01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
28.12.1955
E-mail:
Keywords:
rational approximation of analytic functions,
Pade approximation,
inverse theorems,
general orthogonal polynomials.
Main publications:
S. P. Suetin, “Trace formulae for a class of Jacobi operators”, Sb. Math., 198:6 (2007), 857–885
S. P. Suetin, “Padé approximants and efficient analytic continuation of a power series”, Russian Math. Surveys, 57:1 (2002), 43–141
S. P. Suetin, “Approximation properties of the poles of diagonal Padé approximants for certain generalizations of Markov functions”, Sb. Math., 193:12 (2002), 1837–1866
S. P. Suetin, “Uniform convergence of Padé diagonal approximants for hyperelliptic functions”, Sb. Math., 191:9 (2000), 1339–1373
A. A. Gonchar, E. A. Rakhmanov, S. P. Suetin, “On the rate of convergence of Padé approximants of orthogonal expansions”, Progress in approximation theory (Tampa, FL, 1990), Springer Ser. Comput. Math., 19, Springer, New York, 1992, 169–190
S. P. Suetin, “On an inverse problem for the $m$th row of a Padé table”, Math. USSR-Sb., 52:1 (1985), 231–244
S. P. Suetin, “Maximum principle and asymptotic properties of Hermite–Padé polynomials”, Russian Math. Surveys, 79:3 (2024), 547–549
2.
N. R. Ikonomov, S. P. Suetin, “On Some Potential Problems Related to Asymptotics of Hermite–Padé Polynomials”, Mat. Sb., 215:8 (2024)
2023
3.
S. P. Suetin, “Some Algebraic Properties of Hermite–Padé Polynomials”, Math. Notes, 113:3 (2023), 441–445
4.
S. P. Suetin, “Convergence of Hermite–Padé rational approximations”, Russian Math. Surveys, 78:5 (2023), 967–969
5.
Egor O. Dobrolyubov, Nikolay R. Ikonomov, Leonid A. Knizhnerman, Sergey P. Suetin, Rational Hermite–Padé Approximants vs Padé Approximants. Numerical Results, 2023 , 53 pp., arXiv: 2306.07063
2022
6.
S. P. Suetin, N. R. Ikonomov, Tr. Mosk. Mat. Obs., 83, no. 1, 2022, 37–61
7.
S. P. Suetin, “A direct proof of Stahl's theorem for a generic class of algebraic functions”, Sb. Math., 213:11 (2022), 1582–1596
8.
S. P. Suetin, “Asymptotic properties of Hermite–Padé polynomials and Katz points”, Russian Math. Surveys, 77:6 (2022), 1149–1151
9.
E. A. Rakhmanov, S. P. Suetin, Tr. Mosk. Mat. Obs., 83, no. 2, MCCME, M., 2022, 319–344
2021
10.
N. R. Ikonomov, S. P. Suetin, “A Viskovatov algorithm for Hermite-Padé polynomials”, Sb. Math., 212:9 (2021), 1279–1303
11.
S. P. Suetin, “Interpolation properties of Hermite–Padé polynomials”, Russian Math. Surveys, 76:3 (2021), 543–545
12.
Evguenii A. Rakhmanov, Sergey P. Suetin, Tschebyshev–Padè approximations for multivalued functions, 2021 , 20 pp., arXiv: 2106.01047
13.
N. R. Ikonomov, S. P. Suetin, Structure of the Nuttall partition for some class of four-sheeted Riemann surfaces, 2021 , 25 pp., arXiv: 2103.04703
14.
S. P. Suetin, “Two Examples Related to Properties of Discrete Measures”, Math. Notes, 110:4 (2021), 578–582
15.
Sergey P. Suetin, A direct proof of Stahl`s theorem for a generic class of algebraic functions, 2021 , 8 pp., arXiv: 2108.00339
16.
Sergey P. Suetin, Maximum Principle and Asymptotic Properties of Hermite–Padè Polynomials, 2021 , 13 pp., arXiv: 2109.10144
2020
17.
N. R. Ikonomov, S. P. Suetin, “Scalar Equilibrium Problem and the Limit Distribution of Zeros of Hermite–Padé Polynomials of Type II”, Proc. Steklov Inst. Math., 309 (2020), 159–182
18.
