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Gantmakher, Feliks Ruvimovich

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Author ID: gantmacher.felix Recent zbMATH articles by "Gantmakher, Feliks Ruvimovich"
Published as: Gantmakher, F. R.; Gantmacher, F. R.; Gantmakher, F.; Gantmacher, F.; Gantmacher, Felix; Gantmaher, F. R.; Gantmakher, V.; Gantmakher, Feliks Ruvimovich; Gantmakher, P.
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 Open

40 Publications have been cited 4,411 times in 4,347 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. (Oszillationsmatrizen, Oszillationskerne und kleine Schwingungen mechanischer Systeme.) Zbl 0088.25103
Gantmacher, F. R.; Krein, M. G.
542
1960
The theory of matrices. (Теория матриц.) Zbl 0050.24804
Gantmakher, F. R.
322
1953
Theory of matrices. (Teoriya matrits). 4th ed., compl. Ed. by V. B. Lidskij. (Teoriya matrits.) Zbl 0666.15002
Gantmakher, F. R.
227
1988
Théorie des matrices. I: Théorie générale. II: Questions speciales et applications. Zbl 0136.00410
Gantmacher, F. R.
119
1966
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.
89
1998
Absolute stability of regulator systems. Zbl 0123.28401
Aĭzerman, M. A.; Gantmakher, F.
71
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.
63
1998
Oscillation matrices and kernels and small vibrations of mechanical systems. (Осцилляционые матрицы и ядра и малые колебания механических систем.) Zbl 0041.35502
Gantmacher, F. R.; Kreĭn, M. G.
45
1950
On the classification of real simple Lie groups. JFM 65.1131.03
Gantmacher, F.
39
1939
Matrizenrechnung. I. Allgemeine Theorie. Zbl 0079.01106
Gantmacher, F. R.
29
1958
Canonical representation of automorphisms of a complex semisimple Lie group. JFM 65.1131.02
Gantmacher, F.
24
1939
Lectures in analytical mechanics. Zbl 0212.56701
Gantmakher, F.
23
1970
Sur les matrices completement non négatives et oscillatoires. Zbl 0017.00102
Gantmakher, F.; Krein, M.
22
1937
Sur les matrices complètement non négatives et oscillatoires. JFM 63.0038.04
Gantmakher, F.; Krein, M.
18
1937
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.
18
1958
On the stability of the equilibrium positions for discontinuous systems. Zbl 0101.30402
Aĭzerman, M. A.; Gantmakher, F. R.
18
1960
On the stability of periodic motions. Zbl 0086.29102
Aĭzerman, M. A.; Gantmakher, F. R.
16
1958
Canonical representation of automorphisms of a complex semisimple Lie group. Zbl 0022.01201
Gantmacher, Felix
13
1939
Stabilität der Gleichgewichtslage in einem nicht-holonomen System. Zbl 0077.29502
Aisermann, M. A.; Gantmacher, F. R.
13
1957
Matrizenrechnung. Teil 2: Spezielle Fragen und Anwendungen. Zbl 0085.00904
Gantmacher, F. R.
13
1959
Absolute stability of regulator systems. (Абсолютная устойчивость регулируемых систем) (Absolute Stabilität regelbarer Systeme.) Zbl 0111.08702
Aĭzerman, M. A.; Gantmakher, F. R.
11
1963
Sur les matrices oscillatoires. Zbl 0012.28903
Gantmacher, F.; Krein, M.
8
1935
On the classification of real simple Lie groups. Zbl 0022.31503
Gantmacher, Felix
8
1939
Sur les matrices oscillatoires. JFM 61.0070.03
Gantmacher, F.; Krein, M.
6
1935
Oscillation matrices and small vibrations of mechanical systems. (Осцилляционые матрицы и малые колебания механических систем.) Zbl 0060.03303
Gantmacher, F. R.; Kreĭn, M. G.
6
1941
Matrizenrechnung. Teil II. Spezielle Fragen und Anwendungen. 3. Aufl. Übersetzung aus dem Russischen: Klaus Stengert. Redaktion: Helmut Boseck. Zbl 0322.15004
Gantmacher, F. R.
5
1971
Sur les espaces linéaires dont la sphère unitaire est faiblement compacte. Zbl 0017.36003
Gantmakher, V.; Smulian, V.
5
1937
On critical cases in the theory of absolute stability of controlled systems. Zbl 0125.05301
Aĭzerman, M. A.; Gantmakher, F. R.
4
1963
Sur les noyaux de Kellogg non symétriques. Zbl 0013.20802
Gantmakher, F.
3
1936
On an algebraic problem in the theory of automatic control. (Über eine algebraische Aufgabe in der Theorie der automatischen Regelung.) Zbl 0058.01202
