Hits ?▲ |
Authors |
Title |
Venue |
Year |
Link |
Author keywords |
119 | Dongshu Yan, Jintao Zhang, Bo Yu 0003, Changtong Luo, Shaoliang Zhang |
A Genetic Algorithm for Finding Minimal Multi-homogeneous Bézout Number. |
ACIS-ICIS |
2008 |
DBLP DOI BibTeX RDF |
minimal multi-homogeneous Bezout number, genetic algorithm, heuristics, polynomial equations |
101 | Jean-François Pommaret, Alban Quadrat |
Generalized Bezout Identity. |
Appl. Algebra Eng. Commun. Comput. |
1998 |
DBLP DOI BibTeX RDF |
Generalized Bezout identity, Janet sequence, Formal integrability, Commutative algebra, Controllability, Parametrization, D -module |
101 | S. Y. Ku, R. J. Adler |
Computing polynomial resultants: Bezout's determinant vs. Collins' reduced P.R.S. algorithm. |
Commun. ACM |
1969 |
DBLP DOI BibTeX RDF |
Bezout's determinant, Sylvester's determinant, g.c.d algorithm, multivariate polynomial equations, polynomial resultant, reduced p.r.s algorithm, resultant algorithm, Euclidean algorithm, elimination |
96 | Gregorio Malajovich, Klaus Meer |
Computing Minimal Multi-Homogeneous Bezout Numbers Is Hard. |
Theory Comput. Syst. |
2007 |
DBLP DOI BibTeX RDF |
|
96 | Gregorio Malajovich, Klaus Meer |
Computing Minimal Multi-homogeneous Bézout Numbers Is Hard. |
STACS |
2005 |
DBLP DOI BibTeX RDF |
|
83 | Dongxia Sun, Lihong Zhi |
Structured Low Rank Approximation of a Bezout Matrix. |
Math. Comput. Sci. |
2007 |
DBLP DOI BibTeX RDF |
Bezout matrix, approximate greatest common divisor, structured nonlinear total least squares, symbolic/numeric hybrid method |
77 | Amit Khetan |
Determinantal formula for the chow form of a toric surface. |
ISSAC |
2002 |
DBLP DOI BibTeX RDF |
Bézout matrix, chow form, sparse resultant, toric variety |
65 | Dhavide A. Aruliah, Robert M. Corless, Laureano González-Vega, Azar Shakoori |
Geometric applications of the Bezout matrix in the Lagrange basis. |
SNC |
2007 |
DBLP DOI BibTeX RDF |
Bézout matrix, Lagrange basis, CAGD |
59 | Ioannis Z. Emiris, Angelos Mantzaflaris |
Multihomogeneous resultant formulae for systems with scaled support. |
ISSAC |
2009 |
DBLP DOI BibTeX RDF |
bézout, determinantal formula, maple implementation, multihomogeneous system, resultant matrix, sylvester |
59 | Alicia Dickenstein, Ioannis Z. Emiris |
Multihomogeneous resultant matrices. |
ISSAC |
2002 |
DBLP DOI BibTeX RDF |
Sylvester and Bézout type matrix, degree vector, determinantal, multihomogeneous system, sparse resultant, formula |
41 | Dario Andrea Bini, Paola Boito |
Structured matrix-based methods for polynomial in-gcd: analysis and comparisons. |
ISSAC |
2007 |
DBLP DOI BibTeX RDF |
bézout matrix, cauchy matrices, displacement structure, polynomial gcd, sylvester matrix |
41 | Yongli Sun, Jianping Yu |
Implicitization of Parametric Curves via Lagrange Interpolation. |
Computing |
2006 |
DBLP DOI BibTeX RDF |
Bézout resultant, curve, Implicitization, Lagrange interpolation |
36 | Ezequiel Dratman, Guillermo Matera, Ariel Waissbein |
Robust Algorithms For Generalized Pham Systems. |
Comput. Complex. |
2009 |
DBLP DOI BibTeX RDF |
Primary 14Q05, 68W30 - Secondary 12Y05, 13F25, 14Q20, Subject classification, 68W40 |
