Catoiu, S.; Fejzić, H. A generalization of the GGR conjecture. (English) Zbl 07748559 Proc. Am. Math. Soc. 151, No. 12, 5205-5221 (2023). MSC: 26A24 13F20 26A27 47B39 PDFBibTeX XMLCite \textit{S. Catoiu} and \textit{H. Fejzić}, Proc. Am. Math. Soc. 151, No. 12, 5205--5221 (2023; Zbl 07748559) Full Text: DOI arXiv
Ash, J. Marshall; Catoiu, Stefan; Fejzić, Hajrudin A new proof of the GGR conjecture. (English) Zbl 1512.26004 C. R., Math., Acad. Sci. Paris 361, 349-353 (2023). Reviewer: Thomas Riedel (Louisville) MSC: 26A24 13F20 15A03 26A27 PDFBibTeX XMLCite \textit{J. M. Ash} et al., C. R., Math., Acad. Sci. Paris 361, 349--353 (2023; Zbl 1512.26004) Full Text: DOI arXiv
O’Desky, Andrew Functions with integer-valued divided differences. (English) Zbl 1495.13031 J. Number Theory 234, 179-199 (2022). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 13F20 11B83 11C08 11N37 26E30 PDFBibTeX XMLCite \textit{A. O'Desky}, J. Number Theory 234, 179--199 (2022; Zbl 1495.13031) Full Text: DOI arXiv
Kazaryan, G. G.; Karapetyants, A. N.; Margaryan, V. N.; Mkrtchyan, G. A.; Sergeev, A. G. New classes of function spaces and singular operators. (English. Russian original) Zbl 1507.47103 Trans. Mosc. Math. Soc. 2021, 273-288 (2021); translation from Tr. Mosk. Mat. O.-va 82, No. 2, 329-348 (2021). MSC: 47G10 26C05 47B10 47-03 01A72 PDFBibTeX XMLCite \textit{G. G. Kazaryan} et al., Trans. Mosc. Math. Soc. 2021, 273--288 (2021; Zbl 1507.47103); translation from Tr. Mosk. Mat. O.-va 82, No. 2, 329--348 (2021) Full Text: DOI
Brooks, Jennifer; Palencia, Kevin A rank question for homogeneous polynomials. (English) Zbl 1467.14137 Proc. Am. Math. Soc. 149, No. 9, 3627-3637 (2021). MSC: 14P10 13A02 32H35 13F20 26C05 13J30 PDFBibTeX XMLCite \textit{J. Brooks} and \textit{K. Palencia}, Proc. Am. Math. Soc. 149, No. 9, 3627--3637 (2021; Zbl 1467.14137) Full Text: DOI
Fefferman, Charles; Luli, Garving K. Solutions to a system of equations for \(C^m\) functions. (English) Zbl 1482.14059 Rev. Mat. Iberoam. 37, No. 3, 911-963 (2021). MSC: 14P10 65H10 65H04 13E15 26B05 13P10 PDFBibTeX XMLCite \textit{C. Fefferman} and \textit{G. K. Luli}, Rev. Mat. Iberoam. 37, No. 3, 911--963 (2021; Zbl 1482.14059) Full Text: DOI arXiv
Klep, Igor; Volčič, Jurij Free loci of matrix pencils and domains of noncommutative rational functions. (English) Zbl 1365.15017 Comment. Math. Helv. 92, No. 1, 105-130 (2017). Reviewer: Rabe von Randow (Bonn) MSC: 15A22 14P05 16R30 26C15 16K40 16N40 PDFBibTeX XMLCite \textit{I. Klep} and \textit{J. Volčič}, Comment. Math. Helv. 92, No. 1, 105--130 (2017; Zbl 1365.15017) Full Text: DOI arXiv
Hayssam, Ezzaldine Overdetermined strata for degree 6 hyperbolic polynomials. (English) Zbl 1488.12001 Serdica Math. J. 42, No. 3-4, 311-324 (2016). MSC: 12D10 14P05 26C10 13P15 13P10 PDFBibTeX XMLCite \textit{E. Hayssam}, Serdica Math. J. 42, No. 3--4, 311--324 (2016; Zbl 1488.12001)
Biernat, Grzegorz; Ciekot, Anita The non-Keller mapping with one zero at infinity. (English) Zbl 07328043 J. Appl. Math. Comput. Mech. 15, No. 4, 5-10 (2016). MSC: 26B10 47L22 PDFBibTeX XMLCite \textit{G. Biernat} and \textit{A. Ciekot}, J. Appl. Math. Comput. Mech. 15, No. 4, 5--10 (2016; Zbl 07328043) Full Text: DOI
Yakubovich, S. On some properties of the Abel-Goncharov polynomials and the Casas-Alvero problem. (English) Zbl 1350.41007 Integral Transforms Spec. Funct. 27, No. 8, 599-610 (2016). Reviewer: Devendra Kumar (Al-Baha) MSC: 41A05 26C05 12D10 13F20 PDFBibTeX XMLCite \textit{S. Yakubovich}, Integral Transforms Spec. Funct. 27, No. 8, 599--610 (2016; Zbl 1350.41007) Full Text: DOI
