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Gonzalez-Vega, Laureano

Author ID: gonzalez-vega.laureano Recent zbMATH articles by "Gonzalez-Vega, Laureano"
Published as: Gonzalez-Vega, Laureano; González-Vega, Laureano; Gonzalez-Vega, L.; González-Vega, L.; Gonzales-Vega, Laureano; González Vega, Laureano
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

70 Publications have been cited 512 times in 360 Documents Cited by Year
Efficient topology determination of implicitly defined algebraic plane curves. Zbl 1043.68105
Gonzalez-Vega, Laureano; Necula, Ioana
62
2002
An improved upper complexity bound for the topology computation of a real algebraic plane curve. Zbl 0862.68062
González-Vega, Laureano; El Kahoui, M’hammed
31
1996
Spécialisation de la suite de Sturm et sous-résultants. I. (Specialization of the Sturm sequence and subresultants. I). Zbl 0732.68059
González-Vega, L.; Lombardi, H.; Recio, T.; Roy, M.-F.
24
1990
Sturm-Habicht sequences, determinants and real roots of univariate polynomials. Zbl 0900.12002
González-Vega, L.; Recio, T.; Lombardi, H.; Roy, M.-F.
23
1998
Implicitization of parametric curves and surfaces by using multidimensional Newton formulae. Zbl 0872.68192
Gonzalez-Vega, Laureano
16
1997
Barnett’s theorems about the greatest common divisor of several univariate polynomials through Bezout-like matrices. Zbl 1026.13010
Diaz-Toca, Gema M.; Gonzalez-Vega, Laureano
16
2002
Symbolic recipes for polynomial system solving. Zbl 0966.13020
Gonzalez-Vega, Laureano; Rouillier, Fabrice; Roy, Marie-Françoise
15
1999
Symbolic recipes for real solutions. Zbl 0994.12003
Gonzalez-Vega, Laureano; Rouillier, Fabrice; Roy, Marie-Françoise; Trujillo, Guadalupe
15
1999
An elementary proof of Barnett’s theorem about the greatest common divisor of several univariate polynomials. Zbl 0866.12002
González-Vega, Laureano
14
1996
Barycentric Hermite interpolants for event localization in initial-value problems. Zbl 1188.65014
Corless, Robert M.; Shakoori, Azar; Aruliah, D. A.; Gonzales-Vega, Laureano
14
2008
Various new expressions for subresultants and their applications. Zbl 1073.15007
Diaz-Toca, Gema M.; Gonzalez-Vega, Laureano
12
2004
Minors of Bézout matrices, subresultants and the parameterization of the degree of the polynomial greatest common divisor. Zbl 1063.65020
Abdeljaoued, J.; Diaz-Toca, G. M.; Gonzalez-Vega, L.
12
2004
A combinatorial algorithm solving some quantifier elimination problems. Zbl 0900.68277
González-Vega, Laureano
12
1998
On algorithms for real algebraic plane curves. Zbl 0737.14017
Cucker, Felipe; González-Vega, Laureano; Rossello, Francesc
11
1991
Parameterizing surfaces with certain special support functions, including offsets of quadrics and rationally supported surfaces. Zbl 1157.65015
Aigner, Martin; Jüttler, Bert; Gonzalez-Vega, Laureano; Schicho, Josef
11
2009
A new approach to characterizing the relative position of two ellipses depending on one parameter. Zbl 1097.65033
Etayo, Fernando; Gonzalez-Vega, Laureano; Del Rio, Natalia
11
2006
A continuous and rational solution to Hilbert’s 17th problem and several cases of the Positivstellensatz. Zbl 0804.14001
Delzell, C. N.; González-Vega, Laureano; Lombardi, H.
