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Gantmakher, Feliks Ruvimovich

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Author ID: gantmacher.felix Recent zbMATH articles by "Gantmakher, Feliks Ruvimovich"
Published as: Gantmacher, F.; Gantmacher, F. R.; Gantmacher, Felix; Gantmaher, F. R.; Gantmakher, F.; Gantmakher, F. R.; Gantmakher, P.; Gantmakher, V.
External Links: MGP · Math-Net.Ru · Wikidata · GND
Documents Indexed: 56 Publications since 1931, including 21 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH

40 Publications have been cited 4,980 times in 4,721 Documents Cited by Year
Applications of the theory of matrices. Zbl 0085.01001
Gantmacher, F. R.
1959
Oscillation matrices and kernels and small vibrations of mechanical systems. Zbl 0088.25103
Gantmacher, F. R.; Krein, M. G.
659
1960
The theory of matrices. Zbl 0050.24804
Gantmakher, F. R.
330
1953
Theory of matrices. (Teoriya matrits). 4th ed., compl. Ed. by V. B. Lidskij. Zbl 0666.15002
Gantmakher, F. R.
225
1988
Théorie des matrices. I: Théorie générale. II: Questions speciales et applications. Zbl 0136.00410
Gantmacher, F. R.
139
1966
Absolute stability of regulator systems. Zbl 0123.28401
Aĭzerman, M. A.; Gantmakher, F.
130
1964
The theory of matrices. Vol. 2. Transl. from the Russian by K. A. Hirsch. Reprint of the 1959 translation. Zbl 0927.15002
Gantmacher, F. R.
101
1998
Oscillation matrices and kernels and small vibrations of mechanical systems. Translation based on the 1941 Russian original. Edited and with a preface by Alex Eremenko. Revised ed. Zbl 1002.74002
Gantmacher, F. R.; Krein, M. G.
93
2002
The theory of matrices. Vol. 1. Transl. from the Russian by K. A. Hirsch. Reprint of the 1959 translation. Zbl 0927.15001
Gantmacher, F. R.
86
1998
Oscillation matrices and kernels and small vibrations of mechanical systems. Zbl 0041.35502
Gantmacher, F. R.; Kreĭn, M. G.
46
1950
On the classification of real simple Lie groups. JFM 65.1131.03
Gantmacher, F.
38
1939
Lectures in analytical mechanics. Zbl 0212.56701
Gantmakher, F.
35
1970
Matrizenrechnung. I. Allgemeine Theorie. Zbl 0079.01106
Gantmacher, F. R.
32
1958
Determination of stability by linear approximation of a periodic solution of a system of differential equations with discontinuous right-hand sides. Zbl 0198.12601
Aizerman, M. A.; Gantmakher, F. R.
28
1958
Sur les matrices completement non négatives et oscillatoires. Zbl 0017.00102
Gantmakher, F.; Krein, M.
27
1937
Sur les matrices complètement non négatives et oscillatoires. JFM 63.0038.04
Gantmakher, F.; Krein, M.
25
1937
Canonical representation of automorphisms of a complex semisimple Lie group. JFM 65.1131.02
Gantmacher, F.
24
1939
On the stability of the equilibrium positions for discontinuous systems. Zbl 0101.30402
Aĭzerman, M. A.; Gantmakher, F. R.
18
1960
Canonical representation of automorphisms of a complex semisimple Lie group. Zbl 0022.01201
Gantmacher, Felix
18
1939
Matrizenrechnung. Teil 2: Spezielle Fragen und Anwendungen. Zbl 0085.00904
Gantmacher, F. R.
16
1959
On the stability of periodic motions. Zbl 0086.29102
Aĭzerman, M. A.; Gantmakher, F. R.
16
1958
Stabilität der Gleichgewichtslage in einem nicht-holonomen System. Zbl 0077.29502
Aisermann, M. A.; Gantmacher, F. R.