Gantmakher, F. R.; Aĭzerman, M. A.
3
1954
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
Stability of solutions of systems of differential equations with discontinuous right hand sides. (Stabilität der Lösungen von Systemen von Differentialgleichungen mit unstetigen rechten Seiten.) Zbl 0178.43404
Aĭzerman, M. A.; Gantmakher, F. R.
1
1964
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
La théorie géométrique des diviseurs élémentaires d’après M. Krull. Zbl 0015.00104
Gantmacher, F.
1
1935
A method of hydromechanical design of a system of dams. Zbl 0063.01507
Gantmacher, F. R.; Segal, B. I.
1
1942
On the determination of periodic regimes in a nonlinear dynamic system with piecewise linear characteristic. (Über die Bestimmung periodischer Bewegungen in nichtlinearen dynamischen Systemen mit stückweise linearer Charakteristik.) Zbl 0075.26904
Aĭzerman, M. A.; Gantmakher, F. R.
1
1956
Theorie der Matrizen. 2., erg. Aufl. Zbl 0145.03604
Gantmaher, F. R.
1
1966
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.
89
1998
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.
63
1998
Theory of matrices. (Teoriya matrits). 4th ed., compl. Ed. by V. B. Lidskij. (Teoriya matrits.) Zbl 0666.15002
Gantmakher, F. R.
227
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.
5
1971
Lectures in analytical mechanics. Zbl 0212.56701
Gantmakher, F.
23
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.
119
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.
71
1964
Stability of solutions of systems of differential equations with discontinuous right hand sides. (Stabilität der Lösungen von Systemen von Differentialgleichungen mit unstetigen rechten Seiten.) Zbl 0178.43404
Aĭzerman, M. A.; Gantmakher, F. R.
1
1964
Absolute stability of regulator systems. (Абсолютная устойчивость регулируемых систем) (Absolute Stabilität regelbarer Systeme.) Zbl 0111.08702
Aĭzerman, M. A.; Gantmakher, F. R.
11
1963
On critical cases in the theory of absolute stability of controlled systems. Zbl 0125.05301
Aĭzerman, M. A.; Gantmakher, F. R.
4
1963
Oscillation matrices and kernels and small vibrations of mechanical systems. (Oszillationsmatrizen, Oszillationskerne und kleine Schwingungen mechanischer Systeme.) Zbl 0088.25103
Gantmacher, F. R.; Krein, M. G.
542
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.
13
1959
Matrizenrechnung. I. Allgemeine Theorie. Zbl 0079.01106
Gantmacher, F. R.
29
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.
18
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. (Über die Bestimmung periodischer Bewegungen in nichtlinearen dynamischen Systemen mit stückweise linearer Charakteristik.) Zbl 0075.26904
Aĭzerman, M. A.; Gantmakher, F. R.
1
1956
On an algebraic problem in the theory of automatic control. (Über eine algebraische Aufgabe in der Theorie der automatischen Regelung.) Zbl 0058.01202
Gantmakher, F. R.; Aĭzerman, M. A.
3
1954
The theory of matrices. (Теория матриц.) Zbl 0050.24804
Gantmakher, F. R.
322
1953
Oscillation matrices and kernels and small vibrations of mechanical systems. (Осцилляционые матрицы и ядра и малые колебания механических систем.) Zbl 0041.35502
Gantmacher, F. R.; Kreĭn, M. G.
45
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. (Осцилляционые матрицы и малые колебания механических систем.) 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.
39
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
13
1939
On the classification of real simple Lie groups. Zbl 0022.31503
Gantmacher, Felix
8
1939
Sur les matrices completement non négatives et oscillatoires. Zbl 0017.00102
Gantmakher, F.; Krein, M.
22
1937
Sur les matrices complètement non négatives et oscillatoires. JFM 63.0038.04
Gantmakher, F.; Krein, M.
18
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.
8
1935
Sur les matrices oscillatoires. JFM 61.0070.03
Gantmacher, F.; Krein, M.
6
1935
La théorie géométrique des diviseurs élémentaires d’après M. Krull. Zbl 0015.00104
Gantmacher, F.
1
1935
all top 5