Yakubovich, Semyon Towards the Casas- Alvero conjecture. arXiv:1504.00274 Preprint, arXiv:1504.00274 [math.CA] (2015). MSC: 26C05 12D10 41A05 13F20 BibTeX Cite \textit{S. Yakubovich}, ``Towards the Casas- Alvero conjecture'', Preprint, arXiv:1504.00274 [math.CA] (2015) Full Text: arXiv OA License
Yakubovich, S. Polynomial problems of the Casas-Alvero type. (English) Zbl 1412.26029 J. Class. Anal. 4, No. 2, 97-120 (2014). MSC: 26C05 12D10 41A05 13F20 PDFBibTeX XMLCite \textit{S. Yakubovich}, J. Class. Anal. 4, No. 2, 97--120 (2014; Zbl 1412.26029) Full Text: DOI arXiv
Popa, Dumitru; Sinnamon, Gord Blei’s inequality and coordinatewise multiple summing operators. (English) Zbl 1286.26017 Publ. Mat., Barc. 57, No. 2, 455-475 (2013). MSC: 26D15 47B10 47H60 PDFBibTeX XMLCite \textit{D. Popa} and \textit{G. Sinnamon}, Publ. Mat., Barc. 57, No. 2, 455--475 (2013; Zbl 1286.26017) Full Text: DOI Euclid
Khashan, Hani; Syam, Muhammed I. QR-algebraic method for approximating zeros of system of polynomials. (English) Zbl 1211.65058 Int. J. Comput. Math. 88, No. 1, 110-120 (2011). MSC: 65H10 65H04 12D10 13P10 26C10 65F30 74G15 97N30 PDFBibTeX XMLCite \textit{H. Khashan} and \textit{M. I. Syam}, Int. J. Comput. Math. 88, No. 1, 110--120 (2011; Zbl 1211.65058) Full Text: DOI
Prasolov, Victor V. Polynomials. Translated from the second Russian edition 2001 by Dimitry Leites. 2nd printing. (English) Zbl 1272.12001 Algorithms and Computation in Mathematics 11. Berlin: Springer (ISBN 978-3-642-03979-9/pbk; 978-3-642-03980-5/ebook). xiii, 301 p. (2010). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 12-01 12D05 12D10 12D15 12E05 12F10 13B25 13F20 13P10 26C05 30C15 11C08 11B68 PDFBibTeX XMLCite \textit{V. V. Prasolov}, Polynomials. Translated from the second Russian edition 2001 by Dimitry Leites. 2nd printing. Berlin: Springer (2010; Zbl 1272.12001) Full Text: DOI
Sun, Yang; Tao, Yu-Hui; Bai, Feng-Shan Incomplete Gröbner basis as a preconditioner for polynomial systems. (English) Zbl 1165.65026 J. Comput. Appl. Math. 226, No. 1, 2-9 (2009). Reviewer: Alyson Reeves (Bowie) MSC: 65H10 65H20 13P10 26C10 PDFBibTeX XMLCite \textit{Y. Sun} et al., J. Comput. Appl. Math. 226, No. 1, 2--9 (2009; Zbl 1165.65026) Full Text: DOI
Ferguson, Le Baron O. What can be approximated by polynomials with integer coefficients. (English) Zbl 1165.41003 Am. Math. Mon. 113, No. 5, 403-414 (2006). MSC: 41A05 26C05 11C08 13F20 PDFBibTeX XMLCite \textit{L. B. O. Ferguson}, Am. Math. Mon. 113, No. 5, 403--414 (2006; Zbl 1165.41003) Full Text: DOI
Sommese, Andrew J.; Wampler, Charles W. II The numerical solution of systems of polynomials. Arising in engineering and science. (English) Zbl 1091.65049 River Edge, NJ: World Scientific (ISBN 981-256-184-6/hbk; 978-981-256-772-7/ebook). xxii, 401 p. (2005). Reviewer: Zhen Mei (Toronto) MSC: 65H10 12Y05 26C10 30C15 14Q15 13P10 65H20 65-02 PDFBibTeX XMLCite \textit{A. J. Sommese} and \textit{C. W. Wampler II}, The numerical solution of systems of polynomials. Arising in engineering and science. River Edge, NJ: World Scientific (2005; Zbl 1091.65049) Full Text: DOI Link