13
1957
Absolute stability of regulator systems. Zbl 0111.08702
Aĭzerman, M. A.; Gantmakher, F. R.
12
1963
Sur les matrices oscillatoires. Zbl 0012.28903
Gantmacher, F.; Krein, M.
10
1935
On the classification of real simple Lie groups. Zbl 0022.31503
Gantmacher, Felix
9
1939
Matrizenrechnung. Teil II. Spezielle Fragen und Anwendungen. 3. Aufl. Übersetzung aus dem Russischen: Klaus Stengert. Redaktion: Helmut Boseck. Zbl 0322.15004
Gantmacher, F. R.
7
1971
Oscillation matrices and small vibrations of mechanical systems. Zbl 0060.03303
Gantmacher, F. R.; Kreĭn, M. G.
6
1941
On critical cases in the theory of absolute stability of controlled systems. Zbl 0125.05301
Aĭzerman, M. A.; Gantmakher, F. R.
5
1963
Sur les espaces linéaires dont la sphère unitaire est faiblement compacte. Zbl 0017.36003
Gantmakher, V.; Smulian, V.
5
1937
Sur les matrices oscillatoires. JFM 61.0070.03
Gantmacher, F.; Krein, M.
5
1935
On an algebraic problem in the theory of automatic control. Zbl 0058.01202
Gantmakher, F. R.; Aĭzerman, M. A.
3
1954
Sur les noyaux de Kellogg non symétriques. Zbl 0013.20802
Gantmakher, F.
3
1936
Matrizentheorie. Übers. aus dem Russischen von Helmut Boseck, Dietmar Soyka und Klaus Stengert. (Nach der 2. Aufl. 1966). Zbl 0588.15001
Gantmakher, F. R.
2
1986
Equations of motion of a rocket. Zbl 0032.12701
Gantmacher, F. R.; Levin, L. M.
2
1947
Matrizenrechnung. Teil 1: Allgemeine Theorie. (Matrix arithmetic. Part I: General theoty.) Übersetzung aus dem Russischen von Klaus Stengert. Zbl 0223.15001
Gantmakher, F. R.
1
1970
Theorie der Matrizen. 2., erg. Aufl. Zbl 0145.03604
Gantmaher, F. R.
1
1966
Stability of solutions of systems of differential equations with discontinuous right hand sides. Zbl 0178.43404
Aĭzerman, M. A.; Gantmakher, F. R.
1
1964
On the determination of periodic regimes in a nonlinear dynamic system with piecewise linear characteristic. Zbl 0075.26904
Aĭzerman, M. A.; Gantmakher, F. R.
1
1956
A method of hydromechanical design of a system of dams. Zbl 0063.01507
Gantmacher, F. R.; Segal, B. I.
1
1942
La théorie geométrique des diviseurs élémentaires d’apres M. Krull. Zbl 0015.00104
Gantmacher, F.
1
1935
Oscillation matrices and kernels and small vibrations of mechanical systems. Translation based on the 1941 Russian original. Edited and with a preface by Alex Eremenko. Revised ed. Zbl 1002.74002
Gantmacher, F. R.; Krein, M. G.
93
2002
The theory of matrices. Vol. 2. Transl. from the Russian by K. A. Hirsch. Reprint of the 1959 translation. Zbl 0927.15002
Gantmacher, F. R.
101
1998
The theory of matrices. Vol. 1. Transl. from the Russian by K. A. Hirsch. Reprint of the 1959 translation. Zbl 0927.15001
Gantmacher, F. R.
86
1998
Theory of matrices. (Teoriya matrits). 4th ed., compl. Ed. by V. B. Lidskij. Zbl 0666.15002
Gantmakher, F. R.
225
1988
Matrizentheorie. Übers. aus dem Russischen von Helmut Boseck, Dietmar Soyka und Klaus Stengert. (Nach der 2. Aufl. 1966). Zbl 0588.15001
Gantmakher, F. R.