Cited by 4,820 Authors

31 Mehrmann, Volker
27 Dopico, Froilán M.
23 Johnson, Charles Royal
22 Friedland, Shmuel
21 Gohberg, Israel
19 Van Dooren, Paul M.
18 Kalogeropoulos, Grigoris I.
18 Sergeichuk, Vladimir Vasil’evich
17 de Terán, Fernando
17 Fiedler, Miroslav
17 Ikramov, Saidkhakim Dododshanovich
17 Karcanias, Nicos
16 Lancaster, Peter
16 Metel’skij, A. V.
16 Schneider, Hans
15 Rodman, Leiba X.
15 Zaballa, Ion
14 Kaczorek, Tadeusz
14 Shcheglova, Alla Arkad’evna
13 Hinrichsen, Diederich
13 Kouvaritakis, Basil A.
12 Hershkowitz, Daniel
12 Karlin, Samuel
12 Mehl, Christian
11 Dassios, Ioannis K.
11 Fuhrmann, Paul A.
11 Hartfiel, Darald J.
11 Hartwig, Robert E.
11 Peña, Juan Manuel
11 van den Driessche, Pauline
10 Garloff, Jürgen
10 Malabre, Michel
10 Markham, Thomas L.
10 Oară, Cristian
10 Olesky, D. Dale
9 Cohen, Joel E.
9 Diblík, Josef
9 Dodig, Marija
9 Goluzina, E. G.
9 He, Qi-Ming
9 Kågström, Bo
9 Khusainov, Denis Ya.
9 Loewy, Raphael
9 Mackey, D. Steven
9 Pinkus, Allan M.
8 Berman, Abraham S.
8 Fallat, Shaun M.
8 Fan, Ky
8 Kaashoek, Marinus Adriaan
8 Kazantzis, Nikolaos K.
8 Nagylaki, Thomas
8 Pantelous, Athanasios A.
8 Reis, Timo
8 Silva, Fernando Conceição
8 Van Barel, Marc
8 Vandebril, Raf
8 Vardulakis, Antonis-Ioanis G.
8 Yakovets, V. P.
8 Yakubovich, Vladimir Andreevich
7 Anderson, Brian David Outram
7 Banasiak, Jacek
7 Christodoulou, Manolis A.
7 Gelig, Arkadiĭ Khaimovich
7 Gemignani, Luca
7 Horn, Roger Alan
7 Iwata, Satoru
7 Jury, Eliahu I.
7 Kublanovskaya, Vera Nikolaevna
7 Lampe, Bernhard P.
7 Marek, Ivo
7 Misrikhanov, M. Sh.
7 Riaza, Ricardo
7 Rosenwasser, Efim N.
7 Ryabchenko, Vladimir Nikolaevich
7 Solak, Marek K.
7 Takamatsu, Mizuyo
7 Valcher, Maria Elena
7 Vassiliou, Panagiotis C. G.
6 Barrett, Wayne W.
6 Boĭchuk, Oleksandr Andriĭovych
6 Bourchtein, Andrei
6 Brualdi, Richard Anthony
6 Chistyakov, Viktor Filimonovich
6 Datta, Biswa N.
6 de Seguins Pazzis, Clément
6 Denman, Eugene D.
6 Dette, Holger
6 Đoković, Dragomir Ž.
6 Dmytryshyn, Andrii R.
6 Duran, Antonio J.
6 Helmke, Uwe R.
6 Holtz, Olga
6 Karampetakis, Nicholas P.
6 Lewis, Frank Leroy
6 Leyva-Ramos, Jesus
6 Lovass-Nagy, Victor
6 Mazko, Alexey G.
6 Mertzios, Basil G.
6 Micchelli, Charles A.
6 Mitrouli, Marilena
...and 4,720 more Authors
all top 5

