Edit Profile (opens in new tab) Kalaba, Robert E. Compute Distance To: Compute Author ID: kalaba.robert-e Published as: Kalaba, R.; Kalaba, Robert; Kalaba, R. E.; Kalaba, Robert E. more...less External Links: MGP · dblp Documents Indexed: 316 Publications since 1956, including 14 Books Biographic References: 6 Publications Co-Authors: 71 Co-Authors with 288 Joint Publications 862 Co-Co-Authors all top 5 Co-Authors 14 single-authored 72 Kagiwada, Harriet H. 69 Bellman, Richard Ernest 38 Spingarn, Karl 32 Udwadia, Firdaus E. 22 Zagustin, Elena A. 16 Ueno, Sueo 14 Tesfatsion, Leigh 12 Wing, George Milton 11 Rasakhoo, Nima 10 Casti, John L. 9 Tishler, Asher 8 Natsuyama, Harriet H. 8 Scott, Melvin R. 8 Xu, Rong 7 Buell, J. D. 7 Moore, James E. II 7 Ruspini, Enrique Hector 6 Fan, Yueyue 6 Huss, Ronald E. 6 Schumitzky, Alan 5 Tsokos, Christos P. 3 Itiki, Cinthia 3 Kotkin, Bella 3 Lockett, J. A. 3 Marsh, Donald J. 3 Prestrud, Marcia C. 3 Vasudevan, Ramabhadra 3 Vereeke, B. J. 3 Wang, Jiasong 2 Juncosa, Mario L. 2 Mease, Kenneth D. 2 Meier, George 2 Niedercorn, John H. 2 Seo, Jong-Gook 2 Taylor, Grant A. 2 Wang, Jone-Lin 2 Wexler, Anthony S. 2 Zagustina, E. A. 1 Akbari, Alireza 1 Alspaugh, Dale W. 1 Aroesty, J. 1 Bergman, R. N. 1 Chu, A. T. W. 1 Cooke, Kenneth L. 1 Detchmendy, D. M. 1 Eun, Hee-Chang 1 Gu, Mu 1 Haynie, Susan P. 1 Helms, Jay 1 Holbrow, W. 1 Holland, John Henry 1 Ider, Z. 1 Jelliffe, R. 1 Kagiwada, Julia K. 1 Kandoole, Benson F. 1 Lichtenstein, Z. 1 Luk, S. K. M. 1 Middleton, David A. J. 1 Nashed, M. Zuhair 1 Phohomsiri, Phailaung 1 Plum, Thomas 1 Richarson, J. M. 1 Simchony, Tal 1 Tesfatsion, L. S. 1 Thomas, Yves 1 Timko, Steve 1 Wu, Ying 1 Yakush, A. 1 Yamashiro, S. M. 1 Yang, Chung-Chun 1 Zadeh, Lotfi Asker all top 5 Serials 58 Journal of Optimization Theory and Applications 38 Applied Mathematics and Computation 21 Computers & Mathematics with Applications 18 Proceedings of the National Academy of Sciences of the United States of America 16 Journal of Mathematical Analysis and Applications 10 Nonlinear Analysis. Theory, Methods & Applications 8 International Journal of Engineering Science 8 Journal of the Franklin Institute 8 Journal of Mathematics and Mechanics 7 Journal of Mathematical Physics 7 Communications of the ACM 5 Journal of Computational Physics 4 International Journal of Non-Linear Mechanics 4 Journal of Applied Mechanics 4 Mathematical Biosciences 4 Information Sciences 4 Quarterly of Applied Mathematics 3 Journal of Mathematical and Physical Sciences 3 Computational Statistics and Data Analysis 2 Applicable Analysis 2 International Journal of General Systems 2 Mathematics of Computation 2 IEEE Transactions on Automatic Control 2 Journal of Approximation Theory 2 Journal of the Association for Computing Machinery 2 Journal of Economic Dynamics & Control 2 International Journal of Computer Mathematics 2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 2 Computers and Mathematics with Applications. Part A 2 Mathematical Modelling and Scientific Computing 2 Nonlinear World 2 Mathematical Concepts and Methods in Science and Engineering 1 American Mathematical Monthly 1 IEEE Transactions on Information Theory 1 Journal of Applied Mathematics and Mechanics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Boletín de la Sociedad Matemática Mexicana. Segunda Serie 1 Calcolo 1 Computing 1 Differentsial’nye Uravneniya 1 Information and Control 1 International Journal for Numerical Methods in Engineering 1 Management Science 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Operations Research 1 Proceedings of the American Mathematical Society 1 1 Mathematical and Computer Modelling 1 Computer Science in