36 | Éric Schost |
Computing Parametric Geometric Resolutions. |
Appl. Algebra Eng. Commun. Comput. |
2003 |
DBLP DOI BibTeX RDF |
|
36 | Marc Giusti, Joos Heintz, Jose Enrique Morais, Luis Miguel Pardo |
When Polynomial Equation Systems Can Be "Solved" Fast?. |
AAECC |
1995 |
DBLP DOI BibTeX RDF |
|
36 | Dinesh Manocha |
Computing Selected Solutions of Polynomial Equations. |
ISSAC |
1994 |
DBLP DOI BibTeX RDF |
|
36 | Shreeram S. Abhyankar, Srinivasan Chandrasekar, Vijaya Chandru |
Improper intersection of algebraic curves. |
ACM Trans. Graph. |
1990 |
DBLP DOI BibTeX RDF |
|
24 | Susmit Bagchi |
A Topological Approach to the Bézout' Theorem and Its Forms. |
Symmetry |
2023 |
DBLP DOI BibTeX RDF |
|
24 | Weidong Wang, Jing Yang |
Variants of Bezout Subresultants for Several Univariate Polynomials. |
CoRR |
2023 |
DBLP DOI BibTeX RDF |
|
24 | Jing Yang, Wei Yang |
Bézout Subresultants for Univariate Polynomials in General Basis. |
CoRR |
2023 |
DBLP DOI BibTeX RDF |
|
24 | François Ollivier |
Bézout identities and control of the heat equation. |
CoRR |
2023 |
DBLP DOI BibTeX RDF |
|
24 | Weidong Wang, Jing Yang |
Two Variants of Bézout Subresultants for Several Univariate Polynomials. |
CASC |
2023 |
DBLP DOI BibTeX RDF |
|
24 | Boming Chi, Akira Terui |
The GPGCD Algorithm with the Bézout Matrix for Multiple Univariate Polynomials. |
CoRR |
2022 |
DBLP DOI BibTeX RDF |
|
24 | Luis M. Pardo, Daniel Sebastián |
A promenade through correct test sequences I: Degree of constructible sets, Bézout's Inequality and density. |
J. Complex. |
2022 |
DBLP DOI BibTeX RDF |
|
24 | Luca Gemignani, Lucia Romani, Alberto Viscardi |
Bezout-like polynomial equations associated with dual univariate interpolating subdivision schemes. |
Adv. Comput. Math. |
2022 |
DBLP DOI BibTeX RDF |
|
24 | Mohammadali Asadi, Alexander Brandt, David J. Jeffrey, Marc Moreno Maza |
Subresultant Chains Using Bézout Matrices. |
CASC |
2022 |
DBLP DOI BibTeX RDF |
|
24 | Sirin Akkaya, Onur Akbati, Ali Fuat Ergenç |
Stability analysis of connected vehicles with V2V communication and time delays: CTCR method via Bézout's resultant. |
Trans. Inst. Meas. Control |
2021 |
DBLP DOI BibTeX RDF |
|
24 | Amir Hashemi, Joos Heintz, Luis M. Pardo, Pablo Solernó |
On Bézout inequalities for non-homogeneous polynomial ideals. |
J. Symb. Comput. |
2021 |
DBLP DOI BibTeX RDF |
|
24 | Evangelos Bartzos, Ioannis Z. Emiris, Charalambos Tzamos |
The m-Bézout Bound and Distance Geometry. |
CASC |
2021 |
DBLP DOI BibTeX RDF |
|
24 | Evangelos Bartzos, Ioannis Z. Emiris, Josef Schicho |
On the multihomogeneous Bézout bound on the number of embeddings of minimally rigid graphs. |
Appl. Algebra Eng. Commun. Comput. |
2020 |
DBLP DOI BibTeX RDF |
|
24 | Luca Gemignani, Lucia Romani, Alberto Viscardi |
Bezout-like polynomial equations associated with dual univariate interpolating subdivision schemes. |
CoRR |
2020 |
DBLP BibTeX RDF |
|
24 | Maroua Gamanda, Henri Lombardi, Stefan Neuwirth, Ihsen Yengui |
The syzygy theorem for Bézout rings. |
Math. Comput. |
2020 |
DBLP DOI BibTeX RDF |
|
24 | Emmanuel Godard, Damien Imbs, Michel Raynal, Gadi Taubenfeld |
