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## Uteshev, Alexei Yu.

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 Author ID: uteshev.alexei-yu Published as: Uteshev, A. Yu.; Uteshev, Alexei; Uteshev, Alexei Yu. External Links: ORCID
 Documents Indexed: 24 Publications since 1987
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#### Co-Authors

 7 single-authored 8 Goncharova, Marina V. 3 Cherkasov, Timofei M. 3 Shulyak, Sergei G. 1 Bikker, P. 1 Kalinina, Elizabeth A. 1 Kalinina, Elizaveta 1 Smol’kin, Yuri
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#### Serials

 3 Differentsial’nye Uravneniya 3 Journal of Symbolic Computation 3 Doklady Mathematics 2 Linear Algebra and its Applications 1 American Mathematical Monthly 1 Differential Equations 1 Journal of Computational and Applied Mathematics 1 Vestnik Leningradskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya 1 Vestnik Leningrad University. Mathematics
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#### Fields

 7 Ordinary differential equations (34-XX) 7 Numerical analysis (65-XX) 5 Computer science (68-XX) 4 Geometry (51-XX) 3 Commutative algebra (13-XX) 3 Operations research, mathematical programming (90-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 1 Number theory (11-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

13 Publications have been cited 45 times in 37 Documents Cited by Year
The search for the maximum of a polynomial. Zbl 0915.65062
Uteshev, Alexei Yu.; Cherkasov, Timofei M.
1998
Analytical solution for the generalized Fermat-Torricelli problem. Zbl 1305.51018
Uteshev, Alexei Yu.
2014
On the Bézout construction of the resultant. Zbl 0947.13015
Bikker, P.; Uteshev, A. Yu.
1999
Hermite’s method of separation of solutions of systems of algebraic equations and its applications. Zbl 0769.65023
Uteshev, Alexei Yu.; Shulyak, Sergei G.
1992
Distance computation from an ellipsoid to a linear or a quadric surface in $$\mathbb R^{n }$$. Zbl 1141.68715
Uteshev, Alexei Yu.; Yashina, Marina V.
2007
Computation of the distance from an ellipsoid to a linear surface and a quadric in $$\mathbb R^n$$. Zbl 1152.53005
Uteshev, A. Yu.; Yashina, M. V.
2008
On Maxwell’s conjecture for Coulomb potential generated by point charges. Zbl 1342.78014
Uteshev, Alexei Yu.; Yashina, Marina V.
2016
Metric problems for quadrics in multidimensional space. Zbl 1302.68334
Uteshev, Alexei Yu.; Yashina, Marina V.
2015
Stationary points for the family of Fermat-Torricelli-Coulomb-like potential functions. Zbl 1417.51021
Uteshev, Alexei Yu.; Yashina, Marina V.
2013
The localization of solutions to systems of algebraic equations and inequalities: the Hermite method. Zbl 0902.12002
Uteshev, A. Yu.; Cherkasov, T. M.
1996
Determination of the number of roots of a polynomial lying in a given algebraic domain. Zbl 0781.65041
Kalinina, Elizabeth A.; Uteshev, Alexei Yu.
1993
Calculation of the Kronecker-Poincaré index of algebraic curves with respect to algebraic fields on the plane. Zbl 0742.34006
Uteshev, A. Yu.
1991
A criterion for the positive definiteness of homogeneous forms. Zbl 0661.34054
Uteshev, A. Yu.
1988
On Maxwell’s conjecture for Coulomb potential generated by point charges. Zbl 1342.78014
Uteshev, Alexei Yu.; Yashina, Marina V.
2016
Metric problems for quadrics in multidimensional space. Zbl 1302.68334
Uteshev, Alexei Yu.; Yashina, Marina V.
2015
Analytical solution for the generalized Fermat-Torricelli problem. Zbl 1305.51018
Uteshev, Alexei Yu.
2014
Stationary points for the family of Fermat-Torricelli-Coulomb-like potential functions. Zbl 1417.51021
Uteshev, Alexei Yu.; Yashina, Marina V.
2013
Computation of the distance from an ellipsoid to a linear surface and a quadric in $$\mathbb R^n$$. Zbl 1152.53005
Uteshev, A. Yu.; Yashina, M. V.
2008
Distance computation from an ellipsoid to a linear or a quadric surface in $$\mathbb R^{n }$$. Zbl 1141.68715
Uteshev, Alexei Yu.; Yashina, Marina V.
2007
On the Bézout construction of the resultant. Zbl 0947.13015
Bikker, P.; Uteshev, A. Yu.
1999
The search for the maximum of a polynomial. Zbl 0915.65062
Uteshev, Alexei Yu.; Cherkasov, Timofei M.
1998
The localization of solutions to systems of algebraic equations and inequalities: the Hermite method. Zbl 0902.12002
Uteshev, A. Yu.; Cherkasov, T. M.
1996
Determination of the number of roots of a polynomial lying in a given algebraic domain. Zbl 0781.65041
Kalinina, Elizabeth A.; Uteshev, Alexei Yu.
1993
Hermite’s method of separation of solutions of systems of algebraic equations and its applications. Zbl 0769.65023
Uteshev, Alexei Yu.; Shulyak, Sergei G.
1992
Calculation of the Kronecker-Poincaré index of algebraic curves with respect to algebraic fields on the plane. Zbl 0742.34006
Uteshev, A. Yu.
1991
A criterion for the positive definiteness of homogeneous forms. Zbl 0661.34054
Uteshev, A. Yu.
1988
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#### Cited by 48 Authors