Economics and Management 1 IEEE Transactions on Systems, Man, and Cybernetics 1 Journal of Elasticity 1 Computers and Mathematics with Applications. Part B 1 Mathematical Problems in Engineering 1 Bulletin of the American Mathematical Society 1 Journal of the Society for Industrial & Applied Mathematics 1 Journal of Cybernetics all top 5 Fields 101 Numerical analysis (65-XX) 45 Integral equations (45-XX) 41 Systems theory; control (93-XX) 36 Operations research, mathematical programming (90-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 27 Ordinary differential equations (34-XX) 27 Mechanics of particles and systems (70-XX) 23 Statistics (62-XX) 16 Mechanics of deformable solids (74-XX) 15 Biology and other natural sciences (92-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 5 Astronomy and astrophysics (85-XX) 4 Partial differential equations (35-XX) 4 Probability theory and stochastic processes (60-XX) 4 Fluid mechanics (76-XX) 3 Computer science (68-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 247 Publications have been cited 2,684 times in 1,750 Documents Cited by ▼ Year ▼ Quasilinearization and nonlinear boundary-value problems. Zbl 0139.10702Bellman, R. E.; Kalaba, R. 582 1965 Numerical inversion of the Laplace transform: Applications to biology, economics, engineering, and physics. Zbl 0147.14003Bellman, R.; Kalaba, R. E.; Lockett, J. A. 111 1966 A comparison of two methods for determining the weights of belonging to fuzzy sets. Zbl 0377.94002Chu, A. T. W.; Kalaba, R. E.; Spingarn, K. 72 1979 Abstraction and pattern classification. Zbl 0134.15305Bellman, R.; Kalaba, R.; Zadeh, L. A. 71 1966 On nonlinear differential equations, the maximum operation, and monotone convergence. Zbl 0092.07703Kalaba, Robert 62 1959 A new perspective on constrained motion. Zbl 0766.70011Udwadia, Firdaus E.; Kalaba, Robert E. 59 1992 Invariant imbedding and radiative transfer in slabs of finite thickness. Zbl 0114.22602Bellman, R. E.; Kalaba, R. E.; Prestrud, M. C. 57 1963 Imbedding methods in applied mathematics. Zbl 0265.65001Casti, John; Kalaba, Robert 53 1973 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 0165.18103Bellman, R. E.; Kalaba, R. E. 52 1968 Response to Bucy’s comment on a paper by Udwadia and Kalaba. Zbl 0875.70100Udwadia, F. E.; Kalaba, R. E. 45 1996 Invariant imbedding and mathematical physics. I: Particle processes. Zbl 0105.23202Bellman, Richard; Kalaba, Robert; Wing, G. Milton 40 1960 Dynamic programming and modern control theory. Zbl 0139.04502Bellman, R.; Kalaba, R. 39 1966 Integral equations via imbedding methods. Zbl 0331.45001Kagiwada, Harriet H.; Kalaba, Robert 39 1974 On the foundations of analytical dynamics. Zbl 1346.70011Udwadia, F. E.; Kalaba, R. E. 29 2002 Invariant imbedding and the numerical integration fo boundary-value problems for unstable linear systems of ordinary differential equation. Zbl 0148.39205Bellman, R. E.; Kagiwada, H. H.; Kalaba, R. E. 27 1967 On a new approach to the numerical solution of a class of partial differential integral equations of transport theory. Zbl 0156.16902Bellman, R.; Kalaba, R. 26 1965 Invariant imbedding and time-dependent transport processes. Zbl 0138.46502Bellman, R. E.; Kagiwada, H. H.; Kalaba, R. E.; Prestrud, M. C. 25 1964 What is the general form of the explicit equations of motion for constrained mechanical systems? Zbl 1110.74718Udwadia, F. E.; Kalaba, R. E. 24 2002 Functional equations, wave propagation and invariant imbedding. Zbl 0090.45301Bellmann, Richard; Kalaba, Robert 24 1959 On the fundamental equations of invariant imbedding. I. Zbl 0103.30604Bellman, Richard; Kalaba, Robert 24 1961 Analytical dynamics. A new approach. Zbl 