From Bezout's Identity to Space-Optimal Election in Anonymous Memory Systems. |
PODC |
2020 |
DBLP DOI BibTeX RDF |
|
24 | Boming Chi, Akira Terui |
The GPGCD Algorithm with the Bézout Matrix. |
CASC |
2020 |
DBLP DOI BibTeX RDF |
|
24 | Boming Chi, Akira Terui |
The GPGCD algorithm with the Bézout matrix. |
ACM Commun. Comput. Algebra |
2019 |
DBLP DOI BibTeX RDF |
|
24 | Joab R. Winkler, Hanan Halawani |
The Sylvester and Bézout Resultant Matrices for Blind Image Deconvolution. |
J. Math. Imaging Vis. |
2018 |
DBLP DOI BibTeX RDF |
|
24 | Kazuyoshi Mori |
An Extension of Bézout Identify for Parametrization of Stabilizing Controllers with Single-Input Single-Output Plants. |
ICCA |
2018 |
DBLP DOI BibTeX RDF |
|
24 | Leili Rafiee Sevyeri, Robert M. Corless |
Linearization of a specific family of Bézout matrices. |
ACM Commun. Comput. Algebra |
2017 |
DBLP DOI BibTeX RDF |
|
24 | Amir Hashemi, Joos Heintz, Luis Miguel Pardo, Pablo Solernó |
On Bezout Inequalities for non-homogeneous Polynomial Ideals. |
CoRR |
2017 |
DBLP BibTeX RDF |
|
24 | Ryszard Mazurek, Michal Ziembowski |
On semilocal, Bézout and distributive generalized power series rings. |
Int. J. Algebra Comput. |
2015 |
DBLP DOI BibTeX RDF |
|
24 | Yuji Nakatsukasa, Vanni Noferini, Alex Townsend |
Computing the common zeros of two bivariate functions via Bézout resultants. |
Numerische Mathematik |
2015 |
DBLP DOI BibTeX RDF |
|
24 | Jinming Wu, Dianxuan Gong, Xiaolei Zhang 0002 |
An upper bound of the Bezout number for piecewise algebraic curves. |
J. Comput. Appl. Math. |
2015 |
DBLP DOI BibTeX RDF |
|
24 | Gennadi Puninski, Carlo Toffalori |
Decidability of Modules over a BéZout Domain D+xq[X] with d a Principal Ideal Domain and Q its Field of fractions. |
J. Symb. Log. |
2014 |
DBLP BibTeX RDF |
|
24 | Skander Belhaj |
Computing the polynomial remainder sequence via Bézout matrices. |
J. Comput. Appl. Math. |
2013 |
DBLP DOI BibTeX RDF |
|
24 | Feng-Gong Lang, Xiao-Ping Xu |
An Upper Bound of the Bezout Number for Piecewise Algebraic Curves over a Rectangular Partition. |
Int. J. Math. Math. Sci. |
2012 |
DBLP DOI BibTeX RDF |
|
24 | Nobuko Kosugi, Koichi Suyama |
A new method for solving Bezout equations over 2-D polynomial matrices from delay systems. |
Syst. Control. Lett. |
2012 |
DBLP DOI BibTeX RDF |
|
24 | Shaofan Wang, Renhong Wang 0001, Dehui Kong, Baocai Yin |
Estimate of The Bézout Number For Linear Piecewise Algebraic Curves Over Arbitrary Triangulations. |
SIAM J. Discret. Math. |
2011 |
DBLP DOI BibTeX RDF |
|
24 | Athanasios S. Stavridis, Sotirios Karachontzitis, Kostas Berberidis |
Bezout-based robust precoding for MIMO frequency selective channel using imperfect channel knowledge. |
EUSIPCO |
2011 |
DBLP BibTeX RDF |
|
24 | Miguel V. Carriegos, Araceli DeFrancisco-Iribarren, Rafael Santamaria-Sanchez |
The Effective Calculation of All Assignable Polynomials to a Single-Input System Over a BÉzout Domain. |
IEEE Trans. Autom. Control. |
2010 |
DBLP DOI BibTeX RDF |
|
24 | Renhong Wang 0001, Shaofan Wang |
The Bezout number for linear piecewise algebraic curves. |
Comput. Math. Appl. |
2010 |
DBLP DOI BibTeX RDF |
|