2
1986
Matrizenrechnung. Teil II. Spezielle Fragen und Anwendungen. 3. Aufl. Übersetzung aus dem Russischen: Klaus Stengert. Redaktion: Helmut Boseck. Zbl 0322.15004
Gantmacher, F. R.
7
1971
Lectures in analytical mechanics. Zbl 0212.56701
Gantmakher, F.
35
1970
Matrizenrechnung. Teil 1: Allgemeine Theorie. (Matrix arithmetic. Part I: General theoty.) Übersetzung aus dem Russischen von Klaus Stengert. Zbl 0223.15001
Gantmakher, F. R.
1
1970
Théorie des matrices. I: Théorie générale. II: Questions speciales et applications. Zbl 0136.00410
Gantmacher, F. R.
139
1966
Theorie der Matrizen. 2., erg. Aufl. Zbl 0145.03604
Gantmaher, F. R.
1
1966
Absolute stability of regulator systems. Zbl 0123.28401
Aĭzerman, M. A.; Gantmakher, F.
130
1964
Stability of solutions of systems of differential equations with discontinuous right hand sides. Zbl 0178.43404
Aĭzerman, M. A.; Gantmakher, F. R.
1
1964
Absolute stability of regulator systems. Zbl 0111.08702
Aĭzerman, M. A.; Gantmakher, F. R.
12
1963
On critical cases in the theory of absolute stability of controlled systems. Zbl 0125.05301
Aĭzerman, M. A.; Gantmakher, F. R.
5
1963
Oscillation matrices and kernels and small vibrations of mechanical systems. Zbl 0088.25103
Gantmacher, F. R.; Krein, M. G.
659
1960
On the stability of the equilibrium positions for discontinuous systems. Zbl 0101.30402
Aĭzerman, M. A.; Gantmakher, F. R.
18
1960
Applications of the theory of matrices. Zbl 0085.01001
Gantmacher, F. R.
1959
Matrizenrechnung. Teil 2: Spezielle Fragen und Anwendungen. Zbl 0085.00904
Gantmacher, F. R.
16
1959
Matrizenrechnung. I. Allgemeine Theorie. Zbl 0079.01106
Gantmacher, F. R.
32
1958
Determination of stability by linear approximation of a periodic solution of a system of differential equations with discontinuous right-hand sides. Zbl 0198.12601
Aizerman, M. A.; Gantmakher, F. R.
28
1958
On the stability of periodic motions. Zbl 0086.29102
Aĭzerman, M. A.; Gantmakher, F. R.
16
1958
Stabilität der Gleichgewichtslage in einem nicht-holonomen System. Zbl 0077.29502
Aisermann, M. A.; Gantmacher, F. R.
13
1957
On the determination of periodic regimes in a nonlinear dynamic system with piecewise linear characteristic. Zbl 0075.26904
Aĭzerman, M. A.; Gantmakher, F. R.
1
1956
On an algebraic problem in the theory of automatic control. Zbl 0058.01202
Gantmakher, F. R.; Aĭzerman, M. A.
3
1954
The theory of matrices. Zbl 0050.24804
Gantmakher, F. R.
330
1953
Oscillation matrices and kernels and small vibrations of mechanical systems. Zbl 0041.35502
Gantmacher, F. R.; Kreĭn, M. G.
46
1950
Equations of motion of a rocket. Zbl 0032.12701
Gantmacher, F. R.; Levin, L. M.
2
1947
A method of hydromechanical design of a system of dams. Zbl 0063.01507
Gantmacher, F. R.; Segal, B. I.
1
1942
Oscillation matrices and small vibrations of mechanical systems. Zbl 0060.03303
Gantmacher, F. R.; Kreĭn, M. G.
6
1941
On the classification of real simple Lie groups. JFM 65.1131.03
Gantmacher, F.
38
1939
Canonical representation of automorphisms of a complex semisimple Lie group. JFM 65.1131.02
Gantmacher, F.
