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Litvinov, Grigory Lazarevich

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Author ID: litvinov.grigory-l Recent zbMATH articles by "Litvinov, Grigory Lazarevich"
Published as: Litvinov, G. L.; Litvinov, Gregory L.; Litvinov, Grigori L.; Litvinov, Grigory L.
External Links: Math-Net.Ru
Documents Indexed: 67 Publications since 1969, including 5 Books
Reviewing Activity: 41 Reviews
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH

40 Publications have been cited 278 times in 202 Documents Cited by Year
Idempotent functional analysis: An algebraic approach. Zbl 1017.46034
Litvinov, G. L.; Maslov, V. P.; Shpiz, G. B.
58
2001
The correspondence principle for idempotent calculus and some computer applications. Zbl 0897.68050
Litvinov, Grigori L.; Maslov, Victor P.
30
1998
The Maslov dequantization, idempotent and tropical mathematics: a brief introduction. Zbl 1102.46049
Litvinov, G. L.
20
2005
Idempotent interval analysis and optimization problems. Zbl 1012.65065
Litvinov, Grigori L.; Sobolevskiĭ, Andrei N.
20
2001
Idempotent mathematics and mathematical physics. Proceedings of the international workshop, Vienna, Austria, February 3–10, 2003. Zbl 1069.00011
Litvinov, G. L. (ed.); Maslov, V. P. (ed.)
15
2005
Hypergroups and hypergroup algebras. Zbl 0628.43009
Litvinov, G. L.
13
1987
Tropical and idempotent mathematics. International workshop TROPICAL-07, Moscow, Russia, August 25–30, 2007. Zbl 1172.00019
Litvinov, G. L. (ed.); Sergeev, S. N. (ed.)
12
2009
The Maslov dequantization, idempotent and tropical mathematics: a very brief introduction. Zbl 1096.46045
Litvinov, G. L.
12
2005
Idempotent mathematics: A correspondence principle and its applications to computing. Zbl 0916.49019
Litvinov, G. L.; Maslov, V. P.
12
1996
Tropical mathematics, idempotent analysis, classical mechanics and geometry. Zbl 1223.14070
Litvinov, G. L.
9
2011
Idempotent mathematics and interval analysis. Zbl 1014.49020
Litvinov, G. L.; Maslov, V. P.; Sobolevskij, A. N.
7
2001
Universal numerical algorithms and their software implementation. Zbl 0968.68194
Litvinov, G. L.; Maslova, E. V.
7
2000
Tensor products of idempotent semimodules. An algebraic approach. Zbl 0974.46057
Litvinov, G. L.; Maslov, V. P.; Shpiz, G. B.
7
1999
Linear functionals on idempotent spaces. An algebraic approach. Zbl 0970.46003
Litvinov, G. L.; Maslov, V. P.; Shpiz, G. B.
6
1998
Approximate construction of rational approximations and the effect of error autocorrection. Applications. Zbl 0916.41013
Litvinov, Gregory L.
5
1993
The dequantization transform and generalized Newton polytopes. Zbl 1080.81011
Litvinov, G. L.; Shpiz, G. B.
4
2005
Universal algorithms for solving the matrix Bellman equations over semirings. Zbl 1327.65082
Litvinov, G. L.; Rodionov, A. Ya.; Sergeev, S. N.; Sobolevski, A. N.
3
2013
Error autocorrelation in rational approximation and interval estimates. A survey of results. Zbl 1087.41015
Litvinov, Grigori L.
3
2003
Idempotent (asymptotic) mathematics and the representation theory. Zbl 1029.43004
Litvinov, G. L.; Maslov, V. P.; Shpiz, G. B.
3
2002
Group representations in locally convex spaces, and topological group algebras. Zbl 0257.22017
Litvinov, G. L.
3
1972
Tropical and idempotent mathematics and applications. Proceedings of the international workshop on tropical and idempotent mathematics, Independent University of Moscow, Russia, August 26–31, 2012. Zbl 1291.00065
Litvinov, G. L. (ed.); Sergeev, S. N. (ed.)
2
2014
Idempotent and tropical mathematics; complexity of algorithms and interval analysis. Zbl 1362.68110
Litvinov, G. L.
2
2013
Approximate rational arithmetics and arbitrary precision computations for universal algorithms. Zbl 1141.65363
Litvinov, G. L.; Rodionov, A. Ya.; Tchourkin, A. V.