24 | Graham H. Norton |
Bézout Identities Associated to a Finite Sequence |
CoRR |
2010 |
DBLP BibTeX RDF |
|
24 | Jan Hilmar, Chris Smyth |
Euclid Meets Bézout: Intersecting Algebraic Plane Curves with the Euclidean Algorithm. |
Am. Math. Mon. |
2010 |
DBLP DOI BibTeX RDF |
|
24 | Maria Emilia Alonso, Henri Lombardi |
Local Bézout Theorem. |
J. Symb. Comput. |
2010 |
DBLP DOI BibTeX RDF |
|
24 | Costanza Conti, Luca Gemignani, Lucia Romani |
Solving Bezout-like polynomial equations for the design of interpolatory subdivision schemes. |
ISSAC |
2010 |
DBLP DOI BibTeX RDF |
|
24 | Gema M. Diaz-Toca, Nadia Ben Atti |
Block LU factorization of Hankel and Bezout matrices and Euclidean algorithm. |
Int. J. Comput. Math. |
2009 |
DBLP DOI BibTeX RDF |
|
24 | Michael Kerber |
Division-free computation of subresultants using Bezout matrices. |
Int. J. Comput. Math. |
2009 |
DBLP DOI BibTeX RDF |
|
24 | Michael Shub |
Complexity of Bezout's Theorem VI: Geodesics in the Condition (Number) Metric. |
Found. Comput. Math. |
2009 |
DBLP DOI BibTeX RDF |
Mathematics Subject Classification (2000) 65H10, 65H20 |
24 | Carlos Beltrán 0001, Michael Shub |
Complexity of Bezout's Theorem VII: Distance Estimates in the Condition Metric. |
Found. Comput. Math. |
2009 |
DBLP DOI BibTeX RDF |
Mathematics Subject Classification (2000) 65H10, 65H20 |
24 | Jounaidi Abdeljaoued, Gema M. Diaz-Toca, Laureano González-Vega |
Bezout matrices, Subresultant polynomials and parameters. |
Appl. Math. Comput. |
2009 |
DBLP DOI BibTeX RDF |
|
24 | Yuhui Tao, Heng Liang, Fengshan Bai |
A hybrid algorithm for multi-homogeneous Bézout number. |
Appl. Math. Comput. |
2007 |
DBLP DOI BibTeX RDF |
|
24 | Mohab Safey El Din, Philippe Trebuchet |
Strong bi-homogeneous Bézout theorem and its use in effective real algebraic geometry |
CoRR |
2006 |
DBLP BibTeX RDF |
|
24 | Dima Grigoriev |
Weak Bézout inequality for D-modules. |
J. Complex. |
2005 |
DBLP DOI BibTeX RDF |
|
24 | Xinying Zhang, Sun-Yuan Kung |
Capacity bound analysis for FIR Bézout equalizers in ISI MIMO channels. |
IEEE Trans. Signal Process. |
2005 |
DBLP DOI BibTeX RDF |
|
24 | Jounaidi Abdeljaoued, Gema M. Diaz-Toca, Laureano González-Vega |
Minors of Bezout matrices, subresultants and the parameterization of the degree of the polynomial greatest common divisor. |
Int. J. Comput. Math. |
2004 |
DBLP DOI BibTeX RDF |
|
24 | Gregorio Malajovich, Klaus Meer |
Computing Multi-Homogeneous Bezout Numbers is Hard |
CoRR |
2004 |
DBLP BibTeX RDF |
|
24 | Klaus Meer, Gregorio Malajovich |
On the Complexity of Computing Multi-Homogeneous Bézout Numbers. |
Algorithms and Complexity for Continuous Problems |
2004 |
DBLP BibTeX RDF |
|
24 | Yiteng Huang, Jacob Benesty, Jingdong Chen |
Separating ISI and CCI in a two-step FIR Bezout equalizer for MIMO systems of frequency-selective channels. |
ICASSP (4) |
2004 |
DBLP DOI BibTeX RDF |
|
24 | Ting Li 0001, Zhenjiang Lin, Fengshan Bai |
Heuristic methods for computing the minimal multi-homogeneous Bézout number. |
Appl. Math. Comput. |
2003 |
DBLP DOI BibTeX RDF |
|
24 | Dima Grigoriev |
Weak Bezout inequality for D-modules |
CoRR |
2003 |
DBLP BibTeX RDF |
