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Bellman, Richard Ernest (b. 1920 d. 1984)

Author ID: bellman.richard-ernest Recent zbMATH articles by "Bellman, Richard Ernest"
Published as: Bellman, Richard; Bellman, R.; Bellman, R. E.; Bellman, Richard E.; Bellman, Richard Ernest; Bellmann, Richard
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
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Co-Authors

283 single-authored
69 Kalaba, Robert E.
30 Vasudevan, Ramabhadra
21 Ueno, Sueo
17 Wing, George Milton
14 Kagiwada, Harriet H.
11 Cooke, Kenneth L.
11 Gross, Oliver
11 Richardson, John M.
10 Glicksberg, Irving Leonard
9 Beckenbach, Edwin Ford
9 Roth, Robert S.
8 Meerkov, Semyon M.
6 Bentsman, Joseph
6 Dreyfus, Stuart E.
6 Lee, E. Stanley
6 Lehman, R. Sherman
5 Karush, William
5 Kashef, B. G.
5 Shapiro, Harold N.
4 Harris, Theodore Edward
4 Kashef, Bayesteh
4 Kotkin, Bella
3 Angel, Edward S.
3 Birkhoff, Garrett
3 Brown, Thomas A.
3 Esogbue, Augustine O.
3 Lockett, J. A.
3 Prestrud, Marcia C.
3 Roosta, Mohammad
3 Zadeh, Lotfi Asker
2 Adomian, George
2 Blackwell, David Harold
2 Casti, John L.
2 Gluss, Brian
2 Soong, T. T.
2 Sugiyama, Hiroshi
1 Abu-Shumays, I. K.
1 Adomian, Gerald E.
1 Alden, J. R.
1 Ammerman, A. J.
1 Aroesty, J.
1 Avula, Xavier J. R.
1 Azen, Stanley P.
1 Barnes, John L.
1 Belykh, Leonid N.
1 Bohnenblust, H. Frederic
1 Brock, Paul
1 Brown, George W.
1 Bucy, Richard Snowden
1 Buell, J. D.
1 Cavalli-Sforza, Luigi Luca
1 Chadwick, A. J.
1 Cherry, Ivan J.
1 Clark, Charles Erwin
1 Courant, Richard
1 Craft, Clifford J.
1 Danskin, John M. jun.
1 Denman, Eugene D.
1 Eighmy, L.
1 Fan, Ky
1 Feit, Walter
1 Fleming, Wendell Helms
1 Forsythe, George E.
1 Fort, Tomlinson
1 Fymat, Alain L.
1 Gerardin, L. A.
1 Giertz, Magnus
1 Hall, Carl Alan
1 Hall, Marshall jun.
1 Hammer, Peter Ladislaw
1 Hestenes, Magnus Rudolph
1 Hodder, James E.
1 Hoffman, Alan J.
1 Holland, John Henry
1 Juncosa, Mario L.
1 Kalabu, Robert
1 Kalman, Rudolf Emil
1 Keene, A. S.
1 Latter, Richard
1 Lattès, R.
1 Lax, Peter David
1 Lefschetz, Solomon
1 Lehmer, Derrick Henry
1 Level, E. C.
1 Lin, Chia-Chiao
1 Ling, Chengcheng
1 Lions, Jacques-Louis
1 Luke, Yudell L.
1 Mac Lane, Leslie Saunders
1 Malcolm, Donald G.
1 Marshak, Robert E.
1 Middleton, David A. J.
1 Moore, Marion E.
1 Morrey, Charles Bradfield jun.
1 Naadimuthu, Govindasami
1 Nabeshima, Ichiro
1 Osborn, Howard Ashley
1 Pennington, Ralph H.
1 Pipes, Louis A.
1 Plog, F.
...and 22 more Co-Authors
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Serials

72 Journal of Mathematical Analysis and Applications
53 Proceedings of the National Academy of Sciences of the United States of America
28 Duke Mathematical Journal
23 Quarterly of Applied Mathematics
18 Mathematical Biosciences
17 Bollettino della Unione Matematica Italiana. Series III
15 Nonlinear Analysis. Theory, Methods & Applications
12 American Mathematical Monthly
12 Proceedings of the American Mathematical Society
11 Bulletin of the American Mathematical Society
9 Communications of the ACM
9 Journal of Mathematics and Mechanics
8 Rendiconti del Circolo Matemàtico di Palermo. Serie II
8 Journal of the Society for Industrial & Applied Mathematics
7 Management Science
6 Operations Research
6 Utilitas Mathematica
6 Annals of Mathematics. Second Series
6 Mathematics in Science and Engineering
4 Computers & Mathematics with Applications
4 Mathematics of Computation
4 Transactions of the American Mathematical Society
4 Ergebnisse der Mathematik und ihrer Grenzgebiete
4 Proceedings of Symposia in Applied Mathematics
4 Series in Modern Applied Mathematics
3 Journal of Computational Physics
3 Journal of Mathematical Physics
3 IEEE Transactions on Automatic Control
3 Information and Control
3 Journal of the Association for Computing Machinery
3 Classics in Applied Mathematics
3 Mathematics and its Applications (Dordrecht)
2 International Journal of Engineering Science
2 Journal of Mathematical and Physical Sciences
2 Mathematics Magazine
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Boletín de la Sociedad Matemática Mexicana. Segunda Serie
2 Computing
2 Econometrica
2 Illinois Journal of Mathematics
2 Information Sciences
2 International Journal of Mathematics and Mathematical Sciences
2 Aequationes Mathematicae
2 SIAM Review
2 Revista de Ciencias, Lima
2 Journal of the Society for Industrial & Applied Mathematics. Series A. Control
1 Houston Journal of Mathematics
1 International Journal of Non-Linear Mechanics
1 Journal of Applied Mechanics
1 Linear and Multilinear Algebra
1 Archiv der Mathematik
1 Canadian Journal of Mathematics
1 Journal of the American Statistical Association
1 Journal of Applied Probability
1 Journal of Differential Equations
1 Journal of Optimization Theory and Applications
1 Jnanabha
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
1 Pacific Journal of Mathematics
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Revista. Serie A. Matematica y Fisica Teorica
1 Stochastic Analysis and Applications
1 Bulletin of the Institute of Mathematics. Academia Sinica
1 Zagadnienia Drgań Nieliniowych
1 Proceedings of the Cambridge Philosophical Society
1 Journal of the London Mathematical Society