1106.70322Udwadia, Firdaus E.; Kalaba, Robert E. 23 1995 Control, identification, and input optimization. Zbl 0549.93015Kalaba, Robert; Spingarn, Karl 23 1982 An alternative proof of the Greville formula. Zbl 0893.65020Udwadia, F. E.; Kalaba, R. E. 22 1997 The invariant imbedding numerical method for Fredholm integral equations with degenerate kernels. Zbl 0176.16102Kagiwada, H. H.; Kalaba, R. E.; Vereeke, B. J. 22 1968 Invariant imbedding and the reduction of two-point boundary value problems to initial value problems. Zbl 0096.14501Bellman, Richard; Kalaba, Robert; Wing, G. Milton 20 1960 Polynomial approximation. A new computational technique in dynamic programming: Allocation processes. Zbl 0123.37303Bellman, Richard; Kalaba, Robert; Kotkin, Bella 19 1963 An initial-value theory for Fredholm integral equations with semidegenerate kernels. Zbl 0211.47601Kagiwada, H. H.; Kalaba, R. 19 1970 Explicit equations of motion for mechanical systems with nonideal constraints. Zbl 1110.74717Udwadia, F. E.; Kalaba, R. E. 18 2001 Arriving on time. Zbl 1130.90410Fan, Y. Y.; Kalaba, R. E.; Moore, J. E. 17 2005 General forms for the recursive determination of generalized inverses: Unified approach. Zbl 0946.90117Udwadia, F. E.; Kalaba, R. E. 17 1999 Derivation and validation of an initial-value method for certain nonlinear two-point boundary-value problems. Zbl 0177.35104Kagiwada, H. H.; Kalaba, R. E. 16 1968 Orbit determination as a multi-point boundary-value problem and quasi- linearization. Zbl 0108.12602Bellman, Richard; Kagiwada, Harriet; Kalaba, Robert 15 1962 Associative memory approach to the identification of structural and mechanical systems. Zbl 0791.93019Kalaba, R. E.; Udwadia, F. E. 15 1993 A unified approach for the recursive determination of generalized inverses. Zbl 0936.65047Udwadia, F. E.; Kalaba, R. E. 15 1999 Numerical derivatives and nonlinear analysis. Zbl 0665.65017Kagiwada, Harriet; Kalaba, Robert; Rasakhoo, Nima; Spingarn, Karl 14 1986 An initial value method for Fredholm integral equations of convolution type. Zbl 0176.16104Kagiwada, H. H.; Kalaba, R. E. 14 1968 A one-sweep numerical method for vector-matrix difference equations with two-point boundary conditions. Zbl 0193.12801Angel, E.; Kalaba, R. 14 1970 Optimal inputs and sensitivities for parameter estimation. Zbl 0238.93035Kalaba, R. E.; Spingarn, K. 14 1973 A new initial-value method for on-line filtering and estimation. Zbl 0238.93036Casti, John L.; Kalaba, Robert; Murthy, V. K. 14 1972 Time-varying linear regression via flexible least squares. Zbl 0666.62065Kalaba, R.; Tesfatsion, L. 14 1989 A finite algorithm for the exact evaluation of higher order partial derivatives of functions of many variables. Zbl 0565.65007Kalaba, R.; Tesfatsion, L.; Wang, J.-L. 14 1983 Wengert’s numerical method for partial derivatives, orbit determination and quasilinearization. Zbl 0171.38401Bellman, R. E.; Kagiwada, H.; Kalaba, R. E. 13 1965 Invariant imbedding and radiative transfer in spherical shells. Zbl 0183.18303Bellman, Richard; Kagiwada, Harriet; Kalaba, Robert 13 1966 An initial-value method suitable for the computation of certain Fredholm resolvents. Zbl 0264.65078Kagiwada, H. H.; Kalaba, R. E. 13 1967 Shortest paths in stochastic networks with correlated link costs. Zbl 1138.90492Fan, Y. Y.; Kalaba, R. E.; Moore, J. E. II 12 2005 An initial-value method for Fredholm integral equations. Zbl 0202.46102Kagiwada, H. H.; Kalaba, R. E.; Schumitzky, A. 12 1967 Dynamic programming and ill-conditioned linear systems. Zbl 0128.39302Bellman, R.; Kalaba, R.; Lockett, J. 12 1965 Quasilinearization and the estimation of time lags. Zbl 0145.40304Bellman, R.; Kagiwada, H. H.; Kalaba, R. E. 