S. P. Suetin, “Hermite–Padé polynomials and Shafer quadratic approximations for multivalued analytic functions”, Russian Math. Surveys, 75:4 (2020), 788–790
2019
19.
S. P. Suetin, “Existence of a three-sheeted Nutall surface for a certain class of infinite-valued analytic functions”, Russian Math. Surveys, 74:2 (2019), 363–365
20.
Sergey P. Suetin, On the equivalence of the scalar and vector equilibrium problems for a pair of functions forming a Nikishin system, 2019 , 17 pp., arXiv: 1906.04626
21.
S. P. Suetin, “Equivalence of a Scalar and a Vector Equilibrium Problem for a Pair of Functions Forming a Nikishin System”, Math. Notes, 106:6 (2019), 971–980
2018
22.
S. P. Suetin, “On a New Approach to the Problem of Distribution of Zeros of Hermite–Padé Polynomials for a Nikishin System”, Proc. Steklov Inst. Math., 301 (2018), 245–261
23.
S. P. Suetin, “Distribution of the zeros of Hermite–Padé polynomials for a complex Nikishin system”, Russian Math. Surveys, 73:2 (2018), 363–365
24.
Sergey P. Suetin, Hermite–Padé polynomials and analytic continuation: new approach and some results, 2018 , 45 pp., arXiv: 1806.08735
25.
S. P. Suetin, “On an Example of the Nikishin System”, Math. Notes, 104:6 (2018), 905–914
2017
26.
S. P. Suetin, “On the distribution of the zeros of the Hermite–Padé polynomials for a quadruple of functions”, Russian Math. Surveys, 72:2 (2017), 375–377
27.
S. P. Suetin, “An Analog of Pólya's Theorem for Multivalued Analytic Functions with Finitely Many Branch Points”, Math. Notes, 101:5 (2017), 888–898
28.
A. V. Komlov, R. V. Palvelev, S. P. Suetin, E. M. Chirka, “Hermite–Padé approximants for meromorphic functions on a compact Riemann surface”, Russian Math. Surveys, 72:4 (2017), 671–706
2016
29.
Viktor I. Buslaev, Sergey P. Suetin, “On the existence of compacta of minimal capacity in the theory of rational approximation of multi-valued analytic functions”, J. Approx. Theory, 206 (2016), 48–67 , arXiv: 1505.06120
Andrei Martínez-Finkelshtein, Evguenii A. Rakhmanov, Sergey P. Suetin, “Asymptotics of type I Hermite–Padé polynomials for semiclassical functions”, Contemp. Math., 661, 2016, 199–228 , arXiv: 1502.01202
Nikolay R. Ikonomov, Ralitza K. Kovacheva, Sergey P. Suetin, Zero Distribution of Hermite–Padé Polynomials and Convergence Properties of Hermite Approximants for Multivalued Analytic Functions, 2016 , 37 pp., arXiv: 1603.03314
32.
A. V. Komlov, N. G. Kruzhilin, R. V. Palvelev, S. P. Suetin, “Convergence of Shafer quadratic approximants”, Russian Math. Surveys, 71:2 (2016), 373–375
33.
Sergey Pavlovich Suetin, Sina Sadeghi Baghsorkhi, Embedding AC Power Flow in the Complex Plane Part I: Modelling and Mathematical Foundation, 2016 , 13 pp., arXiv: 1604.03425
34.
S. P. Suetin, “Zero distribution of Hermite–Padé polynomials and localization of branch points of multivalued analytic functions”, Russian Math. Surveys, 71:5 (2016), 976–978
2015
35.
N. R. Ikonomov, R. K. Kovacheva, S. P. Suetin, Some numerical results on the behavior of zeros of the Hermite-Padé polynomials, 2015 , 95 pp., arXiv: 1501.07090
36.
S. S. Baghsorkhi, S. P. Suetin, Embedding AC Power Flow with Voltage Control in the Complex Plane : The Case of Analytic Continuation via Padé Approximants, 2015 , 9 pp., arXiv: 1504.03249
37.
Nikolay R. Ikonomov, Ralitza K. Kovacheva, Sergey P. Suetin, On the limit zero distribution of type I Hermite–Padé polynomials, 2015 , 67 pp., arXiv: 1506.08031
38.
