun
1 Barrio, Roberto
1 Bashirov, Agamirza E.
1 Beckermann, Bernard
1 Beckermann, Bernhard
1 Becuwe, Stefan
1 Belaghi, Mahmoud Jafari Shah
1 Bender, Carl M.
1 Benelkourchi, Slimane
1 Berthé, Valérie
1 Beşenk, Murat
1 Bhalekar, Sachin
1 Bodnar, D. I.
1 Bojdi, Z. Kalateh
1 Bonan-Hamada, Catherine M.
1 Bonizzoni, Francesca
1 Borghi, Riccardo
1 Borwein, Peter Benjamin
1 Brudnyi, Alexander
...and 287 more Authors
all top 5

Cited in 96 Serials

51 Journal of Computational and Applied Mathematics
21 Numerical Algorithms
16 Journal of Approximation Theory
15 Applied Mathematics and Computation
12 Applied Numerical Mathematics
9 Advances in Computational Mathematics
6 Computers & Mathematics with Applications
6 Journal of Mathematical Analysis and Applications
5 Journal of Mathematical Physics
5 BIT
5 Computing
4 Journal of Computational Physics
4 Ukrainian Mathematical Journal
4 Mathematics of Computation
4 Proceedings of the American Mathematical Society
3 Rocky Mountain Journal of Mathematics
3 Numerische Mathematik
3 Constructive Approximation
3 Discrete & Computational Geometry
3 Applied Mathematics Letters
3 Linear Algebra and its Applications
3 Journal of Systems Science and Complexity
2 Computer Physics Communications
2 Theoretical Computer Science
2 Advances in Applied Mathematics
2 Computer Aided Geometric Design
2 Journal of Symbolic Computation
2 Matematychni Metody ta Fizyko-Mekhanichni Polya
2 Journal of Mathematical Chemistry
2 The Ramanujan Journal
2 Abstract and Applied Analysis
2 Foundations of Computational Mathematics
1 Computer Methods in Applied Mechanics and Engineering
1 Discrete Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 International Journal of Systems Science
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of the Franklin Institute
1 Journal of Mathematical Biology
1 Nonlinearity
1 Arkiv för Matematik
1 Advances in Mathematics
1 International Journal of Mathematics and Mathematical Sciences
1 International Journal for Numerical Methods in Engineering
1 Mathematics and Computers in Simulation
1 Programming and Computer Software
1 Transactions of the American Mathematical Society
1 European Journal of Combinatorics
1 Statistics & Probability Letters
1 Circuits, Systems, and Signal Processing
1 Acta Applicandae Mathematicae
1 Journal of Automated Reasoning
1 Journal of Economic Dynamics & Control
1 SIAM Journal on Matrix Analysis and Applications
1 Annals of Operations Research
1 Multidimensional Systems and Signal Processing
1 Journal of Global Optimization
1 Computer Science in Economics and Management
1 Computational Mathematics and Mathematical Physics
1 Aequationes Mathematicae
1 Applied Mathematical Modelling
1 International Journal of Computer Mathematics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Computational Statistics and Data Analysis
1 Indagationes Mathematicae. New Series
1 SIAM Journal on Scientific Computing
1 Applied and Computational Harmonic Analysis
1 Journal of Mathematical Sciences (New York)
1 Computational and Applied Mathematics
1 ETNA. Electronic Transactions on Numerical Analysis
1 The Journal of Fourier Analysis and Applications
1 Fractional Calculus & Applied Analysis
1 Journal of High Energy Physics
1 Scandinavian Actuarial Journal
1 The Journal of Logic and Algebraic Programming
1 Journal of Applied Mathematics
1 Journal of Applied Mathematics and Computing
1 SIAM Journal on Applied Dynamical Systems
1 Structural and Multidisciplinary Optimization
1 Mediterranean Journal of Mathematics
1 Advances in Difference Equations
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Frontiers of Mathematics in China
1 European Journal of Pure and Applied Mathematics
1 Electronic Journal of Statistics
1 SIAM Journal on Imaging Sciences
1 Operational Research. An International Journal
1 Advances in Mathematical Physics
1 Advances in Numerical Analysis
1 International Journal of Differential Equations
1 Applied General Topology
1 ISRN Mathematical Analysis
1 Journal of Classical Analysis
1 Carpathian Mathematical Publications
1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
1 Cogent Mathematics
all top 5

Cited in 50 Fields

132 Numerical analysis (65-XX)
119 Approximations and expansions (41-XX)
29 Special functions (33-XX)
27 Functions of a complex variable (30-XX)
22 Sequences, series, summability (40-XX)
22 Harmonic analysis on Euclidean spaces (42-XX)
16 Partial differential equations (35-XX)
15 Computer science (68-XX)
14 Information and communication theory, circuits (94-XX)
13 Number theory (11-XX)
13 Operations research, mathematical programming (90-XX)
11 Real functions (26-XX)
10 Integral transforms, operational calculus (44-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Probability theory and stochastic processes (60-XX)
7 Combinatorics (05-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Ordinary differential equations (34-XX)
6 Statistics (62-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Commutative algebra (13-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Systems theory; control (93-XX)
4 Algebraic geometry (14-XX)
4 Measure and integration (28-XX)
4 Operator theory (47-XX)
3 History and biography (01-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Mechanics of deformable solids (74-XX)
3 Quantum theory (81-XX)
3 Biology and other natural sciences (92-XX)
2 Group theory and generalizations (20-XX)
2 Functional analysis (46-XX)
2 Convex and discrete geometry (52-XX)
2 Optics, electromagnetic theory (78-XX)
1 General and overarching topics; collections (00-XX)
1 Field theory and polynomials (12-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Fluid mechanics (76-XX)
1 Astronomy and astrophysics (85-XX)

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