12 1967 Some numerical experiments using Newton’s method for nonlinear parabolic and elliptic boundary value problems. Zbl 0166.13102Bellman, Richard; Juncosa, Mario L.; Kalaba, Robert 12 1961 A generalized Newton algorithm using higher-order derivatives. Zbl 0479.65040Kalaba, R.; Tishler, A. 12 1983 Equations of motion for nonholonomic, constrained dynamical systems via Gauss’s principle. Zbl 0796.70008Kalaba, R. E.; Udwadia, F. E. 12 1993 Proof of the basic invariant imbedding method for Fredholm integral equations with deplacement kernels. I, II. Zbl 0209.13501Casti, J.; Kalaba, R. 12 1970 Sequential determination of the \(\{1, 4\}\)-inverse of a matrix. Zbl 1040.65033Udwadia, F. E.; Kalaba, R. E. 12 2003 A least-squares model specification test for a class of dynamic nonlinear economic models with systematically varying parameters. Zbl 0419.90032Kalaba, R.; Tesfatsion, L. 11 1980 An inverse problem in dynamic programming and automatic control. Zbl 0115.38103Bellman, R.; Kalaba, R. 11 1963 An exact sequential solution procedure for a class of discrete-time nonlinear estimation problems. Zbl 0474.93055Kalaba, Robert; Tesfatsion, Leigh 11 1981 Nonlinear least squares via automatic derivative evaluation. Zbl 0533.65035Kalaba, Robert; Rasakhoo, Nima; Tishler, Asher 10 1983 Numerical integration of a differential-difference equation with a decreasing time-lag. Zbl 0135.17902Bellman, R. E.; Buell, J. D.; Kalaba, R. E. 10 1965 Equations of motion for constrained mechanical systems and the extended D’Alembert’s principle. Zbl 0881.70012Udwadia, Firdaus E.; Kalaba, Robert E.; Hee-Chang, Eun 9 1997 Imbedding methods for the integral equations for the optimal control of time-lag systems. I: Parameter dependence. Zbl 0421.49034Kagiwada, H. H.; Kalaba, R. E. 9 1979 On \(k\)-th best policies. Zbl 0096.34304Bellman, Richard; Kalaba, Robert 9 1961 Selected papers on mathematical trends in control theory. Zbl 0139.04501Bellman, R.; Kalaba, R. 9 1964 Initial-value methods for the basic boundary-value problem and integral equation of radiative transfer. Zbl 0149.37001Kagiwada, H.; Kalaba, R. E. 9 1967 Solving nonlinear equations by adaptive homotopy continuation. Zbl 0717.65031Kalaba, R.; Tesfatsion, L. 9 1991 A modification of Davidenko’s method for nonlinear systems. Zbl 0367.65027Kalaba, Robert E.; Zagustin, Elena; Holbrow, W.; Huss, R. 8 1977 Variational equations for the eigenvalues and eigenvectors of nonsymmetric matrices. Zbl 0421.49045Kalaba, R.; Spingarn, K.; Tesfatsion, L. 8 1981 Invariant imbedding and neutron transport theory. IV: Generalized transport theory. Zbl 0087.23501Bellman, Richard; Kalaba, Robert; Wing, G. Milton 8 1959 A note on interrupted stochastic control processes. Zbl 0106.14003Bellman, Richard; Kalaba, Robert 8 1962 Differential approximation applied to the solution of convolution equations. Zbl 0131.14602Bellman, R.; Kalaba, R.; Kotkin, B. 8 1964 Invariant embedding and nonvariational principles in analytical dynamics. Zbl 0148.18602Bellman, R.; Kagiwada, H.; Kalaba, R. 8 1966 Verification of the invariant imbedding method for certain Fredholm integral equations. Zbl 0165.13402Kagiwada, H. H.; Kalaba, R. E. 8 1968 Quasilinearization, system identification and prediction. Zbl 0173.18202Bellman, R.; Kagiwada, H.; Kalaba, R. 8 1965 A proposal for the calculation of characteristic functions for certain differential and integral operators via initial-value methods. Zbl 0251.65056Casti, J.; Kalaba, R.; Scott, M. 8 1973 A new proof for Decell’s finite algorithm for generalized inverses. Zbl 0546.65015Kalaba, Robert; Rasakhoo, Nima; Tishler, Asher; Wang, Jia Song 8 1983 Algorithms for generalized