1 Naval Research Logistics Quarterly
1 The Philosophical Magazine, VII. Series
1 Physical Review, II. Series
1 SIAM Journal on Control
1 Scripta Mathematica
1 Buletinul Institutului Politehnic din Iași, New Series
1 Management Science. Ser. B, Application Series
1 Mathematical Tables and other Aids to Computation
1 Rivista di Matematica della Università di Parma
1 Sankhyā
1 Unternehmensforschung
1 Journal of Mathematics and Physics
1 Mathematics Series. Texas Tech University
1 New Mathematical Library
1 SIAM-AMS Proceedings
1 Astronautica Acta
1 Lecture Notes in Operations Research and Mathematical Systems
1 Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs and Tracts
1 International Series in Modern Applied Mathematics and Computer Science
1 Mathematics Lecture Note Series
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Fields

59 Operations research, mathematical programming (90-XX)
45 Numerical analysis (65-XX)
44 Ordinary differential equations (34-XX)
43 Calculus of variations and optimal control; optimization (49-XX)
24 Systems theory; control (93-XX)
23 Biology and other natural sciences (92-XX)
22 Partial differential equations (35-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
15 Integral equations (45-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 General and overarching topics; collections (00-XX)
10 Probability theory and stochastic processes (60-XX)
7 Number theory (11-XX)
7 Real functions (26-XX)
7 Approximations and expansions (41-XX)
6 History and biography (01-XX)
6 Difference and functional equations (39-XX)
6 Computer science (68-XX)
6 Mechanics of particles and systems (70-XX)
5 Mathematical logic and foundations (03-XX)
5 Statistics (62-XX)
4 Integral transforms, operational calculus (44-XX)
4 Operator theory (47-XX)
4 Information and communication theory, circuits (94-XX)
3 Fluid mechanics (76-XX)
2 Sequences, series, summability (40-XX)
2 Mechanics of deformable solids (74-XX)
1 Combinatorics (05-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Commutative algebra (13-XX)
1 Group theory and generalizations (20-XX)
1 Potential theory (31-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Astronomy and astrophysics (85-XX)

Publications by Year

Citations contained in zbMATH Open

416 Publications have been cited 13,640 times in 11,491 Documents Cited by Year
Dynamic programming. Zbl 0077.13605
Bellman, Richard
1957
Decision-making in a fuzzy environment. Zbl 0224.90032
Bellman, R. E.; Zadeh, L. A.
1970
Differential-difference equations. Zbl 0105.06402
Bellman, Richard; Cooke, Kenneth L.
955
1963
Quasilinearization and nonlinear boundary-value problems. Zbl 0139.10702
Bellman, R. E.; Kalaba, R.
665
1965
Introduction to matrix analysis. Zbl 0124.01001
Bellman, R.
598
1960
Adaptive control processes: A guided tour. (A RAND Corporation Research Study). Zbl 0103.12901
Bellman, Richard
407
1961
Introduction to matrix analysis. 2nd ed. Zbl 0216.06101
Bellman, R.
381
1970
Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations. Zbl 0247.65061
Bellman, Richard; Kashef, B. G.; Casti, J.
344
1972
Applied dynamic programming. Zbl 0106.34901
Bellman, Richard E.; Dreyfus, Stuart E.
306
1962
On a routing problem. Zbl 0081.14403
Bellman, Richard
295
1958
Differential quadrature and longterm integration. Zbl 0236.65020
Bellman, Richard; Casti, John
263
1971
Stability theory of differential equations. Zbl 0053.24705
Bellman, Richard
221
1953
The stability of solutions of linear differential equations. Zbl 0061.18502
Bellman, Richard
217
1943
Stability and asymptotic theory for linear differential-difference equations. Zbl 0118.08201
Bellman, R.; Cooke, K. L.
213
1960
Boolean methods in operations research and related areas. With a preface by Richard Bellman. Zbl 0155.28001
Hammer, Peter L.; Rudeanu, Sergiu
202
1968
Inequalities. Zbl 0097.26502
Beckenbach, Edwin F.; Bellman, Richard
199
1961
The stability theory of differential difference equations. Zbl 0052.31505
Bellman, R.; Danskin, J. M. jun.
178
1953
Inequalities. Zbl 0128.27401
Beckenbach, E.; Bellman, R.
165
1965
Dynamic programming treatment of the travelling salesman problem. Zbl 0106.14102
Bellman, Richard
147
1962
The method of quasi-reversibility. Applications to partial differential equations. Translated from the French edition and edited by Richard Bellman. Zbl 1220.65002
Lattès, R.; Lions, J.-l.
142
1969
Numerical inversion of the Laplace transform: Applications to biology, economics, engineering, and physics. Zbl 0147.14003
Bellman, R.; Kalaba, R. E.; Lockett, J. A.
133
1966
Inequalities. 4th print. Zbl 0513.26003
Beckenbach, E. F.; Bellman, R.
132
1983
Methods of nonlinear analysis. Vol. II. Zbl 0265.34002
Bellman, Richard
132
1973
Introduction to matrix analysis. 2nd ed., Reprint of the 1970 Orig. Zbl 0872.15003
Bellman, Richard
121
1997
On the analytic formalism of the theory of fuzzy sets. Zbl 0251.02059
Bellman, Richard; Giertz, Magnus
116
1973
A Markovian decision process. Zbl 0078.34101
Bellman, Richard
116
1957
Functional equations in dynamic programming. Zbl 0397.39016
Bellman, Richard; Lee, E. Stanley
113
1978
Asymptotic behavior of solutions of differential-difference equations. Zbl 0115.30102
Bellman, R.; Cooke, K. L.