V. I. Buslaev, S. P. Suetin, “On Equilibrium Problems Related to the Distribution of Zeros of the Hermite–Padé Polynomials”, Proc. Steklov Inst. Math., 290 (2015), 256–263
39.
S. P. Suetin, “Distribution of the zeros of Padé polynomials and analytic continuation”, Russian Math. Surveys, 70:5 (2015), 901–951
40.
N. R. Ikonomov, R. K. Kovacheva, S. P. Suetin, “Nuttall's integral equation and Bernshtein's asymptotic formula for a complex weight”, Izv. Math., 79:6 (2015), 1215–1234
41.
A. V. Komlov, S. P. Suetin, “Distribution of the zeros of Hermite–Padé polynomials”, Russian Math. Surveys, 70:6 (2015), 1179–1181
2014
42.
V. I. Buslaev, S. P. Suetin, “Existence of compact sets with minimum capacity in problems of rational approximation of multivalued analytic functions”, Russian Math. Surveys, 69:1 (2014), 159–161
43.
A. V. Komlov, S. P. Suetin, “Strong asymptotics of two-point Padé approximants for power-like multivalued functions”, Dokl. Math., 89:2 (2014), 165–168
44.
R. K. Kovacheva, S. P. Suetin, “Distribution of Zeros of the Hermite–Padé Polynomials for a System of Three Functions, and the Nuttall Condenser”, Proc. Steklov Inst. Math., 284 (2014), 168–191
45.
A. V. Komlov, S. P. Suetin, “An asymptotic formula for polynomials orthonormal with respect to a varying weight. II”, Sb. Math., 205:9 (2014), 1334–1356
46.
V. I. Buslaev, S. P. Suetin, “An extremal problem in potential theory”, Russian Math. Surveys, 69:5 (2014), 915–917
2013
47.
A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, “A differential equation for Hermite–Padé polynomials”, Russian Math. Surveys, 68:1 (2013), 183–185
48.
A. V. Komlov, S. P. Suetin, “An asymptotic formula for a two-point analogue of Jacobi polynomials”, Russian Math. Surveys, 68:4 (2013), 779–781
49.
E. A. Rakhmanov, S. P. Suetin, “The distribution of the zeros of the Hermite-Padé polynomials for a pair of functions forming a Nikishin system”, Sb. Math., 204:9 (2013), 1347–1390
50.
Sergey Suetin, Trace formulas for a class of Jacobi operators, 2013 , 31 pp., arXiv: 1310.4356
51.
Sergey Suetin, On the distribution of zeros of the Hermite–Padé polynomials for three algebraic functions $1,f,f^2$ and the global topology of the Stokes lines for some differential equations of the third order, 2013 , 59 pp., arXiv: 1312.7105
2012
52.
A. V. Komlov, S. P. Suetin, “Widom's formula for the leading coefficient of a polynomial which is orthonormal with respect to a varying weight”, Russian Math. Surveys, 67:1 (2012), 183–185
53.
S. P. Suetin, “An analogue of the Hadamard and Schiffer variational formulas”, Theoret. and Math. Phys., 170:3 (2012), 274–279
54.
E. A. Rakhmanov, S. P. Suetin, “Asymptotic behaviour of the Hermite–Padé polynomials of the 1st kind for a pair of functions forming a Nikishin system”, Russian Math. Surveys, 67:5 (2012), 954–956
55.