24
1939
Canonical representation of automorphisms of a complex semisimple Lie group. Zbl 0022.01201
Gantmacher, Felix
18
1939
On the classification of real simple Lie groups. Zbl 0022.31503
Gantmacher, Felix
9
1939
Sur les matrices completement non négatives et oscillatoires. Zbl 0017.00102
Gantmakher, F.; Krein, M.
27
1937
Sur les matrices complètement non négatives et oscillatoires. JFM 63.0038.04
Gantmakher, F.; Krein, M.
25
1937
Sur les espaces linéaires dont la sphère unitaire est faiblement compacte. Zbl 0017.36003
Gantmakher, V.; Smulian, V.
5
1937
Sur les noyaux de Kellogg non symétriques. Zbl 0013.20802
Gantmakher, F.
3
1936
Sur les matrices oscillatoires. Zbl 0012.28903
Gantmacher, F.; Krein, M.
10
1935
Sur les matrices oscillatoires. JFM 61.0070.03
Gantmacher, F.; Krein, M.
5
1935
La théorie geométrique des diviseurs élémentaires d’apres M. Krull. Zbl 0015.00104
Gantmacher, F.
1
1935
all top 5

Cited by 5,388 Authors

33 Mehrmann, Volker
28 Dopico, Froilán M.
28 Karcanias, Nicos
26 Johnson, Charles Royal
23 Friedland, Shmuel
22 Gohberg, Israel
21 Van Dooren, Paul M.
19 Kalogeropoulos, Grigoris I.
19 Schneider, Hans
19 Sergeichuk, Vladimir Vasil’evich
18 Zaballa, Ion
17 de Terán, Fernando
17 Fiedler, Miroslav
17 Lancaster, Peter
17 Rodman, Leiba X.
16 Ikramov, Saidkhakim Dododshanovich
16 Metel’skij, A. V.
15 Hinrichsen, Diederich
15 Kaczorek, Tadeusz
14 Hartwig, Robert E.
14 Shcheglova, Alla Arkad’evna
13 Karlin, Samuel
13 Kouvaritakis, Basil A.
13 Malabre, Michel
12 Dodig, Marija
12 Hershkowitz, Daniel
12 Mehl, Christian
12 Silva, Fernando Conceição
12 van den Driessche, Pauline
11 Cohen, Joel E.
11 Dassios, Ioannis K.
11 Fuhrmann, Paul A.
11 Hartfiel, Darald J.
11 Loewy, Raphael
11 Oară, Cristian
11 Olesky, D. Dale
11 Peña, Juan Manuel
10 Garloff, Jürgen
10 Kågström, Bo
10 Mackey, D. Steven
10 Markham, Thomas L.
10 Nagylaki, Thomas
9 Diblík, Josef
9 Fallat, Shaun M.
9 Goluzina, E. G.
9 He, Qi-Ming
9 Kazantzis, Nikolaos K.
9 Khusainov, Denis Ya.
9 Pantelous, Athanasios A.
9 Pinkus, Allan M.
9 Uyenoyama, Marcy K.
9 Van Barel, Marc
9 Yakubovich, Vladimir Andreevich
8 Anderson, Brian David Outram
8 Barrett, Wayne W.
8 Berman, Abraham S.
8 Dmytryshyn, Andrii R.
8 Fan, Ky
8 Horn, Roger Alan
8 Kaashoek, Marinus Adriaan
8 Reis, Timo
8 Šiljak, Dragoslav D.