2
2008
Kernel theorems and nuclearity in idempotent mathematics. An algebraic approach. Zbl 1112.46005
Litvinov, G. L.; Shpiz, G. B.
2
2006
Nuclear semimodules and kernel theorems in idempotent analysis: an algebraic approach. Zbl 1246.46063
Litvinov, G. L.; Shpiz, G. B.
2
2002
Representations of groups in locally convex spaces and topological group algebras. Zbl 0659.22010
Litvinov, G. L.
2
1988
Density theorems in locally convex spaces and their applications. Zbl 0471.47025
Litvinov, G. L.; Lomonosov, V. I.
2
1981
On double topological algebras and topological Hopf algebras. Zbl 0436.46037
Litvinov, G. L.
2
1978
On the conditions under which a representation is determined by its character to within an equivalence. Zbl 0312.46059
Litvinov, G. L.
2
1974
On common eigenvectors for semigroups of matrices in tropical and traditional linear algebra. Zbl 1283.15033
Shpiz, Grigory B.; Litvinov, Grigory L.; Sergeev, Sergeĭ N.
1
2013
A tropical version of the Schauder fixed point theorem. Zbl 1191.47074
Shpiz, G. B.; Litvinov, G. L.
1
2009
Exact interval solutions of the discrete Bellman equation, and the polynomial complexity of problems in interval idempotent linear algebra. Zbl 1045.65037
Litvinov, G. L.; Sobolevskij, A. N.
1
2000
Error auto-correction in rational approximation. Zbl 0829.65008
Litvinov, Grigory L.
1
1992
Approximate construction of rational approximations and the effect of error self-correction. Zbl 0782.41021
Litvinov, G. L.
1
1990
Approximation properties of locally convex spaces and the uniqueness problem for the trace of a linear operator. Zbl 0575.47016
Litvinov, G. L.
1
1983
An approximate construction of rational approximations. Zbl 0532.41019
Litvinov, G. L.; Fridman, V. N.
1
1983
Primary decompositions of the finite dimensional representations of Lie algebras and Lie groups. Zbl 0428.17005
Litvinov, G. L.; Shpiz, G. B.
1
1979
Generalized translation operators and their representations. Zbl 0741.47005
Litvinov, G. L.
1
1978
The Laplace transform on Lie groups. Zbl 0259.22012
Litvinov, G. L.
1
1972
On completely irreducible representations of complex and real nilpotent Lie groups. Zbl 0211.43205
Litvinov, G. L.
1
1969
Tropical and idempotent mathematics and applications. Proceedings of the international workshop on tropical and idempotent mathematics, Independent University of Moscow, Russia, August 26–31, 2012. Zbl 1291.00065
Litvinov, G. L. (ed.); Sergeev, S. N. (ed.)
2
2014
Universal algorithms for solving the matrix Bellman equations over semirings. Zbl 1327.65082
Litvinov, G. L.; Rodionov, A. Ya.; Sergeev, S. N.; Sobolevski, A. N.
3
2013
Idempotent and tropical mathematics; complexity of algorithms and interval analysis. Zbl 1362.68110
Litvinov, G. L.
2
2013
On common eigenvectors for semigroups of matrices in tropical and traditional linear algebra. Zbl 1283.15033
Shpiz, Grigory B.; Litvinov, Grigory L.; Sergeev, Sergeĭ N.
1
2013
Tropical mathematics, idempotent analysis, classical mechanics and geometry. Zbl 1223.14070
Litvinov, G. L.
9
2011
Tropical and idempotent mathematics. International workshop TROPICAL-07, Moscow, Russia, August 25–30, 2007. Zbl 1172.00019
Litvinov, G. L. (ed.); Sergeev, S. N. (ed.)
12
2009
A tropical version of the Schauder fixed point theorem. Zbl 1191.47074
Shpiz, G. B.; Litvinov, G. L.
1
2009
Approximate rational arithmetics and arbitrary precision computations for universal algorithms. Zbl 1141.65363
Litvinov, G. L.; Rodionov, A. Ya.; Tchourkin, A. V.
2
2008
Kernel theorems and nuclearity in idempotent mathematics. An algebraic approach. Zbl 1112.46005
Litvinov, G. L.; Shpiz, G. B.
2
2006
The Maslov dequantization, idempotent and tropical mathematics: a brief introduction. Zbl 1102.46049
Litvinov, G. L.
20
2005
