Pardo, Luis M.; Sebastián, Daniel A promenade through correct test sequences. I: Degree of constructible sets, Bézout’s inequality and density. (English) Zbl 1482.68280 J. Complexity 68, Article ID 101588, 92 p. (2022). Reviewer: Amir Hashemi (Isfahan) MSC: 68W30 12E05 13F20 13P15 14Q20 68Q25 68W20 68W40 PDFBibTeX XMLCite \textit{L. M. Pardo} and \textit{D. Sebastián}, J. Complexity 68, Article ID 101588, 92 p. (2022; Zbl 1482.68280) Full Text: DOI arXiv
Pardo, Luis M.; Pardo, Mario On the zeta Mahler measure function of the Jacobian determinant, condition numbers and the height of the generic discriminant. (English) Zbl 1356.14056 Appl. Algebra Eng. Commun. Comput. 27, No. 4, 303-358 (2016). Reviewer: Carlos D’Andrea (Barcelona) MSC: 14Q20 11M06 14Q10 PDFBibTeX XMLCite \textit{L. M. Pardo} and \textit{M. Pardo}, Appl. Algebra Eng. Commun. Comput. 27, No. 4, 303--358 (2016; Zbl 1356.14056) Full Text: DOI
Bank, Bernd; Heintz, Joos; Matera, Guillermo; Montaña, José Luis; Pardo, Luis M.; Rojas Paredes, Andrés Quiz games as a model for information hiding. (English) Zbl 1352.68084 J. Complexity 34, 1-29 (2016). MSC: 68Q05 68Q17 91A80 PDFBibTeX XMLCite \textit{B. Bank} et al., J. Complexity 34, 1--29 (2016; Zbl 1352.68084) Full Text: DOI arXiv
Fernández, Mario; Pardo, Luis M. An arithmetic Poisson formula for the multi-variate resultant. (English) Zbl 1286.60019 J. Complexity 29, No. 5, 323-350 (2013). MSC: 60E99 13P15 60D05 PDFBibTeX XMLCite \textit{M. Fernández} and \textit{L. M. Pardo}, J. Complexity 29, No. 5, 323--350 (2013; Zbl 1286.60019) Full Text: DOI
Bank, Bernd; Giusti, Marc; Heintz, Joos; Lehmann, Lutz; Pardo, Luis Miguel Algorithms of intrinsic complexity for point searching in compact real singular hypersurfaces. (English) Zbl 1246.14071 Found. Comput. Math. 12, No. 1, 75-122 (2012). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 14P05 14B05 14B07 68W30 PDFBibTeX XMLCite \textit{B. Bank} et al., Found. Comput. Math. 12, No. 1, 75--122 (2012; Zbl 1246.14071) Full Text: DOI
Berthomieu, Jérémy; Pardo, Luis Miguel Spherical Radon transform and the average of the condition number on certain Schubert subvarieties of a Grassmannian. (English) Zbl 1248.65046 J. Complexity 28, No. 3, 388-421 (2012). Reviewer: Alexander N. Tynda (Penza) MSC: 65H04 65R10 44A12 53C65 65Y20 65H10 65E05 30C15 30E10 PDFBibTeX XMLCite \textit{J. Berthomieu} and \textit{L. M. Pardo}, J. Complexity 28, No. 3, 388--421 (2012; Zbl 1248.65046) Full Text: DOI
Beltrán, Carlos; Pardo, Luis Miguel Fast linear homotopy to find approximate zeros of polynomial systems. (English) Zbl 1232.65075 Found. Comput. Math. 11, No. 1, 95-129 (2011). Reviewer: Przemyslaw Stpiczynski (Lublin) MSC: 65H10 65H04 65H20 12Y05 13P15 65Y20 PDFBibTeX XMLCite \textit{C. Beltrán} and \textit{L. M. Pardo}, Found. Comput. Math. 11, No. 1, 95--129 (2011; Zbl 1232.65075) Full Text: DOI
Beltrán, Carlos; Pardo, Luis Miguel Smale’s 17th problem: average polynomial time to compute affine and projective solutions. (English) Zbl 1206.90173 J. Am. Math. Soc. 22, No. 2, 363-385 (2009). MSC: 90C30 65H20 14Q20 12Y05 PDFBibTeX XMLCite \textit{C. Beltrán} and \textit{L. M. Pardo}, J. Am. Math. Soc. 22, No. 2, 363--385 (2009; Zbl 1206.90173) Full Text: DOI