Prasolov, Victor V. Polynomials. Translated from the second Russian edition by Dimitry Leites. (English) Zbl 1063.12001 Algorithms and Computation in Mathematics 11. Berlin: Springer (ISBN 3-540-40714-6/hbk). xiv, 301 p. (2004). Reviewer: Doru Ştefănescu (Bucureşti) MSC: 12-01 12D05 12D10 12E05 12F10 13B25 13F20 26C05 30C15 11C08 11B68 PDFBibTeX XMLCite \textit{V. V. Prasolov}, Polynomials. Translated from the second Russian edition by Dimitry Leites. Berlin: Springer (2004; Zbl 1063.12001)
Einsiedler, Manfred; Mouat, Robert; Tuncel, Selim When does a submodule of \((\mathbb{R}[x_1,\dots,x_k])^n\) contain a positive element? (English) Zbl 1093.13511 Monatsh. Math. 140, No. 4, 267-283 (2003). MSC: 13P10 26C05 13F20 13-04 PDFBibTeX XMLCite \textit{M. Einsiedler} et al., Monatsh. Math. 140, No. 4, 267--283 (2003; Zbl 1093.13511) Full Text: DOI
Sauer, Tomas How to generate smoother refinable functions from given ones. (English) Zbl 1049.42029 Haussmann, Werner (ed.) et al., Modern developments in multivariate approximation. Proceedings of the 5th international conference, Witten-Bommerholz, Germany, September 22–27, 2002. Basel: Birkhäuser (ISBN 3-7643-2195-4/hbk). ISNM, Int. Ser. Numer. Math. 145, 279-293 (2003). Reviewer: Gerlind Plonka (Duisburg) MSC: 42C40 26B05 42B10 PDFBibTeX XMLCite \textit{T. Sauer}, ISNM, Int. Ser. Numer. Math. 145, 279--293 (2003; Zbl 1049.42029)
Gaukel, Joachim Efficient solutions of polynomial and nonpolynomial systems of equations using subdivision algorithms. (Effiziente Lösung polynomialer und nichtpolynomialer Gleichungssysteme mit Hilfe von Subndivisionsalgorithmen.) (German) Zbl 1023.65044 Darmstadt: Univ. Darmstadt, Fachbereich Mathematik, 129 S. (2003). MSC: 65H10 12Y05 30C15 26C10 13P10 PDFBibTeX XMLCite \textit{J. Gaukel}, Effiziente Lösung polynomialer und nichtpolynomialer Gleichungssysteme mit Hilfe von Subndivisionsalgorithmen. Darmstadt: Univ. Darmstadt, Fachbereich Mathematik (2003; Zbl 1023.65044)
Emiris, Ioannis Z. Discrete geometry for algebraic elimination. (English) Zbl 1027.65065 Joswig, Michael (ed.) et al., Algebra, geometry, and software systems. Berlin: Springer. 77-91 (2003). Reviewer: Corina Mohorianu (Iaşi) MSC: 65H10 12Y05 65Y15 26C10 30C15 13P10 PDFBibTeX XMLCite \textit{I. Z. Emiris}, in: Algebra, geometry, and software systems. Berlin: Springer. 77--91 (2003; Zbl 1027.65065)
Lazard, D. On the specification for solvers of polynomial systems. (English) Zbl 1009.65028 Shirayanagi, Kiyoshi (ed.) et al., Computer mathematics. Proceedings of the 5th Asian symposium (ASCM 2001), Matsuyama, Japan, September 26-28, 2001. Singapore: World Scientific. Lect. Notes Ser. Comput. 9, 66-75 (2001). MSC: 65H10 12Y05 13P10 26C10 PDFBibTeX XMLCite \textit{D. Lazard}, Lect. Notes Ser. Comput. 9, 66--75 (2001; Zbl 1009.65028)
Corless, Robert M. Symbolic-numerical algorithms for polynomials: Some recent results. (English) Zbl 0985.65051 Alefeld, Götz (ed.) et al., Symbolic algebraic methods and verification methods. Wien: Springer. 21-33 (2001). Reviewer: Willi Schönauer (Karlsruhe) MSC: 65H10 12Y05 26C10 30C15 13P10 PDFBibTeX XMLCite \textit{R. M. Corless}, in: Symbolic algebraic methods and verification methods. Wien: Springer. 21--33 (2001; Zbl 0985.65051)
Möller, H. Michael; Sauer, Thomas H-bases for polynomial interpolation and system solving. (English) Zbl 0943.65059 Adv. Comput. Math. 12, No. 4, 335-362 (2000). Reviewer: Mariana Gaşpar (Iaşi) MSC: 65H10 13P10 12Y05 30C15 26C10 PDFBibTeX XMLCite \textit{H. M. Möller} and \textit{T. Sauer}, Adv. Comput. Math. 12, No. 4, 335--362 (2000; Zbl 0943.65059) Full Text: DOI