100
1959
Inequalities. 3rd printing. Zbl 0206.06802
Beckenbach, E. F.; Bellman, R.
100
1971
The theory of dynamic programming. Zbl 0057.12503
Bellman, Richard
100
1954
On the theory of dynamic programming. Zbl 0047.13802
Bellman, Richard
91
1952
Abstraction and pattern classification. Zbl 0134.15305
Bellman, R.; Kalaba, R.; Zadeh, L. A.
80
1966
An introduction to invariant imbedding. Zbl 0325.34001
Bellman, R.; Wing, G. M.
79
1975
An introduction to inequalities. Zbl 0186.09606
Beckenbach, Edwin; Bellman, Richard
79
1961
A brief introduction to theta functions. Zbl 0098.28301
Bellman, Richard
76
1961
Dynamic programming. Reprint of the sixth (1972) edition. Zbl 1029.90076
Bellman, Richard
74
2003
Methods of nonlinear analysis. Vol. 1. Zbl 0204.39901
Bellman, R.
65
1970
Local and fuzzy logics. Zbl 0382.03017
Bellman, R. E.; Zadeh, L. A.
64
1977
Invariant imbedding and radiative transfer in slabs of finite thickness. Zbl 0114.22602
Bellman, R. E.; Kalaba, R. E.; Prestrud, M. C.
59
1963
Introduction to the mathematical theory of control processes. Vol I: Linear equations and quadratic criteria. Zbl 0164.39601
Bellman, R.
59
1967
Quasilinearization and nonlinear boundary-value problems. Translation from the English by I. A. Vatel’ and F. I. Ereshko. Edited by F. L. Chernous’ko. (Квазилинеаризация и нелинейные краевые задачи.) Zbl 0165.18103
Bellman, R. E.; Kalaba, R. E.
57
1968
Vector Lyapunov functions. Zbl 0144.10901
Bellman, Richard
56
1962
On the ”bang-bang” control problem. Zbl 0073.11501
Bellman, R.; Glicksberg, I.; Gross, O.
55
1956
Inequalities. 2nd revised printing. Zbl 0126.28002
Beckenbach, Edwin; Bellman, Richard
51
1965
Differential-difference equations. Translation from the English edition by A. M. Zverkin and G. A. Kamenskiĭ. Edited by L. È. Èl’sgol’ts. (Дифферентиально-разностные уравнения.) Zbl 0163.10501
Bellman, R.; Cooke, K. L.
48
1967
On age-dependent binary branching processes. Zbl 0046.35502
Bellman, Richard; Harris, Theodore
46
1952
Partial differential equations. New methods for their treatment and solution. Zbl 0557.35003
Bellman, Richard; Adomian, George
45
1985
Limit theorems for non-commutative operators. I. Zbl 0057.11202
Bellman, Richard
45
1954
On the computational solution of linear programming problems involving almost-block-diagonal matrices. Zbl 0995.90594
Bellman, Richard
44
1957
Invariant imbedding and mathematical physics. I: Particle processes. Zbl 0105.23202
Bellman, Richard; Kalaba, Robert; Wing, G. Milton
44
1960
Dynamic programming and modern control theory. Zbl 0139.04502
Bellman, R.; Kalaba, R.
44
1966
On the approximation of curves by line segments using dynamic programming. Zbl 0100.12901
Bellman, Richard
42
1961
On the theory of age-dependent stochastic branching processes. Zbl 0041.45604
Bellman, Richard; Harris, Theodore E.
42
1948
Effects of surface tension and viscosity on Taylor instability. Zbl 0057.41503
Bellman, Richard; Pennington, Ralph H.
41
1954
Some aspects of the mathematical theory of control processes. Zbl 0086.11703
Bellman, R. E.; Glicksberg, I.; Gross, O. A.
41
1958
A survez of the mathematical theory of time-lag, retarded control, and hereditary processes. Zbl 0056.36501
Bellman, R.
39
1954
Bottleneck problems and dynamic programming. Zbl 0053.27903
Bellman, Richard
38
1953
Mathematical aspects of scheduling and applications. Zbl 0498.90018
Bellman, R.; Esogbue, A. O.; Nabeshima, I.
36
1982
Introduction to matrix analysis. Reprint of the 1960 Orig. Zbl 0824.15002
Bellman, Richard
32
1995
On a problem in additive number theory. Zbl 0031.25401
Bellman, Richard; Shapiro, Harold N.
32
1948
Invariant imbedding and the numerical integration fo boundary-value problems for unstable linear systems of ordinary differential equation. Zbl 0148.39205
Bellman, R. E.; Kagiwada, H. H.; Kalaba, R. E.
31
1967
Reduction of dimensionality for the potential equation using dynamic programming. Zbl 0261.65073
Angel, E.; Bellman, R.
31
1972
Dynamic programming and partial differential equations. Zbl 0312.49011
Angel, Edward; Bellman, Richard
30
1972
Functional equations in the theory of dynamic programming. V. Positivity and quasi-linearity. Zbl 0066.13802
Bellman, Richard
29
1955
On an inequality concerning an indefinite form. Zbl 0070.27805
Bellman, Richard
29
1956
Dynamic programming and stochastic control processes. Zbl 0085.34901
Bellman, Richard
28
1958
On a new approach to the numerical solution of a class of partial differential integral equations of transport theory. Zbl 0156.16902
Bellman, R.; Kalaba, R.
28
1965
Introduction to the mathematical theory of control processes. Vol. II:Nonlinear processes. Zbl 0214.14501
Bellman, R.