Bank, Bernd; Giusti, Marc; Heintz, Joos; Pardo, Luis Miguel On the intrinsic complexity of point finding in real singular hypersurfaces. (English) Zbl 1206.68136 Inf. Process. Lett. 109, No. 19, 1141-1144 (2009). MSC: 68Q17 PDFBibTeX XMLCite \textit{B. Bank} et al., Inf. Process. Lett. 109, No. 19, 1141--1144 (2009; Zbl 1206.68136) Full Text: DOI Link
Beltrán, Carlos; Pardo, Luis Miguel On the probability distribution of singular varieties of given corank. (English) Zbl 1149.11038 J. Symb. Comput. 42, No. 1-2, 4-29 (2007). MSC: 11K36 PDFBibTeX XMLCite \textit{C. Beltrán} and \textit{L. M. Pardo}, J. Symb. Comput. 42, No. 1--2, 4--29 (2007; Zbl 1149.11038) Full Text: DOI
Beltrán, C.; Pardo, L. M. On the probability distribution of condition numbers of complete intersection varieties and the average radius of convergence of Newton’s method in the underdetermined case. (English) Zbl 1123.65041 Math. Comput. 76, No. 259, 1393-1424 (2007). Reviewer: Otu Vaarmann (Tallinn) MSC: 65H10 65G50 PDFBibTeX XMLCite \textit{C. Beltrán} and \textit{L. M. Pardo}, Math. Comput. 76, No. 259, 1393--1424 (2007; Zbl 1123.65041) Full Text: DOI
Bank, B.; Giusti, M.; Heintz, J.; Pardo, Luis M. Generalized polar varieties: geometry and algorithms. (English) Zbl 1085.14047 J. Complexity 21, No. 4, 377-412 (2005). MSC: 14P05 14B05 14Q99 68Q25 68W30 PDFBibTeX XMLCite \textit{B. Bank} et al., J. Complexity 21, No. 4, 377--412 (2005; Zbl 1085.14047) Full Text: DOI
Beltrán, Carlos; Pardo, Luis Miguel Upper bounds on the distribution of the condition number of singular matrices. (English. Abridged French version) Zbl 1073.65040 C. R., Math., Acad. Sci. Paris 340, No. 12, 915-919 (2005). MSC: 65F35 15A12 PDFBibTeX XMLCite \textit{C. Beltrán} and \textit{L. M. Pardo}, C. R., Math., Acad. Sci. Paris 340, No. 12, 915--919 (2005; Zbl 1073.65040) Full Text: DOI
Bank, Bernd; Giusti, Marc; Heintz, Joos; Pardo, Luis M. Generalized polar varieties and an efficient real elimination. (English) Zbl 1249.14019 Kybernetika 40, No. 5, 519-550 (2004). MSC: 14P05 14B05 68W30 68Q25 PDFBibTeX XMLCite \textit{B. Bank} et al., Kybernetika 40, No. 5, 519--550 (2004; Zbl 1249.14019) Full Text: EuDML Link
Pardo, Luis Miguel; San Martín, Jorge Deformation techniques to solve generalised Pham systems. (English) Zbl 1053.65038 Theor. Comput. Sci. 315, No. 2-3, 593-625 (2004). MSC: 65H10 65H20 65Y20 PDFBibTeX XMLCite \textit{L. M. Pardo} and \textit{J. San Martín}, Theor. Comput. Sci. 315, No. 2--3, 593--625 (2004; Zbl 1053.65038) Full Text: DOI
Castro, D.; Pardo, Luis M.; San Martín, J. Systems of rational polynomial equations have polynomial size approximate zeros on the average. (English) Zbl 1018.14020 J. Complexity 19, No. 2, 161-209 (2003). Reviewer: A.Diaz-Cano (Madrid) MSC: 14P10 12Y05 14Q15 65H10 PDFBibTeX XMLCite \textit{D. Castro} et al., J. Complexity 19, No. 2, 161--209 (2003; Zbl 1018.14020) Full Text: DOI