Idempotent mathematics and mathematical physics. Proceedings of the international workshop, Vienna, Austria, February 3–10, 2003. Zbl 1069.00011
Litvinov, G. L. (ed.); Maslov, V. P. (ed.)
15
2005
The Maslov dequantization, idempotent and tropical mathematics: a very brief introduction. Zbl 1096.46045
Litvinov, G. L.
12
2005
The dequantization transform and generalized Newton polytopes. Zbl 1080.81011
Litvinov, G. L.; Shpiz, G. B.
4
2005
Error autocorrelation in rational approximation and interval estimates. A survey of results. Zbl 1087.41015
Litvinov, Grigori L.
3
2003
Idempotent (asymptotic) mathematics and the representation theory. Zbl 1029.43004
Litvinov, G. L.; Maslov, V. P.; Shpiz, G. B.
3
2002
Nuclear semimodules and kernel theorems in idempotent analysis: an algebraic approach. Zbl 1246.46063
Litvinov, G. L.; Shpiz, G. B.
2
2002
Idempotent functional analysis: An algebraic approach. Zbl 1017.46034
Litvinov, G. L.; Maslov, V. P.; Shpiz, G. B.
58
2001
Idempotent interval analysis and optimization problems. Zbl 1012.65065
Litvinov, Grigori L.; Sobolevskiĭ, Andrei N.
20
2001
Idempotent mathematics and interval analysis. Zbl 1014.49020
Litvinov, G. L.; Maslov, V. P.; Sobolevskij, A. N.
7
2001
Universal numerical algorithms and their software implementation. Zbl 0968.68194
Litvinov, G. L.; Maslova, E. V.
7
2000
Exact interval solutions of the discrete Bellman equation, and the polynomial complexity of problems in interval idempotent linear algebra. Zbl 1045.65037
Litvinov, G. L.; Sobolevskij, A. N.
1
2000
Tensor products of idempotent semimodules. An algebraic approach. Zbl 0974.46057
Litvinov, G. L.; Maslov, V. P.; Shpiz, G. B.
7
1999
The correspondence principle for idempotent calculus and some computer applications. Zbl 0897.68050
Litvinov, Grigori L.; Maslov, Victor P.
30
1998
Linear functionals on idempotent spaces. An algebraic approach. Zbl 0970.46003
Litvinov, G. L.; Maslov, V. P.; Shpiz, G. B.
6
1998
Idempotent mathematics: A correspondence principle and its applications to computing. Zbl 0916.49019
Litvinov, G. L.; Maslov, V. P.
12
1996
Approximate construction of rational approximations and the effect of error autocorrection. Applications. Zbl 0916.41013
Litvinov, Gregory L.
5
1993
Error auto-correction in rational approximation. Zbl 0829.65008
Litvinov, Grigory L.
1
1992
Approximate construction of rational approximations and the effect of error self-correction. Zbl 0782.41021
Litvinov, G. L.
1
1990
Representations of groups in locally convex spaces and topological group algebras. Zbl 0659.22010
Litvinov, G. L.
2
1988
Hypergroups and hypergroup algebras. Zbl 0628.43009
Litvinov, G. L.
13
1987
Approximation properties of locally convex spaces and the uniqueness problem for the trace of a linear operator. Zbl 0575.47016
Litvinov, G. L.
1
1983
An approximate construction of rational approximations. Zbl 0532.41019
Litvinov, G. L.; Fridman, V. N.
1
1983
Density theorems in locally convex spaces and their applications. Zbl 0471.47025
Litvinov, G. L.; Lomonosov, V. I.
2
1981
Primary decompositions of the finite dimensional representations of Lie algebras and Lie groups. Zbl 0428.17005
Litvinov, G. L.; Shpiz, G. B.
1
1979
On double topological algebras and topological Hopf algebras. Zbl 0436.46037
Litvinov, G. L.
2
1978
Generalized translation operators and their representations. Zbl 0741.47005
Litvinov, G. L.
1
1978
On the conditions under which a representation is determined by its character to within an equivalence. Zbl 0312.46059
Litvinov, G. L.
2
1974
Group representations in locally convex spaces, and topological group algebras. Zbl 0257.22017
Litvinov, G. L.
3
1972
The Laplace transform on Lie groups. Zbl 0259.22012
Litvinov, G. L.
1
1972
On completely irreducible representations of complex and real nilpotent Lie groups. Zbl 0211.43205
Litvinov, G. L.
1
1969
all top 5