28
1971
Functional approximations and dynamic programming. Zbl 0095.34403
Bellman, Richard; Dreyfus, Stuart
28
1959
Curve fitting by segmented straight lines. Zbl 1302.90239
Bellman, Richard; Roth, Robert
28
1969
On the principle of invariant imbedding and propagation through inhomogeneous media. Zbl 0071.41605
Bellman, Richard; Kalabu, Robert
27
1956
Functional equations in the theory of dynamic programming. XV: Layered functionals and partial differential equations. Zbl 0208.17502
Bellman, R.
27
1969
Invariant imbedding and time-dependent transport processes. Zbl 0138.46502
Bellman, R. E.; Kagiwada, H. H.; Kalaba, R. E.; Prestrud, M. C.
27
1964
Mathematical methods in medicine. Zbl 0527.92004
Bellman, Richard
26
1983
Dynamic programming. With a new introduction by Stuart Dreyfus. Reprint of the 1957 ed. Zbl 1205.90002
Bellman, Richard
26
2010
A problem in the sequential design of experiments. Zbl 0075.14801
Bellman, Richard
26
1956
Stability of fast periodic systems. Zbl 0557.93055
Bellman, Richard; Bentsman, Joseph; Meerkov, Semyon M.
25
1985
Fuzzy dynamic programming and its extensions. Zbl 0546.90104
Esogbue, Augustine O.; Bellman, Richard E.
25
1984
Differential quadrature and splines. Zbl 0335.65023
Bellman, R.; Kashef, Bayesteh; Lee, E. S.; Vasudevan, R.
25
1975
Dynamic programming and Lagrange multipliers. Zbl 0071.14110
Bellman, Richard
25
1956
Functional equations, wave propagation and invariant imbedding. Zbl 0090.45301
Bellmann, Richard; Kalaba, Robert
25
1959
On the fundamental equations of invariant imbedding. I. Zbl 0103.30604
Bellman, Richard; Kalaba, Robert
25
1961
On the computational solution of a class of functional differential equations. Zbl 0138.32103
Bellman, R.; Cooke, K. L.
23
1965
Some inequalities for positive definite matrices. Zbl 0433.15011
Bellman, Richard
22
1980
Selected papers on mathematical trends in control theory. Zbl 0139.04501
Bellman, R.; Kalaba, R.
22
1964
Polynomial approximation. A new computational technique in dynamic programming: Allocation processes. Zbl 0123.37303
Bellman, Richard; Kalaba, Robert; Kotkin, Bella
22
1963
Invariant imbedding and the reduction of two-point boundary value problems to initial value problems. Zbl 0096.14501
Bellman, Richard; Kalaba, Robert; Wing, G. Milton
22
1960
Vibrational control of nonlinear systems: Vibrational stabilizability. Zbl 0611.93054
Bellman, Richard E.; Bentsman, Joseph; Meerkov, Semyon M.
20
1986
Perturbation techniques in mathematics, physics, and engineering. Zbl 0274.34001
Bellman, Richard
20
1972
On an application of a Banach-Steinhaus theorem to the study of the boundedness of solutions of non-linear differential and difference equations. Zbl 0031.39902
Bellman, Richard
20
1948
Dynamic programming and a new formalism in the calculus of variations. Zbl 0058.36303
Bellman, Richard
20
1954
Functional equations in the theory of dynamic programming. VII: A partial differential equation for the Fredholm resolvent. Zbl 0078.09502
Bellman, Richard
20
1957
On the optimal inventory equation. Zbl 0995.90501
Bellman, R.; Glicksberg, I.; Gross, O.
19
1954
An introduction to the theory of dynamic programming. Zbl 0051.37402
Bellman, Richard
19
1953
A note on a theorem of Hardy on Fourier constants. Zbl 0060.18404
Bellman, Richard
19
1944
Modern mathematics for the engineer. Zbl 0071.04603
19
1956
On a dynamic programming approach to the caterer problem. I. Zbl 0995.90618
Bellman, Richard
18
1957
On systems of linear inequalities in Hermitian matrix variables. Zbl 0148.26001
Bellman, R.; Fan, K.
18
1963
On the computational solution of differential-difference equations. Zbl 0098.31603
Bellman, Richard
16
1961
On a new functional transform in analysis. The maximum transform. Zbl 0103.09701
Bellman, Richard; Karush, William
15
1961
Dynamic programming. With a new introduction by Stuart Dreyfus. Reprint of the 1957 ed. Zbl 1205.90002
Bellman, Richard
26
2010
Dynamic programming. Reprint of the sixth (1972) edition. Zbl 1029.90076
Bellman, Richard
74
2003
Perturbation techniques in mathematics, engineering and physics. Reprint of the 1966 ed. Reprint of the 1964 original (Holt, Rinehart and Winston). Zbl 1099.34001
Bellman, Richard
9
2003
Introduction to matrix analysis. 2nd ed., Reprint of the 1970 Orig. Zbl 0872.15003
Bellman, Richard
121
1997
Introduction to matrix analysis. Reprint of the 1960 Orig. Zbl 0824.15002
Bellman, Richard
32
1995
An introduction to invariant imbedding. Unabr., corr. republ. of the orig. 1975. Zbl 0772.76003
Bellman, Richard Ernest; Wing, George Milton
2
1992
Mathematical methods in medicine. (Matematicheskie methody v meditsine). Transl. from the English by A. L. Asachenkov and N. A. Shal’novaya. Transl. ed. and with a preface by L. N. Belykh. Zbl 0666.92001
Bellman, R.
2
1987
Vibrational control of nonlinear systems: Vibrational stabilizability. Zbl 0611.93054
Bellman, Richard E.; Bentsman, Joseph; Meerkov, Semyon M.
20
1986
Vibrational control of nonlinear systems: Vibrational controllability and transient behavior. Zbl 0623.93058
Bellman, Richard E.; Bentsman, Joseph; Meerkov, Semyon M.