 6 Uteshev, Alexei Yu. 4 Xiao, ShuiJing 4 Zeng, Guangxing 3 Batkhin, Alexandr B. 3 Goncharova, Marina V. 3 Zachos, Anastasios N. 2 Starkov, Konstantin E. 2 Tamasyan, Grigoriĩ Shchalikovich 1 Abi-Khuzam, Faruk Fuad 1 Aleksandrov, Aleksandr Yur’evich 1 Aleksandrova, Elena 1 Angelov, Todor Angelov 1 Bikker, P. 1 Chionh, Eng-Wee 1 Chionh, Engwee 1 Chumakov, A. A. 1 Cox, Simon J. D. 1 D’Andrea, Carlos 1 Dobrovolska, Galyna 1 Dyllong, Eva 1 Eigenwillig, Arno 1 Finkelberg, Michael Vladlenovich 1 Foo, Mao-Ching 1 Grassia, Paul 1 Gustafsson, Bjorn 1 Hajja, Mowaffaq 1 Jeronimo, Gabriela 1 Kalinina, Elizabeth A. 1 Kanatnikov, Anatoly N. 1 Kettner, Lutz 1 Kiel, Stefan 1 Krishchenko, Alexander P. 1 Kuznetsov, Aleksandr Gennad’evich 1 Lücking, Thomas 1 Mukundan, T. R. 1 Panov, Petr Alekseevich 1 Prosolupov, E. V. 1 Ramazanova, Kh. M. 1 Romm, Ya. E. 1 Rosario, Ruben 1 Rybnikov, Leonid Grigor’evich 1 Schömer, Elmar 1 Shulyak, Sergei G. 1 Tkachev, Vladimir G. 1 Violet, Grey 1 Vitasari, Denny 1 von zur Gathen, Joachim 1 Wolpert, Nicola
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#### Cited in 27 Serials

 5 Journal of Symbolic Computation 2 Journal of Geometry 2 Automation and Remote Control 2 Linear Algebra and its Applications 2 Science China. Mathematics 2 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 1 Communications in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Mathematics Magazine 1 Computing 1 Journal of Computational and Applied Mathematics 1 Programming and Computer Software 1 Results in Mathematics 1 Theoretical Computer Science 1 Computational Mathematics and Modeling 1 Computational Geometry 1 Journal of Global Optimization 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Cybernetics and Systems Analysis 1 Journal of Convex Analysis 1 Selecta Mathematica. New Series 1 Nonlinear Dynamics 1 Differential Equations 1 Journal of Systems Science and Complexity 1 Chebyshevskiĭ Sbornik 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 19 Fields

 14 Computer science (68-XX) 7 Numerical analysis (65-XX) 6 Field theory and polynomials (12-XX) 6 Commutative algebra (13-XX) 5 Geometry (51-XX) 5 Operations research, mathematical programming (90-XX) 4 Algebraic geometry (14-XX) 4 Ordinary differential equations (34-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Systems theory; control (93-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Operator theory (47-XX) 1 Fluid mechanics (76-XX)