|
24 | Sun-Yuan Kung, Yunnan Wu, Xinying Zhang |
Bezout space-time precoders and equalizers for MIMO channels. |
IEEE Trans. Signal Process. |
2002 |
DBLP DOI BibTeX RDF |
|
24 | Gema M. Diaz-Toca, Laureano González-Vega |
Barnett's Theorems About the Greatest Common Divisor of Several Univariate Polynomials Through Bezout-like Matrices. |
J. Symb. Comput. |
2002 |
DBLP DOI BibTeX RDF |
|
24 | Eng-Wee Chionh, Ming Zhang, Ronald N. Goldman |
Fast Computation of the Bezout and Dixon Resultant Matrices. |
J. Symb. Comput. |
2002 |
DBLP DOI BibTeX RDF |
|
24 | Sun-Yuan Kung, Yunnan Wu, Xinying Zhang |
Bezout equalization for STBC-MIMO systems. |
ICASSP |
2002 |
DBLP DOI BibTeX RDF |
|
24 | Eng-Wee Chionh, Thomas W. Sederberg |
On the minors of the implicitization Bézout matrix for a rational plane curve. |
Comput. Aided Geom. Des. |
2001 |
DBLP DOI BibTeX RDF |
|
24 | Daniel W. C. Ho, Zhiwei Gao 0001 |
Bezout identity related to reduced-order observer-based controllers for singular systems. |
Autom. |
2001 |
DBLP DOI BibTeX RDF |
|
24 | Tiejun Li, Fengshan Bai |
Minimizing multi-homogeneous Bézout numbers by a local search method. |
Math. Comput. |
2001 |
DBLP DOI BibTeX RDF |
|
24 | A. Quadrat |
Extended bézout identities. |
ECC |
2001 |
DBLP DOI BibTeX RDF |
|
24 | Olav Geil, Tom Høholdt |
Footprints or generalized Bezout's theorem. |
IEEE Trans. Inf. Theory |
2000 |
DBLP DOI BibTeX RDF |
|
24 | Catherine Bonnet, Jonathan R. Partington |
Bezout factors and L1-optimal controllers for delay systems using a two-parameter compensator scheme. |
IEEE Trans. Autom. Control. |
1999 |
DBLP DOI BibTeX RDF |
|
24 | P. Bikker, Alexei Yu. Uteshev |
On the Bézout Construction of the Resultant. |
J. Symb. Comput. |
1999 |
DBLP DOI BibTeX RDF |
|
24 | Gui-Liang Feng, Thammavarapu R. N. Rao, Gene A. Berg, Junmei Zhu |
Generalized Bezout's theorem and its applications in coding theory. |
IEEE Trans. Inf. Theory |
1997 |
DBLP DOI BibTeX RDF |
|
24 | Luca Gemignani |
GCD of Polynomials and Bezout Matrices. |
ISSAC |
1997 |
DBLP DOI BibTeX RDF |
|
24 | Alfonso Baños |
Stabilization of nonlinear systems based on a generalized Bézout identity. |
Autom. |
1996 |
DBLP DOI BibTeX RDF |
|
24 | Dario Bini, Luca Gemignani |
Erratum: Fast Parallel Computation of the Polynomial Remainder Sequence via Bezout and Hankel Matrices. |
SIAM J. Comput. |
1996 |
DBLP DOI BibTeX RDF |
|
24 | Dario Bini, Luca Gemignani |
Fast Parallel Computation of the Polynomial Remainder Sequence Via Bezout and Hankel Matrices. |
SIAM J. Comput. |
1995 |
DBLP DOI BibTeX RDF |
|
24 | Mike Shub, Steve Smale |
Complexity of Bezout's Theorem V: Polynomial Time. |
Theor. Comput. Sci. |
1994 |
DBLP DOI BibTeX RDF |
|
24 | Michael Shub, Steve Smale |
Complexity of Bezout's Theorem: III. Condition Number and Packing. |
J. Complex. |
1993 |
DBLP DOI BibTeX RDF |
|
24 | Yi Liu, Brian D. O. Anderson, Uy-Loi Ly |
Coprime factorization controller reduction with bezout identity induced frequency weighting. |
Autom. |
1990 |
DBLP DOI BibTeX RDF |
|
24 | Edoardo Ballico, Daniele C. Struppa |
Minimal degree solutions for the Bezout equation. |
Kybernetika |
1987 |