8
1986
Methods in approximation. Techniques for mathematical modelling. Zbl 0597.41001
Bellman, Richard E.; Roth, Robert S.
6
1986
Wave propagation. An invariant imbedding approach. Zbl 0645.65054
Bellman, Richard; Vasudevan, Ramabhadra
3
1986
The Bellman continuum. A collection of the works of Richard E. Bellman. Ed. by Robert S. Roth. Zbl 0612.01026
Bellman, Richard E.
2
1986
Partial differential equations. New methods for their treatment and solution. Zbl 0557.35003
Bellman, Richard; Adomian, George
45
1985
Stability of fast periodic systems. Zbl 0557.93055
Bellman, Richard; Bentsman, Joseph; Meerkov, Semyon M.
25
1985
On vibrational stabilizability of nonlinear systems. Zbl 0548.93063
Bellman, R.; Bentsman, J.; Meerkov, S. M.
5
1985
Fuzzy dynamic programming and its extensions. Zbl 0546.90104
Esogbue, Augustine O.; Bellman, Richard E.
25
1984
Eye of the hurricane. An autobiography. Zbl 0566.01008
Bellman, Richard
9
1984
The Laplacian transform. Zbl 1522.44001
Bellman, Richard E.; Roth, Robert S.
6
1984
Biological system interactions. Zbl 0534.92003
Adomian, G.; Adomian, G. E.; Bellman, R. E.
5
1984
Differential quadrature and partial differential equations: Some numerical results. Zbl 0521.65089
Naadimuthu, G.; Bellman, R.; Wang, K. M.; Lee, E. S.
3
1984
Inequalities. 4th print. Zbl 0513.26003
Beckenbach, E. F.; Bellman, R.
132
1983
Mathematical methods in medicine. Zbl 0527.92004
Bellman, Richard
26
1983
Quasilinearization and the identification problem. Zbl 0565.93015
Bellman, Richard; Roth, Robert
10
1983
Vibrational control of systems with Arrhenius dynamics. Zbl 0525.93034
Bellman, Richard; Bentsman, Joseph; Meerkov, Semyon M.
7
1983
Nonlinear systems with fast parametric oscillations. Zbl 0531.34024
Bellman, Richard; Bentsman, Joseph; Meerkov, Semyon M.
3
1983
On the calculation of matrix exponential. Zbl 0574.65036
Bellman, Richard
3
1983
Mathematical aspects of scheduling and applications. Zbl 0498.90018
Bellman, R.; Esogbue, A. O.; Nabeshima, I.
36
1982
A technique for the reduction of dimensionality in dynamic programming. Zbl 0498.90079
Bellman, Richard; Roosta, Mohammad
13
1982
Contributions to fuzzy dynamic programming. Zbl 0505.90079
Esogbue, Augustine O.; Bellman, Richard E.
4
1982
On the Ito equation. Zbl 0484.60054
Adomian, G.; Bellman, R. E.
3
1982
The largest and the smallest characteristic roots of a positive definite matrix. Zbl 0493.15015
Bellman, Richard
2
1982
American mathematical heritage: algebra and applied mathematics. Zbl 0461.01001
3
1981
Some inequalities for positive definite matrices. Zbl 0433.15011
Bellman, Richard
22
1980
Analytic number theory. An introduction. Zbl 0448.10001
Bellman, Richard
7
1980
The stochastic Riccati equation. Zbl 0447.60044
Bellman, R.; Adomian, G.
6
1980
Selective computation. III: Linear differential equations with constant coefficients. Zbl 0464.65047
Bellman, Richard
3
1980
Proceedings of the second international conference on mathematical modelling, St. Louis, Missouri, July 11-13, 1979. Volumes I, II. Zbl 0541.00018
2
1980
Systems identification with partial information. Zbl 0427.93016
Bellman, Richard; Roth, Robert S.
11
1979
A scanning technique for systems identification. Zbl 0419.93023
Bellman, Richard E.; Roth, Robert S.
5
1979
Selective computation. V: The largest characteristic root of a matrix. Zbl 0495.65012
Bellman, Richard
2
1979
Monotone operators and nonlinear equations. Zbl 0418.47027
Bellman, Richard
2
1979
Selective computation. VI: Stiff differential equations. Zbl 0495.65034
Bellman, Richard
1
1979
On the evaluation of determinants. Zbl 0406.15003
Bellman, Richard
1
1979
Functional equations in dynamic programming. Zbl 0397.39016
Bellman, Richard; Lee, E. Stanley
113
1978
Quasi-linearization and the matrix Riccati equation. Zbl 0382.34008
Bellman, R.; Vasudevan, R.
10
1978
Selective computation. I: Linear algebraic systems. Zbl 0495.65011
Bellman, Richard
1
1978
Local and fuzzy logics. Zbl 0382.03017
Bellman, R. E.; Zadeh, L. A.
64
1977
On the positivity of determinants with dominant main diagonal. Zbl 0356.15004
Bellman, Richard
2
1977
An introduction to invariant imbedding. Zbl 0325.34001
Bellman, R.; Wing, G. M.
79
1975
Differential quadrature and splines. Zbl 0335.65023
Bellman, R.; Kashef, Bayesteh; Lee, E. S.; Vasudevan, R.
25
1975
Solving hard problems by easy methods: differential and integral quadrature. Zbl 0326.65052
Bellman, Richard; Kashef, Bayesteh; Lee, E. Stanley; Vasudevan, R.
3
1975
On the generalizations of Bremmer series solutions of wave equations. Zbl 0318.65051
Bellman, R.; Vasudevan, R.
2
1975
Invariant imbedding and radiation dosimetry. X: Intensity of finite order scattered gamma radiation emergent from a target slab with internal sources. Zbl 0298.92004
Bellman, R.; Vasudevan, R.; Ueno, S.