A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, “Heine, Hilbert, Padé, Riemann, and Stieltjes: a John Nuttall's work 25 years later”, Recent advances in orthogonal polynomials, special functions and their applications, 11th International Symposium (August 29–September 2, 2011 Universidad Carlos III de Madrid Leganés, Spain), Contemp. Math., 578, eds. J. Arvesú and G. López Lagomasino, Amer. Math. Soc., Providence, RI, 2012, 165–193
V. I. Buslaev, A. Martines-Finkelshtein, S. P. Suetin, “Metod vnutrennikh variatsii i suschestvovanie $S$-kompaktov”, Analiticheskie i geometricheskie voprosy kompleksnogo analiza, Sbornik statei, Tr. MIAN, 279, MAIK, M., 2012, 31–58
A. V. Komlov, S. P. Suetin, “Asimptoticheskaya formula dlya polinomov, ortonormirovannykh otnositelno peremennogo vesa”, Trudy Moskovskogo matematicheskogo obschestva, Tr. MMO, 73, no. 2, MTsNMO, M., 2012, 175–200
A. V. Komlov, S. P. Suetin, “Leading coefficients asymptotics for orthonormal polynomials with respect to varying weight”, 4th Russian-Armenian workshop on mathematical physics, complex analysis and related topics (Russia, Krasnoyarsk, September 9–16, 2012), Abstracts, Siberian Federal University, Krasnoyarsk, 2012, 26–29pdf (in Russian)
2011
59.
A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, “Variation of the equilibrium measure and the $S$-property of a stationary compact set”, Russian Math. Surveys, 66:1 (2011), 176–178
60.
A. Martínez-Finkelshtein, E. A. Rakhmanov, S. P. Suetin, “Variation of the equilibrium energy and the $S$-property of stationary compact sets”, Sb. Math., 202:12 (2011), 1831–1852
61.
A. I. Aptekarev, V. I. Buslaev, A. Martínez-Finkelshtein, S. P. Suetin, “Padé approximants, continued fractions, and orthogonal polynomials”, Russian Math. Surveys, 66:6 (2011), 1049–1131
62.
A. A. Gonchar, E. A. Rakhmanov, S. P. Suetin, “Padé–Chebyshev approximants of multivalued analytic functions, variation of equilibrium energy, and the $S$-property of stationary compact sets”, Russian Math. Surveys, 66:6 (2011), 1015–1048
63.
S. P. Suetin, “Random matrices and asymptotics of orthogonal polynomials”, III International Conference on Matrix Methods in Mathematics and Applications, Abstracts (Moscow, Russia, June 22-25, 2011), Institute of Numerical Mathematics of RAS, 2011, 18Web-site
2012
64.
S. P. Suetin, “Numerical analysis of some characteristics of the limit cycle of the free van der Pol equation”, Proc. Steklov Inst. Math., 278, suppl. 1 (2012), S1–S54
2010
65.
S. P. Suetin, “O skhodimosti diagonalnykh approksimatsii Pade ortogonalnykh razlozhenii”, Teoriya priblizhenii, Mezhdunarodnaya konferentsiya, posvyaschennaya 90-letiyu so dnya rozhdeniya Sergeya Borisovicha Stechkina (1920–1995) (Moskva, Rossiya, 23–26 avgusta, 2010 g.), MIAN, Moskva, 2010, 70sait konferentsii
66.
S. P. Suetin, “O skhodimosti nelineinykh approksimatsii Pade–Chebysheva”, Sovremennye problemy analiza i prepodavaniya matematiki, Materialy Mezhdunarodnoi nauchnoi konferentsii, posvyaschennoi 105-letiyu akademika Sergeya Mikhailovicha Nikolskogo (Rossiya, Moskva, 17–19 maya 2010 g.), Izdatelstvo TsPI pri mekh-mat. fakultete MGU, Moskva, Vorobevy Gory, Moskva, 2010, 84
67.
A. A. Gonchar, E. A. Rakhmanov, S. P. Suetin, On the convergence of Chebyshev–Pade approximations to real-valued algebraic functions, 2010 , 10 pp., arXiv: 1009.4813
2009
68.
S. P. Suetin, “On the Existence of Nonlinear Padé–Chebyshev Approximations for Analytic Functions”, Math. Notes, 86:2 (2009), 264–275
69.
S. P. Suetin, “Strong asymptotics of polynomials orthogonal with respect to a complex weight”, Sb. Math., 200:1 (2009), 77–93
70.
S. P. Suetin, “Ob asimptotike nulei mnogochlenov, ortogonalnykh otnositelno kompleksnogo vesa”, Spectral Problems and Related Topics (Rossiya, Moskva, 18–21 noyabrya 2009 g.), MGU, 2009, 40-41sait konferentsii
2008
71.