10
1993
Computing greatest common divisors and squarefree decompositions through matrix methods: the parametric and approximate cases. Zbl 1084.65037
Diaz-Toca, Gema M.; Gonzalez-Vega, Laureano
10
2006
Generalizing Cramer’s rule: solving uniformly linear systems of equations. Zbl 1097.15006
Diaz-Toca, Gema M.; Gonzalez-Vega, Laureano; Lombardi, Henri
9
2005
Hilbert stratification and parametric Gröbner bases. Zbl 1169.68662
Gonzalez-Vega, Laureano; Traverso, Carlo; Zanoni, Alberto
9
2005
Computing the intersection of two ruled surfaces by using a new algebraic approach. Zbl 1124.65022
Fioravanti, Mario; Gonzalez-Vega, Laureano; Necula, Ioana
9
2006
Using symmetric functions to describe the solution set of a zero dimensional ideal. Zbl 0894.12005
González-Vega, Laureano; Trujillo, Guadalupe
7
1995
Applying quantifier elimination to the Birkhoff interpolation problem. Zbl 0870.65007
Gonzalez-Vega, Laureano
7
1996
Polynomial algebra for Birkhoff interpolants. Zbl 1218.41002
Butcher, John C.; Corless, Robert M.; Gonzalez-Vega, Laureano; Shakoori, Azar
7
2011
Une théorie des sous-résultants pour les polynômes en plusieurs variables. (A subresultant theory for multivariate polynomials). Zbl 0776.13011
González-Vega, Laureano
7
1991
Algebraic methods in computer aided geometric design: theoretical and practical applications. Zbl 1082.65506
González-Vega, Laureano; Necula, Ioana; Pérez-Díaz, Sonia; Sendra, Juana; Sendra, J. Rafael
7
2004
Determinantal formulae for the solution set of zero-dimensional ideals. Zbl 0743.13016
González-Vega, Laureano
6
1991
Dynamic evaluation and real closure. Zbl 1037.68542
Duval, Dominique; González-Vega, L.
6
1996
Algebraic linearizations of matrix polynomials. Zbl 1433.15018
Chan, Eunice Y. S.; Corless, Robert M.; Gonzalez-Vega, Laureano; Sendra, J. Rafael; Sendra, Juana
6
2019
Bezout matrices, subresultant polynomials and parameters. Zbl 1209.12009
Abdeljaoued, Jounaidi; Diaz-Toca, Gema M.; Gonzalez-Vega, Laureano
6
2009
Upper Hessenberg and Toeplitz Bohemians. Zbl 1508.15020
Chan, Eunice Y. S.; Corless, Robert M.; Gonzalez-Vega, Laureano; Sendra, J. Rafael; Sendra, Juana; Thornton, Steven E.
6
2020
Specialization of the Sturm sequence. (Spécialisation de la suite de Sturm.) Zbl 0999.12502
González-Vega, Laureano; Lombardi, Henri; Recio, Thomas; Roy, Marie-Françoise
5
1994
Computing the topology of a real algebraic plane curve whose defining equations are available only “by values”. Zbl 1285.14065
Corless, Robert M.; Diaz-Toca, Gema M.; Fioravanti, Mario; Gonzalez-Vega, Laureano; Rua, Ignacio F.; Shakoori, Azar
5
2013
Multiple modes in densities with normal conditionals. Zbl 0958.62050
Arnold, Barry C.; Castillo, Enrique; Sarabia, José Maria; González-Vega, Laureano
4
2000
Virtual roots of real polynomials. Zbl 0893.12002
Gonzalez-Vega, Laureano; Lombardi, Henri; Mahé, Louis
4
1998
Computing isophotes on free-form surfaces based on support function approximation. Zbl 1258.65020
Aigner, Martin; Gonzalez-Vega, L.; Jüttler, Bert; Sampoli, M. L.
4
2009
A subresultant theory for multivariate polynomials. Zbl 0921.13017
González Vega, Laureano
4
1991
Newton identities in the multivariate case: Pham systems. Zbl 0902.12006
González-López, María-José; González-Vega, Laureano
4
1998
Using implicit equations of parametric curves and surfaces without computing them: Polynomial algebra by values. Zbl 1255.65048
Diaz-Toca, Gema M.; Fioravanti, Mario; Gonzalez-Vega, Laureano; Shakoori, Azar
4
2013
On the geometric extraneous components appearing when using implicitization. Zbl 1080.65520
Fioravanti, Mario; Gonzalez-Vega, Laureano
4
2005
Smooth parametrizations for several cases of the Positivstellensatz. Zbl 0892.14001
Gonzalez-Vega, Laureano; Lombardi, Henri
3
1997
Multivariate Sturm-Habicht sequences: Real root counting on \(n\)-rectangles and triangles. Zbl 0999.12002
González-Vega, Laureano; Trujillo, Guadalupe
3
1997
On the intersection with revolution and canal surfaces. Zbl 1107.65309
Fioravanti, Mario; Gonzalez-Vega, Laureano; Necula, Ioana
3
2006
Solving the implicitization, inversion and reparametrization problems for rational curves through subresultants. Zbl 1205.65082
Gonzalez-Vega, Laureano; Rúa, I. F.