1
1975
Solution of the partial differential equation of the Hodgkin-Huxley model using differential quadrature. Zbl 0273.65088
Kashef, Bayesteh; Bellman, Richard
11
1974
The inverse problem of estimating heart parameters from cardiograms. Zbl 0276.92011
Bellman, R.; Kashef, B.; Vasudevan, R.
8
1974
Invariant imbedding and the resolvent of Fredholm integral equations with variable parameters. Zbl 0273.45002
Bellman, R.; Ueno, S.
5
1974
Applications of dynamic programming and scan-rescan processes to nuclear medicine and tumor detection. Zbl 0285.92011
Bellman, R.; Sugiyama, H.; Kashef, B.
5
1974
Wave equation with sources, invariant imbedding, and Bremmer series solutions. Zbl 0289.34013
Bellman, R.; Vasudevan, R.
5
1974
Invariant imbedding and radiation dosimetry. VIII: Reflection function from a double layer - finite order functions. Zbl 0291.92008
Bellman, R.; Ueno, S.; Vasudevan, R.
4
1974
Mean square spline approximation. Zbl 0271.65009
Bellman, R.; Kashef, B.; Vasudevan, R.
2
1974
Dynamic programming and partial differential equations. (Dinamiceskoe programmirovanie i uravnenija v castnyh proizvodnyh.) Übersetzung aus dem Englischen von S. P. Cebotarev. Herausgegeben von A. M. Letov. Zbl 0285.65002
Bellman, Richard; Angel, Edward
2
1974
Invariant imbedding and radiation dosimetry. IX: Inverse problem of determining a plane source in a finite isotropically scattering target slab. Zbl 0291.92009
Bellman, R.; Fymat, A. L.; Ueno, S.; Vasudevan, R.
1
1974
Methods of nonlinear analysis. Vol. II. Zbl 0265.34002
Bellman, Richard
132
1973
On the analytic formalism of the theory of fuzzy sets. Zbl 0251.02059
Bellman, Richard; Giertz, Magnus
116
1973
A note on cluster analysis and dynamic programming. Zbl 0277.49010
Bellman, Richard
8
1973
Time dependent scattering processes and invariant imbedding. Zbl 0263.35008
Bellman, Richard
7
1973
Invariant imbedding and the resolvent of Fredholm integral equation with composite symmetric kernel. Zbl 0267.45003
Bellman, Richard; Ueno, Sueo
4
1973
Invariant imbedding and radiation dosimetry. IV: Finite order scattering of gamma radiation by a target slab. Zbl 0272.92004
Bellman, R.; Ueno, S.; Vasudevan, R.
4
1973
Invariant imbedding and the resolvent of Fredholm integral equations with semi-degenerate kernels. Zbl 0267.45004
Bellman, R.; Ueno, S.
3
1973
On the matrix Riccati equation of transport processes. Zbl 0271.34026
Bellman, R.; Ueno, S.; Vasudevan, R.
3
1973
Invariant imbedding and radiation dosimetry. VI: Absorbed dose of X and gamma rays in a target slab. Zbl 0274.92002
Ueno, S.; Vasudevan, R.; Bellman, R.
3
1973
Invariant imbedding and radiation dosimetry. V: Finite order intensity of radiation in a target slab. Zbl 0274.92001
Ueno, S.; Vasudevan, R.; Bellman, R.
3
1973
Dynamic programming and bicubic spline interpolation. Zbl 0269.65007
Bellman, R.; Kashef, B.; Vasudevan, R.
2
1973
Invariant imbedding and radiation dosimetry. VII: Finite order scattering and transmission functions of the two radiation approximations in a target slab. Zbl 0274.92003
Bellman, R.; Ueno, S.; Vasudevan, R.
1
1973
Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations. Zbl 0247.65061
Bellman, Richard; Kashef, B. G.; Casti, J.
344
1972
Reduction of dimensionality for the potential equation using dynamic programming. Zbl 0261.65073
Angel, E.; Bellman, R.
31
1972
Dynamic programming and partial differential equations. Zbl 0312.49011
Angel, Edward; Bellman, Richard
30
1972
Perturbation techniques in mathematics, physics, and engineering. Zbl 0274.34001
Bellman, Richard
20
1972
Invariant imbedding and radiation dosimetry: Finite order scattering and transmission function. Zbl 0286.92004
Bellman, R.; Ueno, S.; Vasudevan, R.
13
1972
Splines via dynamic programming. Zbl 0241.41006
Bellman, R.; Kashef, B. G.; Vasudevan, R.
12
1972
Invariant imbedding and radiation dosimetry. II: Integral recurrence relations for the finite order scattering and transmission functions. Zbl 0245.92006
Bellman, R.; Ueno, S.; Vasudevan, R.
8
1972
Invariant imbedding and radiation dosimetry. III: Integral recurrence relations for finite order X and Y functions. Zbl 0246.92005
Bellman, R.; Ueno, S.; Vasudevan, R.
6
1972
On moment behavior of a class of stochastic difference equations. Zbl 0244.60051
Bellman, R.; Soong, T. T.; Vasudevan, R.
6
1972
Topics in pharmacokinetics. IV: Approximation in process space and fitting by sums of exponentials. Zbl 0232.92003
Bellman, Richard
3
1972
Quasilinearization and stability of nonlinear stochastic systems. Zbl 0243.34106
Bellman, R.; Soong, T. T.; Vasudevan, R.
3
1972
A useful approximation to \(e^{-t^2}\). Zbl 0258.65015
Bellman, Richard; Kashef, B. G.; Vasudevan, R.
3
1972
Hierarchies of control processes and the evolution of consciousness. Zbl 0254.92004
Bellman, Richard
2
1972
Invariant imbedding and a nonlinear scattering process. Zbl 0276.34020
Bellman, Richard
1
1972
Differential quadrature and longterm integration. Zbl 0236.65020
Bellman, Richard; Casti, John
263
1971
Inequalities. 3rd printing. Zbl 0206.06802
Beckenbach, E. F.; Bellman, R.