inverses. Zbl 0563.65025Kalaba, R.; Rasakhoo, N. 8 1986 Dynamic programming and pseudo-inverses. Zbl 1027.65046Fan, Y.; Kalaba, R. 8 2003 Analytical dynamics with constraint forces that do work in virtual displacements. Zbl 1076.70009Kalaba, Robert; Udwadia, Firdaus 8 2001 Extension of S. L. Sobolev’s initial value method to nonlinear integral equations. Zbl 0388.65059Kagiwada, Harriet; Kalaba, Robert 7 1978 A practical method for determining Green’s functions using Hadamard’s variational formula. Zbl 0148.33703Kagiwada, H. H.; Kalaba, R. E. 7 1967 Modern control theory and optimal drug regimes. I: The plateau effect. Zbl 0184.45706Buell, J.; Jelliffe, R.; Kalaba, R.; Sridhar, R. 7 1969 Complete comparative static differential equations. Zbl 0486.34050Kalaba, Robert; Tesfatsion, Leigh 7 1981 On motion. Zbl 0809.70010Udwadia, Firdaus E.; Kalaba, Robert E. 7 1993 Invariant imbedding and rarefied gas dynamics. Zbl 0226.76030Aroesty, J.; Bellman, R.; Kalaba, R.; Ueno, S. 7 1963 A FORTRAN program for time-varying linear regression via flexible least squares. Zbl 0726.62153Kalaba, Robert; Rasakhoo, Nima; Tesfatsion, Leigh 6 1989 Optimal tactics for close support operations. I: Degraded communications. Zbl 0393.90049Hess, J.; Kagiwada, H.; Kalaba, R.; Spingarn, K.; Tsokos, C. 6 1980 Invariant imbedding and neutron transport theory. II: Functional equations. Zbl 0081.44301Bellman, Richard; Kalaba, Robert; Wing, G. Milton 6 1958 Invariant imbedding and time-dependent diffuse reflection of a pencil of radiation by a finite inhomogeneous flat layer. I. Zbl 0116.20803Bellman, R.; Kalaba, R.; Ueno, S. 6 1963 Inverse problems in radiative transfer: layered media. Zbl 0135.23705Bellman, R. E.; Kagiwada, H. H.; Kalaba, R. E.; Ueno, S. 6 1965 Dynamic programming, invariant imbedding and quasilinearization: Comparisons and interconnections. Zbl 0149.11102Bellman, R.; Kalaba, R. 6 1964 Cauchy and Fredholm methods for Euler equations. Zbl 0179.22602Kagiwada, H.; Kalaba, R. E.; Schumitzky, A.; Sridhar, R. 6 1968 Linear and nonlinear associative memories for parameter estimation. Zbl 0796.93055Kalaba, R.; Lichtenstein, Z.; Simchony, T.; Tesfatsion, L. 6 1992 Flexible least squares for approximately linear systems. Zbl 0715.93069Kalaba, Robert; Tesfatsion, Leigh 6 1990 Automatic differentiation of functions of derivatives. Zbl 0641.65015Kalaba, R.; Tesfatsion, L. 6 1986 The flexible least squares approach to time-varying linear regression. Zbl 0646.62061Kalaba, Robert; Tesfatsion, Leigh 6 1988 An initial value method for integral operators: I-complex eigenvalues. Zbl 0324.65056Kalaba, Robert E.; Scott, Melvin R. 6 1973 Optimal input system identification for nonlinear dynamic systems. Zbl 0325.93009Kalaba, R. E.; Spingarn, K. 6 1977 Automatic solution of optimal-control problems. IV. Gradient method. Zbl 0554.65048Kalaba, R.; Spingarn, K. 6 1984 Mechanical systems with nonideal constraints: explicit equations without the use of generalized inverses. Zbl 1111.74670Udwadia, Firdaus E.; Kalaba, Robert E.; Phohomsiri, Phailaung 5 2004 On the numerical determination of optimal inputs. Zbl 0361.93022Kalaba, R. E.; Spingarn, K. 5 1978 Associate memories for system identification: Inverse problems in remote sensing. Zbl 0731.93019Kagiwada, Harriet; Kalaba, Robert; Timko, Steve; Ueno, Sueo 5 1990 Arriving on time. Zbl 1130.90410Fan, Y. Y.; Kalaba, R. E.; Moore, J. E. 17 2005 Shortest paths in stochastic networks with correlated link costs. Zbl 1138.90492Fan, Y. Y.; Kalaba, R. E.; Moore, J. E. II 12 2005 Reflections on the Gauss principle of least constraint. Zbl 1096.70008Fan, Y. Y.; Kalaba, R. E.; Natsuyama, H. H.; Udwadia, F. E. 1 2005 Mechanical systems with