Chamberland, Marc; Meisters, Gary A mountain pass to the Jacobian conjecture. (English) Zbl 0947.14030 Can. Math. Bull. 41, No. 4, 442-451 (1998). Reviewer: G.Pfister (Kaiserslautern) MSC: 14R15 13F20 14E07 58E05 26B10 PDFBibTeX XMLCite \textit{M. Chamberland} and \textit{G. Meisters}, Can. Math. Bull. 41, No. 4, 442--451 (1998; Zbl 0947.14030) Full Text: DOI
Manocha, Dinesh Numerical methods for solving polynomial equations. (English) Zbl 0912.65044 Cox, David A. (ed.) et al., Applications of computational algebraic geometry. American Mathematical Society short course, San Diego, CA, USA, January 6–7, 1997. Providence, RI: American Mathematical Society. Proc. Symp. Appl. Math. 53, 41-66 (1998). Reviewer: W.B.Müller (Klagenfurt) MSC: 65H10 14Q99 12Y05 26C10 30C15 65H20 68W30 13P10 PDFBibTeX XMLCite \textit{D. Manocha}, Proc. Symp. Appl. Math. 53, 41--66 (1998; Zbl 0912.65044)
Dell’Accio, F. A counterexample to a conjecture related to the Jacobian problem. (English. Russian original) Zbl 0868.58012 Math. Notes 58, No. 3, 989-992 (1995); translation from Mat. Zametki 58, No. 3, 452-455 (1995). Reviewer: T.Krasiński (Łódź) MSC: 58C25 26B10 13F20 PDFBibTeX XMLCite \textit{F. Dell'Accio}, Math. Notes 58, No. 3, 989--992 (1995; Zbl 0868.58012); translation from Mat. Zametki 58, No. 3, 452--455 (1995) Full Text: DOI
Möller, H. Michael; Stetter, Hans J. Multivariate polynomial equations with multiple zeros solved by matrix eigenproblems. (English) Zbl 0851.65029 Numer. Math. 70, No. 3, 311-329 (1995). Reviewer: W.Zulehner (Linz) MSC: 65H10 12Y05 26C10 13P10 12D10 30C15 65H17 PDFBibTeX XMLCite \textit{H. M. Möller} and \textit{H. J. Stetter}, Numer. Math. 70, No. 3, 311--329 (1995; Zbl 0851.65029) Full Text: DOI
Kapur, Deepak; Saxena, Tushar Comparison of various multivariate resultant formulations. (English) Zbl 0916.65048 Levelt, A. H. M. (ed.), Proceedings of the 1995 international symposium on symbolic and algebraic computation, ISSAC ’95, Montreal, Canada, July 10–12, 1995. New York, NY: ACM Press. 187-194 (1995). MSC: 65H10 68W30 12Y05 26C10 13P10 PDFBibTeX XMLCite \textit{D. Kapur} and \textit{T. Saxena}, in: Proceedings of the 1995 international symposium on symbolic and algebraic computation, ISSAC '95, Montreal, Canada, July 10--12, 1995. New York, NY: ACM Press. 187--194 (1995; Zbl 0916.65048)
Gusev, Yu. M.; Efanov, V. N.; Krymskij, V. G. On the use of symmetrized sets for constructing an order mapping of matrices of transition functions of multiply connected systems. (English. Russian original) Zbl 0484.93030 Sov. Phys., Dokl. 26, 7-8 (1981); translation from Dokl. Akad. Nauk SSSR 256, 299-302 (1981). MSC: 93B99 93A15 26C15 13F20 PDFBibTeX XMLCite \textit{Yu. M. Gusev} et al., Sov. Phys., Dokl. 26, 7--8 (1981; Zbl 0484.93030); translation from Dokl. Akad. Nauk SSSR 256, 299--302 (1981)
Bochnak, Jacek Sur la factorialite des anneaux de fonctions de Nash. (French) Zbl 0369.14003 Comment. Math. Helv. 52, 211-218 (1977). MSC: 14C20 26E05 13F20 PDFBibTeX XMLCite \textit{J. Bochnak}, Comment. Math. Helv. 52, 211--218 (1977; Zbl 0369.14003) Full Text: DOI EuDML
Lesieur, Leonce; Meyer, Yves; Joulain, Claude; Lefebvre, Jean Algèbre générale. Mathématiques supérieures, 1er cycle, 1re annee. (French) Zbl 0371.13001 Serie ”Mathematiques”. Paris: Librairie Armand Colin. VIII, 243 p. F 65.00 (1975). MSC: 13-01 12-01 26C15 12D05 13F20 PDFBibTeX XML