100
1971
Introduction to the mathematical theory of control processes. Vol. II:Nonlinear processes. Zbl 0214.14501
Bellman, R.
28
1971
The use of splines with unknown end points in the identification of systems. Zbl 0217.11601
Bellman, R.; Roth, R. S.
12
1971
Invariant imbedding. Proceedings of the summer workshop on invariant imbedding, held at the University of Southern California, June-August 1970. Zbl 0217.29801
9
1971
Functional equations in the theory of dynamic programming. XVIII: A problem connected with the value of information. Zbl 0218.49012
Bellman, R.
6
1971
Decision-making in a fuzzy environment. Zbl 0224.90032
Bellman, R. E.; Zadeh, L. A.
1970
Introduction to matrix analysis. 2nd ed. Zbl 0216.06101
Bellman, R.
381
1970
Methods of nonlinear analysis. Vol. 1. Zbl 0204.39901
Bellman, R.
65
1970
Dynamic programming and problem-solving. Zbl 0208.17501
Bellman, R.
14
1970
Truncation and preservation of moment properties for Fokker-Planck moment equations. Zbl 0207.40002
Wilcox, R. M.; Bellman, R.
8
1970
Functional equation in the theory of dynamic programming. XVI: An equation involving iterates. Zbl 0199.47903
Bellman, R.
7
1970
...and 316 more Documents
all top 5

Cited by 14,979 Authors