Cited in 542 Serials

749 Linear Algebra and its Applications
171 International Journal of Control
76 Linear and Multilinear Algebra
75 Systems & Control Letters
74 Ukrainian Mathematical Journal
70 Automatica
69 Journal of Applied Mathematics and Mechanics
69 Journal of Mathematical Sciences (New York)
63 Journal of Mathematical Analysis and Applications
62 Journal of Computational and Applied Mathematics
60 Mathematical Notes
59 International Journal of Systems Science
59 Journal of the Franklin Institute
48 Siberian Mathematical Journal
44 Mathematical Biosciences
44 Numerische Mathematik
42 Transactions of the American Mathematical Society
36 Applied Mathematics and Computation
35 Automation and Remote Control
33 Proceedings of the American Mathematical Society
33 Journal of Computer and Systems Sciences International
32 Journal of Algebra
31 Journal of Mathematical Biology
31 Journal of Soviet Mathematics
31 Differential Equations
30 Kybernetika
30 Circuits, Systems, and Signal Processing
29 Integral Equations and Operator Theory
28 Journal of Differential Equations
27 International Journal of Control, I. Series
25 Journal of Optimization Theory and Applications
25 SIAM Journal on Matrix Analysis and Applications
24 Advances in Mathematics
24 Journal of Approximation Theory
23 Computers & Mathematics with Applications
23 Journal of Functional Analysis
23 Cybernetics and Systems Analysis
23 Doklady Mathematics
22 Communications in Mathematical Physics
22 PMM, Journal of Applied Mathematics and Mechanics
21 Theoretical Population Biology
21 Proceedings of the Steklov Institute of Mathematics
19 Israel Journal of Mathematics
19 European Journal of Control
18 Theoretical and Mathematical Physics
18 SIAM Journal on Algebraic and Discrete Methods
18 Nonlinear Oscillations
17 Prikladnaya Matematika i Mekhanika
17 Russian Mathematics
16 Mathematische Zeitschrift
15 Discrete Mathematics
15 Applied Numerical Mathematics
15 MCSS. Mathematics of Control, Signals, and Systems
15 Numerical Algorithms
14 Bulletin of Mathematical Biology
14 Functional Analysis and its Applications
14 Theoretical Computer Science
14 Physica D
14 Journal of Symbolic Computation
14 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
13 Archive for Rational Mechanics and Analysis
13 Physics Letters. A
13 Computational Mathematics and Mathematical Physics
13 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
12 Journal of Mathematical Physics
12 Mathematics of Computation
12 BIT
12 Journal of Pure and Applied Algebra
12 Ergodic Theory and Dynamical Systems
12 Applied Mathematics Letters
12 International Journal of Applied Mathematics and Computer Science
11 Communications in Algebra
11 Soviet Applied Mechanics
11 Mathematical and Computer Modelling
11 European Journal of Operational Research
11 Journal of Elasticity
11 Mathematical Problems in Engineering
10 Computer Methods in Applied Mechanics and Engineering
10 Journal of Computational Physics
10 Reports on Mathematical Physics
10 Journal of Econometrics
10 Multidimensional Systems and Signal Processing
10 Nonlinear Analysis. Theory, Methods & Applications
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 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Archiv der Mathematik
9 Journal of Combinatorial Theory. Series A
9 Monatshefte für Mathematik
9 Acta Applicandae Mathematicae
9 Applied Mathematical Modelling
9 Journal of Difference Equations and Applications
9 ELA. The Electronic Journal of Linear Algebra
8 Discrete Applied Mathematics
8 International Journal of Engineering Science
8 Mathematical Proceedings of the Cambridge Philosophical Society
8 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
8 Journal of Geometry and Physics
...and 442 more Serials
all top 5

Cited in 61 Fields

1,308 Linear and multilinear algebra; matrix theory (15-XX)
1,007 Systems theory; control (93-XX)
606 Ordinary differential equations (34-XX)
583 Numerical analysis (65-XX)
231 Dynamical systems and ergodic theory (37-XX)
219 Biology and other natural sciences (92-XX)
206 Combinatorics (05-XX)
200 Operator theory (47-XX)
196 Probability theory and stochastic processes (60-XX)
186 Partial differential equations (35-XX)
158 Mechanics of particles and systems (70-XX)
139 Computer science (68-XX)
123 Operations research, mathematical programming (90-XX)
122 Functions of a complex variable (30-XX)
107 Mechanics of deformable solids (74-XX)
98 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
93 Approximations and expansions (41-XX)
93 Statistics (62-XX)
83 Calculus of variations and optimal control; optimization (49-XX)
79 Group theory and generalizations (20-XX)
78 Number theory (11-XX)
78 Difference and functional equations (39-XX)
73 Algebraic geometry (14-XX)
71 Differential geometry (53-XX)
66 Real functions (26-XX)
64 Associative rings and algebras (16-XX)
62 Information and communication theory, circuits (94-XX)
60 Quantum theory (81-XX)
53 Nonassociative rings and algebras (17-XX)
50 Fluid mechanics (76-XX)
48 Manifolds and cell complexes (57-XX)
48 Statistical mechanics, structure of matter (82-XX)
47 Harmonic analysis on Euclidean spaces (42-XX)
46 Integral equations (45-XX)
46 Functional analysis (46-XX)
44 Commutative algebra (13-XX)
43 Field theory and polynomials (12-XX)
43 Special functions (33-XX)
39 Topological groups, Lie groups (22-XX)
37 Convex and discrete geometry (52-XX)
32 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 General topology (54-XX)
19 Integral transforms, operational calculus (44-XX)
18 Optics, electromagnetic theory (78-XX)
13 Mathematical logic and foundations (03-XX)
13 Sequences, series, summability (40-XX)
13 Classical thermodynamics, heat transfer (80-XX)
12 History and biography (01-XX)
12 Relativity and gravitational theory (83-XX)
11 Algebraic topology (55-XX)
10 Abstract harmonic analysis (43-XX)
9 General and overarching topics; collections (00-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
7 Geophysics (86-XX)
6 Category theory; homological algebra (18-XX)
3 Potential theory (31-XX)
2 \(K\)-theory (19-XX)
1 Mathematics education (97-XX)

Citations by Year

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