Cited by 219 Authors

17 Gaubert, Stéphane
17 Maslov, Viktor Pavlovich
11 Katz, Ricardo David
11 Litvinov, Grigory Lazarevich
11 Sergeev, Sergeĭ Mikhaĭlovich
7 Niţică, Viorel
6 Allamigeon, Xavier
6 de la Puente, Maria Jesus
6 Peperko, Aljoša
6 Plavka, Ján
5 Hardouin, Laurent
5 Kato, Tsuyoshi
5 Singer, Ivan
4 Bhuniya, Anjan Kumar
4 Di Nola, Antonio
4 Schneider, Hans
3 Aghezzaf, El-Houssaine
3 Akian, Marianne
3 Butkovič, Peter
3 Connes, Alain
3 Cottenceau, Bertrand
3 De Schrijver, Steven K.
3 Gavalec, Martin
3 Lhommeau, Mehdi
3 McEneaney, William M.
3 Müller, Vladimír
3 Myšková, Helena
3 Nam, Tran Giang
3 Niv, Adi
3 Sergeev, Sergeĭ N.
3 Shpiz, Grigory B.
3 Vanmaele, Hendrik
3 Zarichnyi, Michael Mikhailovich
2 Andrianov, Igor Vasil’evich
2 Angulo, Jesús
2 Bazylevych, Lidiya
2 Briec, Walter
2 Consani, Caterina
2 Gorban, Alexander N.
2 Grbić, Tatjana
2 Grigor’ev, Dmitriĭ Yur’evich
2 Izhakian, Zur
2 Jana, Kanchan
2 Jun, Jaiung
2 Kala, Vítězslav
2 Kirshtein, B. Kh.
2 Krivulin, Nikolai K.
2 Le Corronc, Euriell
2 Lenzi, Giacomo
2 Maragos, Petros
2 Maslova, T. V.
2 Medić, Slavica
2 Mikhalkin, Grigory B.
2 Mondal, Tapas Kumar
2 Perović, Aleksandar
2 Ponce, Daniela
2 Rowen, Louis Halle
2 Russo, Ciro
2 Shitov, Yaroslav Nikolaevich
2 Tao, Yuegang
2 Viro, Oleg Ya.
2 Wildberger, Norman John
2 Worthington, James
2 Zaitov, Adilbek Atakhanovich
1 Abuhlail, Jawad Y.
1 Addad, Boussad
1 Adrovic, Danko
1 Agahi, Hamzeh
1 Alekseevskiĭ, Dmitriĭ Vladimirovich
1 Amari, Said
1 Angelelli, Mario
1 Ansola, Macarena
1 Aristov, Oleg Yu.
1 Avendano, Martin
1 Awrejcewicz, Jan
1 Bai, Ruiqi
1 Banagl, Markus
1 Banjac, Bojan
1 Bapat, Ravindra Bhalchandra
1 Barbaresco, Frédéric
1 Bazilevich, L. Ë.
1 Bekzhanova, K.
1 Benchimol, Pascal
1 Brunsch, Thomas
1 Buhmiler, Sandra
1 Bukhshtaber, Viktor Matveevich
1 Cândido, Renato Markele Ferreira
1 Castella, Dominique
1 Cechlárová, Katarína
1 Cohen, Guy
1 Connett, William C.
1 Dalalyan, Samvel Grantovich
1 Daviaud, Laure
1 Davydov, Alekseĭ Aleksandrovich
1 Deshpande, Ameet Shridhar
1 Dower, Peter M.
1 Fahrenberg, Uli
1 Fomin, Sergey Vladimirovich
1 Gebuhrer, Olivier
1 Goodman, Roe W.
...and 119 more Authors
all top 5