DBLP BibTeX RDF |
|
23 | Emilie Charrier, Lilian Buzer |
Reducing the Coefficients of a Two-Dimensional Integer Linear Constraint. |
IWCIA |
2008 |
DBLP DOI BibTeX RDF |
integer convex hull, Bezout identity, logarithmic time complexity, Linear constraint, continued fraction |
23 | Jean-Pierre Dedieu, Gregorio Malajovich, Mike Shub |
On the Curvature of the Central Path of Linear Programming Theory. |
Found. Comput. Math. |
2005 |
DBLP DOI BibTeX RDF |
Integral geometry, Multihomogeneous Bezout theorem, Curvature, Interior point methods, Central path |
23 | Gema M. Diaz-Toca, Laureano González-Vega |
Various New Expressions for Subresultants and Their Applications. |
Appl. Algebra Eng. Commun. Comput. |
2004 |
DBLP DOI BibTeX RDF |
Subresultant polynomials and roots, Bezout matrix, Matrix theory |
23 | Jan Verschelde |
Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by homotopy continuation. |
ACM Trans. Math. Softw. |
1999 |
DBLP DOI BibTeX RDF |
Bézout number, Bernshtein's theorem, Schubert calculus, enumerative geometry, mixed volume, polyhedral homotopy, root count, start system, Ada, polynomial systems, homotopy continuation |
23 | Juan Sabia, Pablo Solernó |
Bounds for traces in complete intersections and degrees in the Nullstellensatz. |
Appl. Algebra Eng. Commun. Comput. |
1995 |
DBLP DOI BibTeX RDF |
Complete intersection polynomial ideals, Bezout’s inequality, Effective Nullstellensatz, Bertini’s theorem, Trace theory |
23 | George E. Collins |
Letters to the editor: comment on a paper by Ku and Adler. |
Commun. ACM |
1969 |
DBLP DOI BibTeX RDF |
Bezout determinant, Laplace determinant expansion, g.e.d algorithms, polynomial resultants, reduced p.r.s. algorithm, resultant algorithms, analysis of algorithms |
18 | Tristan Roussillon, Laure Tougne, Isabelle Sivignon |
What Does Digital Straightness Tell about Digital Convexity? |
IWCIA |
2009 |
DBLP DOI BibTeX RDF |
digital straightness, digital convexity, maximal segment, convex and concave parts, digital geometry |
18 | Loïck Lhote, Brigitte Vallée |
Gaussian Laws for the Main Parameters of the Euclid Algorithms. |
Algorithmica |
2008 |
DBLP DOI BibTeX RDF |
Euclid’s algorithms, Distributional analysis, Transfer operator, Asymptotic Gaussian laws, Tauberian theorems, Perron’s formula, Dynamical analysis of algorithms, Dynamical systems, Analysis of algorithms, Average-case analysis |
18 | Yutaka Yamamoto, Jan C. Willems |
Behavioral controllability and coprimeness for a class of infinite-dimensional systems. |
CDC |
2008 |
DBLP DOI BibTeX RDF |
|
18 | Carlos Beltrán 0001, Luis Miguel Pardo |
Estimates on the Distribution of the Condition Number of Singular Matrices. |
Found. Comput. Math. |
2007 |
DBLP DOI BibTeX RDF |
|
18 | Hai-Jun Su, J. Michael McCarthy, Masha Sosonkina, Layne T. Watson |
Algorithm 857: POLSYS_GLP - a parallel general linear product homotopy code for solving polynomial systems of equations. |
ACM Trans. Math. Softw. |
2006 |
DBLP DOI BibTeX RDF |
Chow-Yorke algorithm, Fortran 95, general linear product, linear product decomposition, probability-one, fixed point, globally convergent, zero, curve tracking, homotopy methods |