3
2009
Computing the topology of an arrangement of quartics. Zbl 1163.68347
Caravantes, Jorge; Gonzalez-Vega, Laureano
3
2007
An explicit description for the triangular decomposition of a zero-dimensional ideal through trace computations. Zbl 1009.68195
Díaz-Toca, Gema M.; González-Vega, Laureano
3
2001
Gröbner bases specialization through Hilbert functions: The homogeneous case. Zbl 1067.13502
Gonzalez-Lopez, M.-J.; Gonzalez-Vega, L.; Traverso, C.; Zanoni, A.
3
2000
A subresultant theory of multivariate polynomials. Zbl 0759.13011
González-Vega, Laureano
3
1990
Simultaneous elimination by using several tools from real algebraic geometry. Zbl 0952.14043
Gonzalez-Vega, Laureano; Gonzalez-Campos, Neila
3
1999
Bisectors and Voronoï diagram of a family of parallel half-lines. Zbl 1331.65033
Adamou, I.; Fioravanti, M.; Gonzalez-Vega, L.; Mourrain, B.
3
2014
A real Nullstellensatz and Positivstellensatz for the semipolynomials over an ordered field. Zbl 0826.12004
González-Vega, Laureano; Lombardi, Henri
3
1993
On the complexity of computing the greatest common divisor of several univariate polynomials. Zbl 1507.13006
González-Vega, Laureano
3
1995
On analyzing a conjecture about univariate polynomials and their roots by using Maple. Zbl 1108.65046
Diaz-Toca, Gema M.; Gonzalez-Vega, Laureano
2
2006
Multivariate Newton sums: identities and generating functions. Zbl 1038.12008
Briand, Emmanuel; Gonzalez-Vega, Laureano
2
2002
Implicitization of parametric curves and surfaces by using symmetric functions. Zbl 0917.14033
González-Vega, L.; Trujillo, G.
2
1995
An evolution-based approach for approximate parameterization of implicitly defined curves by polynomial parametric spline curves. Zbl 1229.65045
Yang, Huaiping; Jüttler, Bert; Gonzalez-Vega, Laureano
2
2010
Finite type projective modules, crossed linear maps and generalized inverses. (Modules projectifs de type fini, applications linéaires croisées et inverses généralisés). Zbl 1104.15006
Diaz-Toca, Gema M.; Gonzalez-Vega, Laureano; Lombardi, Henri; Quitté, Claude
2
2006
Algorithmic and quantitative real algebraic geometry. Proceedings of the DIMACS workshop on algorithmic and quantitative aspects of real algebraic geometry in mathematics and computer science, DIMACS Center, March 12–16, 2001. Zbl 1015.00018
2
2003
Continuity properties for flat families of polynomials. I: Continuous parametrizations. Zbl 1027.13014
Galligo, André; Gonzalez-Vega, Laureano; Lombardi, Henri
2
2003
Tools for analyzing the intersection curve between two quadrics through projection and lifting. Zbl 1465.14032
Gonzalez-Vega, Laureano; Trocado, Alexandre
2
2021
Solving the interference problem for ellipses and ellipsoids: new formulae. Zbl 1491.65018
Caravantes, J.; Diaz-Toca, G. M.; Fioravanti, M.; Gonzalez-Vega, L.
2
2022
A special quantifier elimination algorithm for Pham systems. Zbl 0982.14033
Gonzalez-Vega, Laureano
1
2000
Improving the topology computation of an arrangement of cubics. Zbl 1154.65305
Caravantes, Jorge; Gonzalez-Vega, Laureano
1
2008
Geometric design with computer: algebra, geometry and computation. (Diseño geométrico asistido por ordenador: álgebra, geometría y computación.) Zbl 1147.68786
Caravantes, Jorge; González-Vega, Laureano
1
2008
Squarefree decomposition of univariate polynomials depending on a parameter. Application to the integration of parametric rational functions. Zbl 1003.12004
Diaz-Toca, Gema M.; Gonzalez-Vega, Laureano
1
2001
Algorithms in algebraic geometry and applications. Proceedings of the MEGA-94 conference, Santander, Spain, April 5-9, 1994. Zbl 0841.00016
1
1996
Working with real algebraic plane curves in REDUCE: the GCUR package. Zbl 1042.14506
González Vega, Laureano
1
1991
The Bézout matrix for Hermite interpolants. Zbl 1312.15055
Aruliah, D. A.; Corless, R. M.; Diaz-Toca, G. M.; Gonzalez-Vega, L.; Shakoori, A.