8 Vandebril, Raf
8 Vardulakis, Antonis-Ioanis G.
8 Yakovets, V. P.
7 Banasiak, Jacek
7 Bonilla, Moisés E.
7 Brualdi, Richard Anthony
7 Christodoulou, Manolis A.
7 Dudin, Alexander N.
7 Gelig, Arkadiĭ Khaimovich
7 Gemignani, Luca
7 Helmke, Uwe R.
7 Iwata, Satoru
7 Jury, Eliahu I.
7 Kublanovskaya, Vera Nikolaevna
7 Lampe, Bernhard P.
7 Leonov, Gennadiĭ Alekseevich
7 Marek, Ivo
7 Micchelli, Charles A.
7 Misrikhanov, M. Sh.
7 Mitrouli, Marilena
7 Nakamura, Yoshimasa
7 Neumann, Michael
7 Ran, André C. M.
7 Riaza, Ricardo
7 Rosenwasser, Efim N.
7 Ryabchenko, Vladimir Nikolaevich
7 Schumacher, Johannes M.
7 Schwarz, Binyamin
7 Solak, Marek K.
7 Szyld, Daniel B.
7 Takamatsu, Mizuyo
7 Valcher, Maria Elena
7 Vassiliou, Panagiotis C. G.
7 Xu, Hongguo
6 Bitsoris, Georges
6 Boĭchuk, Oleksandr Andriĭovych
6 Boley, Daniel L.
6 Bourchtein, Andrei
...and 5,288 more Authors
all top 5

Cited in 539 Serials

834 Linear Algebra and its Applications
171 International Journal of Control
117 Automatica
115 Journal of Mathematical Analysis and Applications
104 Systems & Control Letters
83 Journal of Applied Mathematics and Mechanics
75 Linear and Multilinear Algebra
73 Ukrainian Mathematical Journal
69 Journal of Mathematical Sciences (New York)
67 Journal of Computational and Applied Mathematics
66 Journal of the Franklin Institute
59 International Journal of Systems Science
59 Mathematical Notes
48 Siberian Mathematical Journal
47 Mathematical Biosciences
44 Numerische Mathematik
43 Journal of Differential Equations
43 Transactions of the American Mathematical Society
42 Applied Mathematics and Computation
38 Theoretical Population Biology
37 Journal of Algebra
34 Automation and Remote Control
33 Journal of Computer and Systems Sciences International
32 Journal of Mathematical Biology
32 Proceedings of the American Mathematical Society
31 Journal of Soviet Mathematics
31 Differential Equations
30 Kybernetika
30 Circuits, Systems, and Signal Processing
29 Computers & Mathematics with Applications
29 Integral Equations and Operator Theory
27 Journal of Approximation Theory
27 International Journal of Control, I. Series
26 Journal of Functional Analysis
25 Advances in Mathematics
25 Journal of Optimization Theory and Applications
25 SIAM Journal on Matrix Analysis and Applications
23 Cybernetics and Systems Analysis
23 Doklady Mathematics
22 Communications in Mathematical Physics
22 PMM, Journal of Applied Mathematics and Mechanics
21 Proceedings of the Steklov Institute of Mathematics
20 European Journal of Control
19 Physica D
18 Israel Journal of Mathematics
18 Theoretical and Mathematical Physics
18 Prikladnaya Matematika i Mekhanika
18 SIAM Journal on Algebraic and Discrete Methods
18 Journal of Symbolic Computation
18 Nonlinear Oscillations
17 Russian Mathematics
16 Mathematische Zeitschrift
16 Theoretical Computer Science
16 Applied Numerical Mathematics
15 Discrete Mathematics
15 Journal of Computational Physics
15 Physics Letters. A
15 Journal of Pure and Applied Algebra
15 MCSS. Mathematics of Control, Signals, and Systems
14 Functional Analysis and its Applications
14 Numerical Algorithms
14 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
14 Nonlinear Analysis. Theory, Methods & Applications
13 Archive for Rational Mechanics and Analysis
13 Computer Methods in Applied Mechanics and Engineering
13 Bulletin of Mathematical Biology
13 Applied Mathematics Letters
13 Mathematical and Computer Modelling
13 International Journal of Applied Mathematics and Computer Science
13 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
12 Journal of Mathematical Physics
12 Mathematics of Computation
12 BIT