S. P. Suetin, “Chislennyi analiz chastoty svobodnykh avtokolebanii ostsillyatora Van der Polya”, Differentsialnye uravneniya i topologiya, Mezhdunarodnaya konferentsiya, posvyaschennaya 100-letiyu so dnya rozhdeniya akademika L.S. Pontryagina (Rossiya, Moskva, 17–22 iyunya 2008 g.), Tezisy dokladov, Izdatelskii otdel fakulteta VMiK MGU im. M.V. Lomonosova, Moskva, 2008, 199–200sait konferentsii
72.
S. P. Suetin, “O silnoi asimptotike mnogochlenov, ortogonalnykh otnositelno kompleksnogo vesa”, Vtoroe rossiisko-armyanskoe soveschanie po matematicheskoi fizike, kompleksnomu analizu i smezhnym voprosam (MIAN, Moskva, 5–11 oktyabrya 2008 g.), MIAN, Moskva, 2008, 53–55tezisy dokladov
2007
73.
S. P. Suetin, “Strong asymptotics of zeros of polynomials orthogonal with respect to a complex-valued weight”, Russian Math. Surveys, 62:4 (2007), 823–825
74.
S. P. Suetin, “Trace formulae for a class of Jacobi operators”, Sb. Math., 198:6 (2007), 857–885
2006
75.
S. P. Suetin, “Spectral properties of a class of discrete Sturm–Liouville operators”, Russian Math. Surveys, 61:2 (2006), 365–367
2011
76.
S. P. Suetin, “Comparative asymptotic behavior of solutions and trace formulas for a class of difference equations”, Proc. Steklov Inst. Math., 272, suppl. 2 (2011), 96–137
2005
77.
S. P. Suetin, “On polynomials orthogonal on several segments with indefinite weight”, Russian Math. Surveys, 60:5 (2005), 991–993
2004
78.
S. P. Suetin, “On interpolation properties of diagonal Padé approximants of elliptic functions”, Russian Math. Surveys, 59:4 (2004), 800–802
2011
79.
A. A. Gonchar, S. P. Suetin, “On Padé approximants of meromorphic functions of Markov type”, Proc. Steklov Inst. Math., 272, suppl. 2 (2011), 58–95
2003
80.
S. P. Suetin, “The asymptotic behaviour of diagonal Padé approximants for hyperelliptic functions of genus $g=2$”, Russian Math. Surveys, 58:4 (2003), 802–804
81.
S. P. Suetin, “Convergence of Chebyshëv continued fractions for elliptic functions”, Sb. Math., 194:12 (2003), 1807–1835
2002
82.
S. P. Suetin, “On Dumas' theorem in the theory of continued fractions”, Russian Math. Surveys, 57:5 (2002), 1010–1012
83.
S. P. Suetin, “On the dynamics of “wandering” zeros of polynomials that are orthogonal on certain intervals”, Russian Math. Surveys, 57:2 (2002), 425–427
84.
S. P. Suetin, “Padé approximants and efficient analytic continuation of a power series”, Russian Math. Surveys, 57:1 (2002), 43–141
85.
S. P. Suetin, “Approximation properties of the poles of diagonal Padé approximants for certain generalizations of Markov functions”, Sb. Math., 193:12 (2002), 1837–1866
2001
86.
S. P. Suetin, Nekotorye voprosy skhodimosti approksimatsii Pade i analiticheskogo prodolzheniya funktsii, Diss. … doktora fiz.-mat. nauk, Matematicheskii institut im. V. A. Steklova Rossiiskoi akademii nauk, Moskva, 2001 , 128 pp.
87.
S. P. Suetin, Nekotorye voprosy skhodimosti approksimatsii Pade i analiticheskogo prodolzheniya funktsii, Avtoreferat diss. … doktora fiz.-mat. nauk, Izd-vo “Narodnyi uchitel”, Moskva, 2001 , 28 pp.
88.
A. I. Aptekarev, W. Van Assche, S. P. Suetin, “A scalar Riemann problem approach to the strong asymptotics of Padé approximates and orthogonal polynomials”, Keldysh Institute preprints, 2001, 26–I
2000
89.
S. P. Suetin, “Uniform convergence of Padé diagonal approximants for hyperelliptic functions”, Sb. Math., 191:9 (2000), 1339–1373
1998
90.