1
2015
Computing the topology of an arrangement of implicit and parametric curves given by values. Zbl 1416.68213
Caravantes, Jorge; Fioravanti, Mario; Gonzalez-Vega, Laureano; Necula, Ioana
1
2014
An algebraic framework for computing the topology of offsets to rational curves. Zbl 1366.65017
Caravantes, Jorge; Diaz-Toca, Gema Maria; Fioravanti, Mario; Gonzalez-Vega, Laureano; Necula, Ioana
1
2017
Solving the interference problem for ellipses and ellipsoids: new formulae. Zbl 1491.65018
Caravantes, J.; Diaz-Toca, G. M.; Fioravanti, M.; Gonzalez-Vega, L.
2
2022
Tools for analyzing the intersection curve between two quadrics through projection and lifting. Zbl 1465.14032
Gonzalez-Vega, Laureano; Trocado, Alexandre
2
2021
Upper Hessenberg and Toeplitz Bohemians. Zbl 1508.15020
Chan, Eunice Y. S.; Corless, Robert M.; Gonzalez-Vega, Laureano; Sendra, J. Rafael; Sendra, Juana; Thornton, Steven E.
6
2020
Algebraic linearizations of matrix polynomials. Zbl 1433.15018
Chan, Eunice Y. S.; Corless, Robert M.; Gonzalez-Vega, Laureano; Sendra, J. Rafael; Sendra, Juana
6
2019
An algebraic framework for computing the topology of offsets to rational curves. Zbl 1366.65017
Caravantes, Jorge; Diaz-Toca, Gema Maria; Fioravanti, Mario; Gonzalez-Vega, Laureano; Necula, Ioana
1
2017
The Bézout matrix for Hermite interpolants. Zbl 1312.15055
Aruliah, D. A.; Corless, R. M.; Diaz-Toca, G. M.; Gonzalez-Vega, L.; Shakoori, A.
1
2015
Bisectors and Voronoï diagram of a family of parallel half-lines. Zbl 1331.65033
Adamou, I.; Fioravanti, M.; Gonzalez-Vega, L.; Mourrain, B.
3
2014
Computing the topology of an arrangement of implicit and parametric curves given by values. Zbl 1416.68213
Caravantes, Jorge; Fioravanti, Mario; Gonzalez-Vega, Laureano; Necula, Ioana
1
2014
Computing the topology of a real algebraic plane curve whose defining equations are available only “by values”. Zbl 1285.14065
Corless, Robert M.; Diaz-Toca, Gema M.; Fioravanti, Mario; Gonzalez-Vega, Laureano; Rua, Ignacio F.; Shakoori, Azar
5
2013
Using implicit equations of parametric curves and surfaces without computing them: Polynomial algebra by values. Zbl 1255.65048
Diaz-Toca, Gema M.; Fioravanti, Mario; Gonzalez-Vega, Laureano; Shakoori, Azar
4
2013
Polynomial algebra for Birkhoff interpolants. Zbl 1218.41002
Butcher, John C.; Corless, Robert M.; Gonzalez-Vega, Laureano; Shakoori, Azar
7
2011
An evolution-based approach for approximate parameterization of implicitly defined curves by polynomial parametric spline curves. Zbl 1229.65045
Yang, Huaiping; Jüttler, Bert; Gonzalez-Vega, Laureano
2
2010
Parameterizing surfaces with certain special support functions, including offsets of quadrics and rationally supported surfaces. Zbl 1157.65015
Aigner, Martin; Jüttler, Bert; Gonzalez-Vega, Laureano; Schicho, Josef
11
2009
Bezout matrices, subresultant polynomials and parameters. Zbl 1209.12009
Abdeljaoued, Jounaidi; Diaz-Toca, Gema M.; Gonzalez-Vega, Laureano
6
2009
Computing isophotes on free-form surfaces based on support function approximation. Zbl 1258.65020
Aigner, Martin; Gonzalez-Vega, L.; Jüttler, Bert; Sampoli, M. L.
4
2009
Solving the implicitization, inversion and reparametrization problems for rational curves through subresultants. Zbl 1205.65082
Gonzalez-Vega, Laureano; Rúa, I. F.