12 Ergodic Theory and Dynamical Systems
12 Computational Mathematics and Mathematical Physics
12 European Journal of Operational Research
11 Communications in Algebra
11 Reports on Mathematical Physics
11 Soviet Applied Mechanics
11 Journal of Econometrics
11 Journal of Elasticity
10 International Journal of Engineering Science
10 Annali di Matematica Pura ed Applicata. Serie Quarta
10 Journal of Combinatorial Theory. Series A
10 Journal of Multivariate Analysis
10 Multidimensional Systems and Signal Processing
10 Applied Mathematical Modelling
10 Mathematical Problems in Engineering
9 Discrete Applied Mathematics
9 International Journal of Mathematical Education in Science and Technology
9 Journal d’Analyse Mathématique
9 Lithuanian Mathematical Journal
9 Rocky Mountain Journal of Mathematics
9 Archiv der Mathematik
9 Journal of Economic Theory
9 Monatshefte für Mathematik
9 Acta Applicandae Mathematicae
9 Journal of Difference Equations and Applications
9 ELA. The Electronic Journal of Linear Algebra
8 Mathematical Proceedings of the Cambridge Philosophical Society
...and 439 more Serials
all top 5

Cited in 63 Fields

1,412 Linear and multilinear algebra; matrix theory (15-XX)
1,127 Systems theory; control (93-XX)
650 Ordinary differential equations (34-XX)
622 Numerical analysis (65-XX)
246 Biology and other natural sciences (92-XX)
245 Dynamical systems and ergodic theory (37-XX)
218 Combinatorics (05-XX)
211 Operator theory (47-XX)
207 Probability theory and stochastic processes (60-XX)
201 Partial differential equations (35-XX)
172 Mechanics of particles and systems (70-XX)
151 Computer science (68-XX)
129 Operations research, mathematical programming (90-XX)
127 Functions of a complex variable (30-XX)
113 Mechanics of deformable solids (74-XX)
112 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
105 Approximations and expansions (41-XX)
103 Statistics (62-XX)
91 Calculus of variations and optimal control; optimization (49-XX)
84 Group theory and generalizations (20-XX)
81 Number theory (11-XX)
81 Difference and functional equations (39-XX)
75 Algebraic geometry (14-XX)
70 Associative rings and algebras (16-XX)
70 Real functions (26-XX)
69 Differential geometry (53-XX)
69 Information and communication theory, circuits (94-XX)
67 Quantum theory (81-XX)
58 Nonassociative rings and algebras (17-XX)
56 Fluid mechanics (76-XX)
50 Manifolds and cell complexes (57-XX)
50 Statistical mechanics, structure of matter (82-XX)
49 Integral equations (45-XX)
48 Functional analysis (46-XX)
47 Field theory and polynomials (12-XX)
46 Commutative algebra (13-XX)
46 Harmonic analysis on Euclidean spaces (42-XX)
43 Special functions (33-XX)
40 Topological groups, Lie groups (22-XX)
37 Convex and discrete geometry (52-XX)
33 Global analysis, analysis on manifolds (58-XX)
30 Measure and integration (28-XX)
26 Geometry (51-XX)
25 Several complex variables and analytic spaces (32-XX)
20 Integral transforms, operational calculus (44-XX)
19 General topology (54-XX)
19 Optics, electromagnetic theory (78-XX)
15 Classical thermodynamics, heat transfer (80-XX)
14 Relativity and gravitational theory (83-XX)
13 Mathematical logic and foundations (03-XX)
13 Sequences, series, summability (40-XX)
12 History and biography (01-XX)
11 Abstract harmonic analysis (43-XX)
11 Algebraic topology (55-XX)
8 General and overarching topics; collections (00-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
8 Geophysics (86-XX)
6 Category theory; homological algebra (18-XX)
3 Potential theory (31-XX)
2 \(K\)-theory (19-XX)
1
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

Citations by Year

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