Cited in 91 Serials

34 Linear Algebra and its Applications
14 Mathematical Notes
7 Russian Journal of Mathematical Physics
6 Fuzzy Sets and Systems
4 Automatica
4 Functional Analysis and its Applications
4 Journal of Algebra
4 Journal of Soviet Mathematics
4 Kybernetika
3 Communications in Algebra
3 Journal of Mathematical Analysis and Applications
3 Linear and Multilinear Algebra
3 Applied Mathematics and Computation
3 Journal of Pure and Applied Algebra
3 Mathematische Annalen
3 Journal of Symbolic Computation
3 Discrete Event Dynamic Systems
2 Computers & Mathematics with Applications
2 Discrete Applied Mathematics
2 Theoretical and Mathematical Physics
2 Advances in Mathematics
2 Journal of Number Theory
2 Transactions of the American Mathematical Society
2 Topology and its Applications
2 Systems & Control Letters
2 Annals of Pure and Applied Logic
2 Discrete & Computational Geometry
2 MCSS. Mathematics of Control, Signals, and Systems
2 Forum Mathematicum
2 International Journal of Algebra and Computation
2 Vestnik St. Petersburg University. Mathematics
2 St. Petersburg Mathematical Journal
2 Discrete and Continuous Dynamical Systems
2 Soft Computing
2 Japanese Journal of Mathematics. 3rd Series
2 Afrika Matematika
1 Bulletin of the Australian Mathematical Society
1 Communications in Mathematical Physics
1 Mathematische Semesterberichte
1 Physics Letters. A
1 Russian Mathematical Surveys
1 Bulletin of Mathematical Biology
1 Algebra Universalis
1 Applied Mathematics and Optimization
1 Commentationes Mathematicae Universitatis Carolinae
1 Demonstratio Mathematica
1 Information Sciences
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Combinatorial Theory. Series A
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Manuscripta Mathematica
1 Mathematische Zeitschrift
1 Nagoya Mathematical Journal
1 Programming and Computer Software
1 Results in Mathematics
1 Semigroup Forum
1 Studia Logica
1 Transactions of the Moscow Mathematical Society
1 Acta Mathematica Hungarica
1 Optimization
1 Journal of Complexity
1 Journal of the American Mathematical Society
1 SIAM Journal on Discrete Mathematics
1 The Journal of Geometric Analysis
1 Geometric and Functional Analysis. GAFA
1 Automation and Remote Control
1 Archive of Applied Mechanics
1 Russian Mathematics
1 Journal of Algebraic Combinatorics
1 Journal of Mathematical Sciences (New York)
1 Annales Mathématiques Blaise Pascal
1 Advances in Applied Clifford Algebras
1 Journal of Lie Theory
1 Mathematical Problems in Engineering
1 Doklady Mathematics
1 Mathematical Physics, Analysis and Geometry
1 Acta Mathematica Sinica. English Series
1 Lobachevskii Journal of Mathematics
1 Foundations of Computational Mathematics
1 Entropy
1 Central European Journal of Mathematics
1 Journal of Algebra and its Applications
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Applied and Industrial Mathematics
1 Tbilisi Mathematical Journal
1 Bulletin of Economic Research
1 Applied General Topology
1 Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya
all top 5

Cited in 50 Fields

58 Linear and multilinear algebra; matrix theory (15-XX)
37 Algebraic geometry (14-XX)
34 Associative rings and algebras (16-XX)
23 Functional analysis (46-XX)
23 Convex and discrete geometry (52-XX)
19 Order, lattices, ordered algebraic structures (06-XX)
19 Numerical analysis (65-XX)
15 Computer science (68-XX)
14 Statistical mechanics, structure of matter (82-XX)
14 Systems theory; control (93-XX)
13 Field theory and polynomials (12-XX)
13 Group theory and generalizations (20-XX)
12 Operations research, mathematical programming (90-XX)
11 General topology (54-XX)
10 Operator theory (47-XX)
9 Abstract harmonic analysis (43-XX)
8 Number theory (11-XX)
8 Topological groups, Lie groups (22-XX)
8 Real functions (26-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Category theory; homological algebra (18-XX)
7 Dynamical systems and ergodic theory (37-XX)
7 Probability theory and stochastic processes (60-XX)
7 Quantum theory (81-XX)
6 Combinatorics (05-XX)
5 Mathematical logic and foundations (03-XX)
5 General algebraic systems (08-XX)
5 Commutative algebra (13-XX)
5 Statistics (62-XX)
4 Measure and integration (28-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Partial differential equations (35-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Information and communication theory, circuits (94-XX)
3 Special functions (33-XX)
3 Approximations and expansions (41-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Differential geometry (53-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Nonassociative rings and algebras (17-XX)
2 Functions of a complex variable (30-XX)
2 Ordinary differential equations (34-XX)
2 Difference and functional equations (39-XX)
2 Mechanics of deformable solids (74-XX)
2 Biology and other natural sciences (92-XX)
1 Integral transforms, operational calculus (44-XX)
1 Manifolds and cell complexes (57-XX)

Citations by Year