3
2009
Barycentric Hermite interpolants for event localization in initial-value problems. Zbl 1188.65014
Corless, Robert M.; Shakoori, Azar; Aruliah, D. A.; Gonzales-Vega, Laureano
14
2008
Improving the topology computation of an arrangement of cubics. Zbl 1154.65305
Caravantes, Jorge; Gonzalez-Vega, Laureano
1
2008
Geometric design with computer: algebra, geometry and computation. (Diseño geométrico asistido por ordenador: álgebra, geometría y computación.) Zbl 1147.68786
Caravantes, Jorge; González-Vega, Laureano
1
2008
Computing the topology of an arrangement of quartics. Zbl 1163.68347
Caravantes, Jorge; Gonzalez-Vega, Laureano
3
2007
A new approach to characterizing the relative position of two ellipses depending on one parameter. Zbl 1097.65033
Etayo, Fernando; Gonzalez-Vega, Laureano; Del Rio, Natalia
11
2006
Computing greatest common divisors and squarefree decompositions through matrix methods: the parametric and approximate cases. Zbl 1084.65037
Diaz-Toca, Gema M.; Gonzalez-Vega, Laureano
10
2006
Computing the intersection of two ruled surfaces by using a new algebraic approach. Zbl 1124.65022
Fioravanti, Mario; Gonzalez-Vega, Laureano; Necula, Ioana
9
2006
On the intersection with revolution and canal surfaces. Zbl 1107.65309
Fioravanti, Mario; Gonzalez-Vega, Laureano; Necula, Ioana
3
2006
On analyzing a conjecture about univariate polynomials and their roots by using Maple. Zbl 1108.65046
Diaz-Toca, Gema M.; Gonzalez-Vega, Laureano
2
2006
Finite type projective modules, crossed linear maps and generalized inverses. (Modules projectifs de type fini, applications linéaires croisées et inverses généralisés). Zbl 1104.15006
Diaz-Toca, Gema M.; Gonzalez-Vega, Laureano; Lombardi, Henri; Quitté, Claude
2
2006
Generalizing Cramer’s rule: solving uniformly linear systems of equations. Zbl 1097.15006
Diaz-Toca, Gema M.; Gonzalez-Vega, Laureano; Lombardi, Henri
9
2005
Hilbert stratification and parametric Gröbner bases. Zbl 1169.68662
Gonzalez-Vega, Laureano; Traverso, Carlo; Zanoni, Alberto
9
2005
On the geometric extraneous components appearing when using implicitization. Zbl 1080.65520
Fioravanti, Mario; Gonzalez-Vega, Laureano
4
2005
Various new expressions for subresultants and their applications. Zbl 1073.15007
Diaz-Toca, Gema M.; Gonzalez-Vega, Laureano
12
2004
Minors of Bézout matrices, subresultants and the parameterization of the degree of the polynomial greatest common divisor. Zbl 1063.65020
Abdeljaoued, J.; Diaz-Toca, G. M.; Gonzalez-Vega, L.
12
2004
Algebraic methods in computer aided geometric design: theoretical and practical applications. Zbl 1082.65506
González-Vega, Laureano; Necula, Ioana; Pérez-Díaz, Sonia; Sendra, Juana; Sendra, J. Rafael
7
2004
Algorithmic and quantitative real algebraic geometry. Proceedings of the DIMACS workshop on algorithmic and quantitative aspects of real algebraic geometry in mathematics and computer science, DIMACS Center, March 12–16, 2001. Zbl 1015.00018
2
2003
Continuity properties for flat families of polynomials. I: Continuous parametrizations. Zbl 1027.13014
Galligo, André; Gonzalez-Vega, Laureano; Lombardi, Henri
2
2003
Efficient topology determination of implicitly defined algebraic plane curves. Zbl 1043.68105
Gonzalez-Vega, Laureano; Necula, Ioana
62
2002
Barnett’s theorems about the greatest common divisor of several univariate polynomials through Bezout-like matrices. Zbl 1026.13010
Diaz-Toca, Gema M.; Gonzalez-Vega, Laureano
16
2002
Multivariate Newton sums: identities and generating functions. Zbl 1038.12008
Briand, Emmanuel; Gonzalez-Vega, Laureano
2
2002
An explicit description for the triangular decomposition of a zero-dimensional ideal through trace computations. Zbl 1009.68195
Díaz-Toca, Gema M.; González-Vega, Laureano
3
2001
Squarefree decomposition of univariate polynomials depending on a parameter. Application to the integration of parametric rational functions. Zbl 1003.12004
Diaz-Toca, Gema M.; Gonzalez-Vega, Laureano
1
2001
Multiple modes in densities with normal conditionals. Zbl 0958.62050
Arnold, Barry C.; Castillo, Enrique; Sarabia, José Maria; González-Vega, Laureano
4
2000
Gröbner bases specialization through Hilbert functions: The homogeneous case. Zbl 1067.13502
Gonzalez-Lopez, M.-J.; Gonzalez-Vega, L.; Traverso, C.; Zanoni, A.
