Prof. Mikhail Sumin
Nizhnii Novgorod State University
(N.I. Lobachevsky State University of Nizhnii Novgorod), Russia
Email: m.sumin@mm.unn.ru, msumin@sinn.ru
Qualifications
2000 Doctor of Science in Physics and Mathematics, Nizhnii Novgorod State
University, Russia
1983 Ph.D. in Mathematics, Kandidate
of Science in Physics and Mathematics, Nizhnii Novgorod State University,
Russia
1973 M.S. Mechanics and Mathematics Faculty, Nizhnii Novgorod State
University, Russia
Publications (Selected)
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Sumin, M.I.
Stable sequential Kuhn-Tucker theorem or regularized Uzawa algorithm in regular
nonlinear programming problem. Comput. Math. Math. Phys. 2015. Vol.55. No.6.
pp. 935-961.
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Sumin, M.I.
Stable sequential convex programming in
a Hilbert space and its application for solving unstable problems. Comput. Math. Math. Phys. 2014. Vol.54. No.1,
pp. 22-44.
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Gorshkov,
A.A., Sumin, M.I. Stable Lagrange principle in sequential form for convex
programming problem in uniformly convex space and its applications. Russian
Mathematics. 2014. Vol. 59. No. 1. pp.
11-23.
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Gavrilov,
V.S., Sumin, M.I. Sequential
optimization for semilinear divergent hyperbolic equation with a boundary
control and state inequality constraint. Control and Cybernetics. 2014. Vol.
43. No.2. pp. 183-226.
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Sumin, M.I.
Stable sequential Pontryagin maximum principle in optimal control problem with
state constraints. Proceedings of XIIth All-Russia conference on control
problems (VSPU-2014, June 16-19, Moscow), 2014, Moscow, Institute of Control
Science of RAS, pp. 796-808.
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Gaikovich,
K.P., Gaikovich, P.K., Sumin, M.I. Stable sequential Kuhn-Tucker theorem in
one-dimensional inverse problems of dielectric reflectometry. Proceedings of
16th International Conference on Transparent Optical Networks: ICTON 2014
(Austria, Graz, July 06-10, 2014), pp. Th.A4.6 (4 pp).
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Gaikovich,
K.P., Gaikovich, P.K., Galkin, O.E., Smirnov, A.I., Sumin, M.I. Dual regularization in one-dimensional
inverse problems. Vestnik of Nizhnii
Novgorod State University. 2013. No.1(1). pp. 57-72.
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Kanatov,
A.V., Sumin, M.I. Sequential stable Kuhn–Tucker theorem in nonlinear
programming. Comput. Math. Math. Phys.
2013. Vol.53. No.8, pp. 1078-1098.
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Sumin, M.I.
On the stable sequential Lagrange principle in the convex programming and its
applications for solving unstable problems. Proceedings of the Institute of
Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences.
2013. Vol. 19. No. 4, pp. 231-240.
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Sumin, M.I.
Parametric dual regularization in a linear-convex mathematical programming.
Chapter in book “Encyclopedia of Mathematics Research (3 Volume Set)”, Vol. 3.
Chapter 36, New-York: Nova Science Publishers Inc. 2012. pp.1009-1056.
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Sumin, M.I.
Regularized sequential Pontryagin maximum principle in the convex optimal
control with pointwise state constraints. Izv. IMI UdGU. 2012, No. 1(39),
130–133.
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Gaikovich,
K.P., Gaikovich, P.K., Sumin, M.I. Inverse scattering problem in
pseudopulse diagnostic of periodic
structures. Proceedings of 14th International Conference on Mathematical
Methods in Electromagnetic Theory (MMET*12, August 28-30, 2012, Kharkiv,
Ukraine), pp. 390-393.
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Gaikovich,
K.P., Gaikovich, P.K., Sumin, M.I. Inverse scattering problem in diagnostic of
multilayer periodic structures. Proceedings of 6th International Conference
“Ultrawideband and Ultrashort Impulse Signals” (17-21 September, 2012,
Sevastopol, Ukraine), Sevastopol: IEEE, IEEE Catalog Number: CFP12587-CDR,
ISBN: 978-1-4673-1941-6, pp. 226-228.
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Sumin, M.I.
On the stable sequential Kuhn-Tucker theorem and its applications. Applied
Mathematics. 2012. Vol.3. No.10A (Special issue “Optimization”'). pp.1334-1350.
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Sumin, M.I.
Dual Regularization and Pontryagin’s Maximum Principle in a Problem of Optimal
Boundary Control for a Parabolic Equation with Nondifferentiable
Functionals. Proceedings of the Steklov
Institute of Mathematics. 2011. Vol. 275, Suppl. No.1, pp. S161-S177.
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Gavrilov,
V.S., Sumin, M.I. Perturbation method in the theory of Pontryagin maximum
principle for optimal control of divergent semilinear hyperbolic equations with
pointwise state constraints. In book “Control Theory and its Applications”, Chapter
4, New-York: Nova Science Publishers Inc. 2011. pp.83-144.
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Gavrilov,
V.S., Sumin, M.I. Parametric
optimization for divergent hyperbolic equation with pointwise state constraint,
I. Differential Equations. 2011. Vol. 47, No. 4, pp. 547–559.
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Gavrilov,
V.S., Sumin, M.I. Parametric
optimization for divergent hyperbolic equation with pointwise state constraint,
II. Differential Equations. 2011. Vol. 47, No. 5, pp. 726–737.
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Sumin, M.I.
Parametric dual regularization and
Kuhn-Tucker theorem. Tambov State University Reports. Series: Natural
and Technical Sciences. 2011.
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Vol.16, No.1, pp.77-89.
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Gaikovich,
K.P., Gaikovich, P.K., Sumin, M.I. One-dimensional inverse scattering problem.
Proceedings of 2011 13th International Conference on Transparent Optical
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Networks
(ICTON 2011, Stockholm, Sweden, June 26 – 30, 2011), pp.We.A2.4 (1-4).
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Sumin, M.I.
Regularized Parametric Kuhn–Tucker Theorem in a Hilbert Space. Comput. Math.
Math. Phys. 2011. Vol.51. No.9, pp.1489-1509
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Kalinin,
A.V., Sumin, M.I., Tyukhtina, A.A. On regularizing dual algorithms for inverse
problems of final observation for system of Maxwell's equations in
quasistationary magnetic approach. Vestnik of Nizhnii Novgorod State
University. 2011. No.4(1), pp. 166-172.
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Sumin, M.I.
Parametric dual regularization in a nonlinear mathematical programming. In book
“Advances in Mathematics Research, Volume 11”, Chapter 5, New-York: Nova
Science Publishers Inc. 2010. pp.103-134.
Profile Details
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