144 Bellman, Richard Ernest
103 Kalaba, Robert E.
38 Kagiwada, Harriet H.
38 Sakawa, Masatoshi
34 Ueno, Sueo
32 Kadalbajoo, Mohan K.
32 Lee, E. Stanley
30 Wang, Wusheng
30 Yager, Ronald R.
29 Vasudevan, Ramabhadra
26 Agarwal, Ravi P.
26 Chentsov, Aleksandr Georgievich
26 Wang, Chung-Lie
24 Lakshmikantham, Vangipuram
24 Spingarn, Karl
23 Dragomir, Sever Silvestru
23 Iwamoto, Seiichi
21 Cooke, Kenneth L.
21 Dubois, Didier
21 Grygorenko, Yaroslav Mykhaĭlovych
21 Kharitonov, Vladimir Leonidovich
20 Mittal, Ramesh Chand
20 Pachpatte, Baburao Govindrao
20 Yoshida, Yuji
19 de la Sen, Manuel
19 Jiwari, Ram
19 Niculescu, Silviu-Iulian
19 Wu, Hsien-Chung
18 Verdegay, José Luis
18 Zhao, Changjian
17 Adomian, George
16 Bashan, Ali
16 Cahlon, Baruch
16 Grebenshchikov, Boris Georgievich
16 Roy, Tapan Kumar
16 Mondié, Sabine
16 Pedrycz, Witold
16 Prade, Henri M.
16 Reddy, Yanala Narsimha
16 Wing, George Milton
16 Zhong, Hongzhi
15 Cheung, Wingsum
15 Esogbue, Augustine O.
15 Shu, Chang
15 Szidarovszky, Ferenc P.
15 Zimmermann, Hans-Jürgen
14 Alzer, Horst
14 Bellomo, Nicola
14 Gyori, Istvan
14 Liu, Zeqing
14 Martynyuk, Anatoliĭ Andriĭovych
14 Saeed, Umer
14 Sanguineti, Marcello
13 Casti, John L.
13 Golberg, Michael A.
13 Kang, Shin Min
13 Maiti, Manoranjan
13 Mitrokhin, Sergeĭ Ivanovich
13 Nieto Roig, Juan Jose
13 Partington, Jonathan R.
13 Pečarić, Josip
13 Stević, Stevo
13 Tomasiello, Stefania
12 Abo-Sinna, Mahmoud A.
12 Banks, Harvey Thomas
12 Bortakovskii, A. S.
12 Chentsov, Alekseĭ Aleksandrovich
12 Dehghan Takht Fooladi, Mehdi
12 Inuiguchi, Masahiro
12 Kacprzyk, Janusz
12 Krasovskiĭ, Nikolaĭ Nikolaevich
12 Razzaghi, Mohsen
12 Subbotina, Nina N.
11 Boussaada, Islam
11 Chen, Changnew
11 Distefano, Nestor
11 Galperin, Efim A.
11 Jentzen, Arnulf
11 Korkmaz, Alper
11 Liew, Kim Meow
11 Mode, Charles J.
11 Nishizaki, Ichiro
11 Ojika, Takeo
11 Sirbiladze, Gia Guram
11 Tian, Jingfeng
11 Wang, Alan Ping-I
11 Wang, Xinwei
11 Yong, Jiongmin
11 Yurko, Vjacheslav Anatoljevich
10 Abbas, Mujahid
10 Chen, Xiaohong
10 Chuĭko, Sergeĭ Mikhaĭlovich
10 Czogała, Ernest
10 Dağ, İdris
10 Diblík, Josef
10 Eldeeb, Ahmed Abdel-Moneim
10 Hale, Jack Kenneth
10 Jiang, Zhong-Ping
10 Jódar Sanchez, Lucas Antonio
10 Juang, Jonq
...and 14,879 more Authors
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Cited in 969 Serials

949 Journal of Mathematical Analysis and Applications
366 Fuzzy Sets and Systems
349 European Journal of Operational Research
326 Applied Mathematics and Computation
222 Automatica
219 Computers & Mathematics with Applications
218 Journal of Optimization Theory and Applications
142 Linear Algebra and its Applications
139 Information Sciences
137 Journal of Computational and Applied Mathematics
132 Mathematical Biosciences
131 Applied Mathematical Modelling
115 Journal of Differential Equations
112 Journal of the Franklin Institute
108 International Journal of Control
90 Systems & Control Letters
90 Computers & Operations Research
86 International Journal of Systems Science
85 Mathematical and Computer Modelling
83 Journal of Mathematical Sciences (New York)
80 Nonlinear Analysis. Theory, Methods & Applications
79 Proceedings of the American Mathematical Society
77 Computer Methods in Applied Mechanics and Engineering
73 Automation and Remote Control
67 Ukrainian Mathematical Journal
65 International Journal of Control, I. Series
63 Journal of Inequalities and Applications
62 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
60 Journal of Computational Physics
60 Annals of Operations Research
54 Mathematical Problems in Engineering
53 Journal of Applied Mathematics and Mechanics
53 International Journal of Computer Mathematics
50 Differential Equations
48 Mathematical Methods in the Applied Sciences
47 Journal of Computer and Systems Sciences International
44 Journal of Mathematical Biology
44 Abstract and Applied Analysis
44 Communications in Nonlinear Science and Numerical Simulation
42 Mathematics and Computers in Simulation
42 Cybernetics and Systems Analysis
41 Mathematical Notes
41 Opsearch
40 Artificial Intelligence
40 Theoretical Population Biology
39 International Journal of Approximate Reasoning
38 International Journal of Engineering Science
38 International Journal of Robust and Nonlinear Control
37 Acta Mechanica
37 Kybernetika
36 Czechoslovak Mathematical Journal
36 Transactions of the American Mathematical Society
35 Aplikace Matematiky
35 Theoretical Computer Science
35 Applied Numerical Mathematics
35 Journal of Economic Dynamics & Control
35 Engineering Analysis with Boundary Elements
35 Journal of Applied Mathematics
35 Advances in Difference Equations
34 Applied Mathematics Letters
34 Soft Computing
33 International Journal for Numerical Methods in Engineering
33 Journal of Statistical Planning and Inference
33 Fuzzy Optimization and Decision Making
32 Operations Research Letters
32 Pattern Recognition
32 Russian Mathematics
31 Discrete Applied Mathematics
31 Proceedings of the Steklov Institute of Mathematics
30 Numerische Mathematik
30 Computational Statistics and Data Analysis
30 International Applied Mechanics
29 Chaos, Solitons and Fractals
29 Soviet Applied Mechanics
29 Journal of Global Optimization
29 Numerical Algorithms
29 Computational and Applied Mathematics
29 Nonlinear Dynamics
28 SIAM Journal on Control and Optimization
28 Journal of Theoretical Biology
28 International Journal of Applied and Computational Mathematics
27 Mathematics of Computation
27 Annali di Matematica Pura ed Applicata. Serie Quarta
27 Journal of Economic Theory
27 Optimal Control Applications & Methods
27 Physica D
26 Kybernetes
26 Siberian Mathematical Journal
26 Mathematical Programming. Series A. Series B
26 Journal of Intelligent and Fuzzy Systems
26 Naval Research Logistics Quarterly
25 Applicable Analysis
25 Information Processing Letters
25 Journal of Mathematical Physics
24 Meccanica
24 Computational Mathematics and Mathematical Physics
24 Stochastic Processes and their Applications
24 Optimization Letters
23 Linear and Multilinear Algebra
23 Physica A
...and 869 more Serials
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Cited in 62 Fields

2,574 Operations research, mathematical programming (90-XX)
1,837 Ordinary differential equations (34-XX)
1,647 Numerical analysis (65-XX)
1,647 Systems theory; control (93-XX)
995 Calculus of variations and optimal control; optimization (49-XX)
940 Computer science (68-XX)
939 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
785 Partial differential equations (35-XX)
666 Probability theory and stochastic processes (60-XX)
622 Biology and other natural sciences (92-XX)
613 Statistics (62-XX)
508 Mechanics of deformable solids (74-XX)
487 Real functions (26-XX)
374 Fluid mechanics (76-XX)
363 Linear and multilinear algebra; matrix theory (15-XX)
350 Mathematical logic and foundations (03-XX)
318 Operator theory (47-XX)
289 Integral equations (45-XX)
213 Information and communication theory, circuits (94-XX)
196 Combinatorics (05-XX)
186 Difference and functional equations (39-XX)
182 Dynamical systems and ergodic theory (37-XX)
141 Mechanics of particles and systems (70-XX)
124 Number theory (11-XX)
121 Approximations and expansions (41-XX)
110 Functional analysis (46-XX)
106 Statistical mechanics, structure of matter (82-XX)
99 Harmonic analysis on Euclidean spaces (42-XX)
96 General topology (54-XX)
93 Quantum theory (81-XX)
83 Integral transforms, operational calculus (44-XX)
81 Special functions (33-XX)
80 Classical thermodynamics, heat transfer (80-XX)
58 Functions of a complex variable (30-XX)
53 Convex and discrete geometry (52-XX)
51 Measure and integration (28-XX)
42 History and biography (01-XX)
39 Optics, electromagnetic theory (78-XX)
33 Differential geometry (53-XX)
32 Geophysics (86-XX)
30 Astronomy and astrophysics (85-XX)
28 General and overarching topics; collections (00-XX)
26 Order, lattices, ordered algebraic structures (06-XX)
22 Global analysis, analysis on manifolds (58-XX)
14 Manifolds and cell complexes (57-XX)
13 Algebraic geometry (14-XX)
12 Topological groups, Lie groups (22-XX)
12 Potential theory (31-XX)
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9 Field theory and polynomials (12-XX)
9 Relativity and gravitational theory (83-XX)
8 General algebraic systems (08-XX)
8 Category theory; homological algebra (18-XX)
8 Algebraic topology (55-XX)
7 Sequences, series, summability (40-XX)
6 Associative rings and algebras (16-XX)
6 Mathematics education (97-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Abstract harmonic analysis (43-XX)
4 Nonassociative rings and algebras (17-XX)
2 Commutative algebra (13-XX)

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