3
2000
A special quantifier elimination algorithm for Pham systems. Zbl 0982.14033
Gonzalez-Vega, Laureano
1
2000
Symbolic recipes for polynomial system solving. Zbl 0966.13020
Gonzalez-Vega, Laureano; Rouillier, Fabrice; Roy, Marie-Françoise
15
1999
Symbolic recipes for real solutions. Zbl 0994.12003
Gonzalez-Vega, Laureano; Rouillier, Fabrice; Roy, Marie-Françoise; Trujillo, Guadalupe
15
1999
Simultaneous elimination by using several tools from real algebraic geometry. Zbl 0952.14043
Gonzalez-Vega, Laureano; Gonzalez-Campos, Neila
3
1999
Sturm-Habicht sequences, determinants and real roots of univariate polynomials. Zbl 0900.12002
González-Vega, L.; Recio, T.; Lombardi, H.; Roy, M.-F.
23
1998
A combinatorial algorithm solving some quantifier elimination problems. Zbl 0900.68277
González-Vega, Laureano
12
1998
Virtual roots of real polynomials. Zbl 0893.12002
Gonzalez-Vega, Laureano; Lombardi, Henri; Mahé, Louis
4
1998
Newton identities in the multivariate case: Pham systems. Zbl 0902.12006
González-López, María-José; González-Vega, Laureano
4
1998
Implicitization of parametric curves and surfaces by using multidimensional Newton formulae. Zbl 0872.68192
Gonzalez-Vega, Laureano
16
1997
Smooth parametrizations for several cases of the Positivstellensatz. Zbl 0892.14001
Gonzalez-Vega, Laureano; Lombardi, Henri
3
1997
Multivariate Sturm-Habicht sequences: Real root counting on \(n\)-rectangles and triangles. Zbl 0999.12002
González-Vega, Laureano; Trujillo, Guadalupe
3
1997
An improved upper complexity bound for the topology computation of a real algebraic plane curve. Zbl 0862.68062
González-Vega, Laureano; El Kahoui, M’hammed
31
1996
An elementary proof of Barnett’s theorem about the greatest common divisor of several univariate polynomials. Zbl 0866.12002
González-Vega, Laureano
14
1996
Applying quantifier elimination to the Birkhoff interpolation problem. Zbl 0870.65007
Gonzalez-Vega, Laureano
7
1996
Dynamic evaluation and real closure. Zbl 1037.68542
Duval, Dominique; González-Vega, L.
6
1996
Algorithms in algebraic geometry and applications. Proceedings of the MEGA-94 conference, Santander, Spain, April 5-9, 1994. Zbl 0841.00016
1
1996
Using symmetric functions to describe the solution set of a zero dimensional ideal. Zbl 0894.12005
González-Vega, Laureano; Trujillo, Guadalupe
7
1995
On the complexity of computing the greatest common divisor of several univariate polynomials. Zbl 1507.13006
González-Vega, Laureano
3
1995
Implicitization of parametric curves and surfaces by using symmetric functions. Zbl 0917.14033
González-Vega, L.; Trujillo, G.
2
1995
Specialization of the Sturm sequence. (Spécialisation de la suite de Sturm.) Zbl 0999.12502
González-Vega, Laureano; Lombardi, Henri; Recio, Thomas; Roy, Marie-Françoise
5
1994
A continuous and rational solution to Hilbert’s 17th problem and several cases of the Positivstellensatz. Zbl 0804.14001
Delzell, C. N.; González-Vega, Laureano; Lombardi, H.