S. P. Suetin, “Asymptotics of Akhiezer polynomials and uniform convergence of Padé approximants for hyperelliptic functions”, Russian Math. Surveys, 53:6 (1998), 1377–1379
1997
91.
S. P. Suetin, “Asymptotics of the denominators of the diagonal Padé approximations of orthogonal expansions”, Dokl. Math., 56:2 (1997), 774–776
1992
92.
A. A. Gonchar, E. A. Rakhmanov, S. P. Suetin, “On the rate of convergence of Padé approximants of orthogonal expansions”, Progress in approximation theory (Tampa, FL, 1990), Springer Ser. Comput. Math., 19, Springer, New York, 1992, 169–190
A. A. Gonchar, E. A. Rakhmanov, S. P. Suetin, “On the convergence of Padé approximation of orthogonal expansions”, Proc. Steklov Inst. Math., 200 (1993), 149–159
1987
94.
A. A. Gonchar, S. P. Suetin, “Uniform convergence of Padé approximants”, Investigations in the theory of the approximation of functions, Akad. Nauk SSSR Bashkir. Filial Otdel Fiz. Mat., Ufa, 1987, 70–84
1985
95.
S. P. Suetin, “On an inverse problem for the $m$th row of a Padé table”, Math. USSR-Sb., 52:1 (1985), 231–244
96.
V. V. Vavilov, V. A. Prokhorov, S. P. Suetin, “The poles of the $m$th row of the Padé table and the singular points of a function”, Math. USSR-Sb., 50:2 (1985), 457–463
1984
97.
V. I. Buslaev, A. A. Gonchar, S. P. Suetin, “On convergence of subsequences of the $m$th row of a Padé table”, Math. USSR-Sb., 48:2 (1984), 535–540
98.
S. P. Suetin, “On poles of the $m$th row of a Padé table”, Math. USSR-Sb., 48:2 (1984), 493–497
1982
99.
S. P. Suetin, Voprosy skhodimosti approksimatsii Pade–Fabera, Avtoreferat diss. … kand. fiz.-mat. nauk, Rotaprint VNIPKI, Moskva, 1982 , 12 pp.
100.
S. P. Suetin, “On Montessus de Ballore's theorem for rational approximants of orthogonal expansions”, Math. USSR-Sb., 42:3 (1982), 399–411
1981
101.
S. P. Suetin, Voprosy skhodimosti approksimatsii Pade–Fabera, Diss. … kand. fiz.-mat. nauk, Moskovskii gosudarstvennyi universitet im. M. V. Lomonosova, Moskva, 1981 , 78 pp.
1980
102.
S. P. Suetin, “On de Montessus de Ballore's theorem for nonlinear Padé approximants of orthogonal expansions and Faber series”, Soviet Math. Dokl., 22 (1980), 274–277
103.
S. P. Suetin, “Inverse theorems on generalized Padé approximants”, Math. USSR-Sb., 37:4 (1980), 581–597
1978
104.
S. P. Suetin, “On the convergence of rational approximations to polynomial expansions in domains of meromorphy of a given function”, Math. USSR-Sb., 34:3 (1978), 367–381
Отдел комплексного анализа E. M. Chirka, S. P. Suetin Conference MIAN-90, dedicated to the 90th anniversary of Steklov Mathematical Institute May 13, 2024 15:00
Complex analysis, mathematical physics, and applications, Collected papers, Trudy Mat. Inst. Steklova, 301, ed. A. I. Aptekarev, M. O. Katanaev, S. P. Suetin, 2018, 335 с. http://mi.mathnet.ru/book1696
S. P. Suetin, Numerical Analysis of Some Characteristics of the Limit Cycle of the Free van der Pol Equation, Sovrem. Probl. Mat., 14, 2010, 58 с. http://mi.mathnet.ru/book1342
S. P. Suetin, Comparative Asymptotic Behavior of Solutions and Trace Formulas for a Class of Difference Equations, Sovrem. Probl. Mat., 6, 2006, 72 с. http://mi.mathnet.ru/book471
A. A. Gonchar, S. P. Suetin, On Padé Approximants of Meromorphic Functions of Markov Type, Sovrem. Probl. Mat., 5, 2004, 68 с. http://mi.mathnet.ru/book472