10
1993
A real Nullstellensatz and Positivstellensatz for the semipolynomials over an ordered field. Zbl 0826.12004
González-Vega, Laureano; Lombardi, Henri
3
1993
On algorithms for real algebraic plane curves. Zbl 0737.14017
Cucker, Felipe; González-Vega, Laureano; Rossello, Francesc
11
1991
Une théorie des sous-résultants pour les polynômes en plusieurs variables. (A subresultant theory for multivariate polynomials). Zbl 0776.13011
González-Vega, Laureano
7
1991
Determinantal formulae for the solution set of zero-dimensional ideals. Zbl 0743.13016
González-Vega, Laureano
6
1991
A subresultant theory for multivariate polynomials. Zbl 0921.13017
González Vega, Laureano
4
1991
Working with real algebraic plane curves in REDUCE: the GCUR package. Zbl 1042.14506
González Vega, Laureano
1
1991
Spécialisation de la suite de Sturm et sous-résultants. I. (Specialization of the Sturm sequence and subresultants. I). Zbl 0732.68059
González-Vega, L.; Lombardi, H.; Recio, T.; Roy, M.-F.
24
1990
A subresultant theory of multivariate polynomials. Zbl 0759.13011
González-Vega, Laureano
3
1990
all top 5

Cited by 418 Authors

32 Gonzalez-Vega, Laureano
21 Díaz-Toca, Gema María
15 Lombardi, Henri
12 Alcazar, Juan Gerardo
11 Pérez-Díaz, Sonia
10 Corless, Robert Malcolm
10 Roy, Marie-Françoise
10 Sendra, Juan Rafael
9 Mourrain, Bernard
9 Simos, Theodore E.
8 Szántó, Ágnes
7 Caravantes, Jorge
7 D’Andrea, Carlos
7 El Kahoui, M’hammed
7 Hong, Hoon
7 Jüttler, Bert
7 Rouillier, Fabrice
7 Sagraloff, Michael
7 Shen, Liyong
7 Tsigaridas, Elias P.
6 Anai, Hirokazu
6 Anastassi, Zacharias A.
6 Cheng, Jinsan
6 Emiris, Ioannis Z.
6 Lávička, Miroslav
6 Minimair, Manfred
6 Pouget, Marc
6 Vršek, Jan
5 Busé, Laurent
5 Chan, Eunice Y. S.
5 Krick, Teresa
5 Lazard, Sylvain
5 Schicho, Josef
5 Vlachos, Dimitrios
5 Zeng, Guangxing
4 Arnold, Barry Charles
4 Christou, Dimitrios
4 Farouki, Rida T.
4 Fioravanti, Mario A.
4 Goldman, Ronald N.
4 Hass, Joel
4 Heintz, Joos
4 Jia, Xiaohong
4 Jin, Kai
4 Mitrouli, Marilena
4 Necula, Ioana
4 Šír, Zbyněk
4 Xia, Bican
3 Blasco, Ángel
3 Boussaada, Islam
3 Brozos-Vázquez, Miguel
3 Chen, Falai
3 Diatta, Daouda Niang
3 Duval, Dominique
3 Galligo, André
3 Jeffrey, David J.
3 Jeronimo, Gabriela
3 Kanno, Masaaki
3 Karcanias, Nicos
3 Kerber, Michael
3 Konguetsof, Avrilia
3 Lưu Bá Thắng
3 Montes, Antonio
3 Moroz, Guillaume
3 Niculescu, Silviu-Iulian
3 Pereira-Sáez, María José
3 Perrucci, Daniel
3 Sarabia, José María
3 Schost, Éric
3 Schuster, Peter Michael
3 Sederberg, Thomas W.
3 Shakoori, Azar
3 Shi, Xiaoran
3 Souto Salorio, María José
3 Tarrío, Ana
3 Tsai, Ya-Lun
3 Xiao, ShuiJing
3 Yang, Lu
3 Yokoyama, Kazuhiro
3 Yuan, Chunming
3 Zheng, Jianmin
2 Abdeljaoued, Jounaïdi
2 Ahn, Young Joon
2 Alberti, Lionel F.
2 Asadi, Mohammadali
2 Berberich, Eric
2 Blažková, Eva
2 Bouzidi, Yacine
2 Brandt, Alexander
2 Briand, Emmanuel
2 Castillo, Enrique F.
2 Coste, Michel
2 Cox, David A.
2 Dospra, Petroula
2 Dutertre, Nicolas
2 Fortuna, Elisabetta
2 Gianni, Patrizia M.
2 Giusti, Marc
2 Gutierrez, Jaime
2 Han, Chang Yong
...and 318 more Authors
all top 5

Cited in 82 Serials

84 Journal of Symbolic Computation
48 Computer Aided Geometric Design
16 Journal of Computational and Applied Mathematics
14 Journal of Pure and Applied Algebra
10 Linear Algebra and its Applications
10 Applicable Algebra in Engineering, Communication and Computing
10 Journal of Mathematical Chemistry
9 Journal of Complexity
8 Journal of Algebra
8 Theoretical Computer Science
7 Applied Mathematics and Computation
6 Journal of Systems Science and Complexity
5 Computers & Mathematics with Applications
5 Mathematics in Computer Science
4 Mathematics and Computers in Simulation
4 Acta Applicandae Mathematicae
4 Computational Geometry
4 Numerical Algorithms
3 Journal of Computational Physics
3 Mathematics of Computation
3 Annals of Pure and Applied Logic
3 International Journal of Computational Geometry & Applications
3 International Journal of Computer Mathematics
2 American Mathematical Monthly
2 Linear and Multilinear Algebra
2 RAIRO. Informatique Théorique et Applications
2 Experimental Mathematics
2 Journal of Mathematical Sciences (New York)
2 Mathematical Problems in Engineering
1 Acta Mechanica
1 Communications in Mathematical Physics
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of Fluid Mechanics
1 Journal of Mathematical Analysis and Applications
1 Mathematical Methods in the Applied Sciences
1 Metrika
1 Acta Mathematica Vietnamica
1 Bulletin de la Société Mathématique de France
1 Journal of Approximation Theory
1 Journal of Computer and System Sciences
1 Journal of Differential Equations
1 Journal of Multivariate Analysis
1 Journal of Statistical Planning and Inference
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Numerische Mathematik
1 Proceedings of the American Mathematical Society
1 Programming and Computer Software
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Statistics & Probability Letters
1 Applied Numerical Mathematics
1 Discrete & Computational Geometry
1 Extracta Mathematicae
1 Applied Mathematics Letters
1 Japan Journal of Industrial and Applied Mathematics
1 International Journal of Algebra and Computation
1 The Journal of Geometric Analysis
1 Journal of Global Optimization
1 Communications in Statistics. Theory and Methods
1 Expositiones Mathematicae
1 Indagationes Mathematicae. New Series
1 Journal of Algebraic Combinatorics
1 SIAM Journal on Scientific Computing
1 ETNA. Electronic Transactions on Numerical Analysis
1 Advances in Computational Mathematics
1 The Bulletin of Symbolic Logic
1 Annals of Mathematics and Artificial Intelligence
1 Discrete and Continuous Dynamical Systems
1 The Journal of Fourier Analysis and Applications
1 Science in China. Series E
1 ELA. The Electronic Journal of Linear Algebra
1 Journal for Geometry and Graphics
1 Communications in Nonlinear Science and Numerical Simulation
1 La Gaceta de la Real Sociedad Matemática Española
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Central European Journal of Mathematics
1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
1 Journal of Zhejiang University. Science A
1 Science China. Mathematics
1 Special Matrices
1 Open Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
all top 5

Cited in 41 Fields

160 Numerical analysis (65-XX)
146 Computer science (68-XX)
111 Algebraic geometry (14-XX)
89 Commutative algebra (13-XX)
59 Field theory and polynomials (12-XX)
28 Linear and multilinear algebra; matrix theory (15-XX)
20 Number theory (11-XX)
16 Mathematical logic and foundations (03-XX)
12 Approximations and expansions (41-XX)
11 Real functions (26-XX)
10 Ordinary differential equations (34-XX)
10 Geometry (51-XX)
10 Quantum theory (81-XX)
8 Differential geometry (53-XX)
6 Functions of a complex variable (30-XX)
6 Mechanics of particles and systems (70-XX)
6 Systems theory; control (93-XX)
5 Combinatorics (05-XX)
5 Statistics (62-XX)
5 Operations research, mathematical programming (90-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Fluid mechanics (76-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Mechanics of deformable solids (74-XX)
2 Category theory; homological algebra (18-XX)
2 Special functions (33-XX)
2 Partial differential equations (35-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Biology and other natural sciences (92-XX)
2 Information and communication theory, circuits (94-XX)
1 Associative rings and algebras (16-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)
1 Optics, electromagnetic theory (78-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year