nonideal constraints: explicit equations without the use of generalized inverses. Zbl 1111.74670Udwadia, Firdaus E.; Kalaba, Robert E.; Phohomsiri, Phailaung 5 2004 Dynamic programming and minimal norm solutions of least squares problems. Zbl 1177.90404Kalaba, R.; Natsuyama, H. 2 2004 Sequential determination of the \(\{1, 4\}\)-inverse of a matrix. Zbl 1040.65033Udwadia, F. E.; Kalaba, R. E. 12 2003 Dynamic programming and pseudo-inverses. Zbl 1027.65046Fan, Y.; Kalaba, R. 8 2003 On the foundations of analytical dynamics. Zbl 1346.70011Udwadia, F. E.; Kalaba, R. E. 29 2002 What is the general form of the explicit equations of motion for constrained mechanical systems? Zbl 1110.74718Udwadia, F. E.; Kalaba, R. E. 24 2002 Explicit equations of motion for mechanical systems with nonideal constraints. Zbl 1110.74717Udwadia, F. E.; Kalaba, R. E. 18 2001 Analytical dynamics with constraint forces that do work in virtual displacements. Zbl 1076.70009Kalaba, Robert; Udwadia, Firdaus 8 2001 General forms for the recursive determination of generalized inverses: Unified approach. Zbl 0946.90117Udwadia, F. E.; Kalaba, R. E. 17 1999 A unified approach for the recursive determination of generalized inverses. Zbl 0936.65047Udwadia, F. E.; Kalaba, R. E. 15 1999 The estimation of parameters in time-dependent transport problems: Dynamic programming and associative memories. Zbl 0931.90062Kalaba, R. E.; Natsuyama, H. H.; Ueno, S. 4 1999 The Bellman-Gauss principle for constrained motion. Zbl 0943.70011Kalaba, R.; Natsuyama, H.; Ueno, S.; Xu, R. 1 1999 The explicit Gibbs-Appell equation and generalized inverse forms. Zbl 0958.70010Udwadia, F. E.; Kalaba, R. E. 5 1998 An alternative proof of the Greville formula. Zbl 0893.65020Udwadia, F. E.; Kalaba, R. E. 22 1997 Equations of motion for constrained mechanical systems and the extended D’Alembert’s principle. Zbl 0881.70012Udwadia, Firdaus E.; Kalaba, Robert E.; Hee-Chang, Eun 9 1997 Response to Bucy’s comment on a paper by Udwadia and Kalaba. Zbl 0875.70100Udwadia, F. E.; Kalaba, R. E. 45 1996 Obtaining initial parameter estimates for chaotic dynamical systems using linear associative memories. Zbl 0846.65030Gu, Mu; Kalaba, Robert E.; Taylor, Grant A. 3 1996 Inequality constraints in the process of jumping. Zbl 0861.70011Itiki, Cinthia; Kalaba, Robert; Udwadia, Firdaus 2 1996 Analytical dynamics. A new approach. Zbl 1106.70322Udwadia, Firdaus E.; Kalaba, Robert E. 23 1995 Solving shortest length least-squares problems via dynamic programming. Zbl 0831.90118Kalaba, R.; Xu, R.; Feng, W. 3 1995 Constrained motion revisited. Zbl 0837.70012Kalaba, Robert; Udwadia, Firdaus; Xu, Rong 3 1995 An alternate proof for the equation of motion for constrained mechanical systems. Zbl 0827.70009Udwadia, Firdaus E.; Kalaba, Robert E. 3 1995 The geometry of constrained motion. Zbl 0864.70006Udwadia, F. E.; Kalaba, R. E. 2 1995 The equivalence of Lagrange’s equations of motion of the first kind and the generalized inverse form. Zbl 0833.70014Kalaba, R.; Udwadia, F.; Xu, R.; Itiki, C. 2 1995 Appell’s equations of motion and the generalized inverse form. Zbl 0889.70010Itiki, C.; Kalaba, R. E.; Udwadia, F. E. 1 1995 On the exact control of mechanical systems. Zbl 0841.70019Kalaba, R.; Xu, R. 1 1995 Lagrange’s problem without Lagrange multipliers: I: The holonomic case. Zbl 0807.49013Xu, R.; Udwadia, F.; Moore, J.; Kalaba, R. 1 1994 Lagrangian mechanics, Gauss’s principle, quadratic programming, and generalized inverses: New equations for nonholonomically constrained discrete mechanical systems. Zbl 0829.70012Kalaba, Robert E.; Udwadia, Firdaus E. 1 1994 New directions in the control of nonlinear mechanical systems. Zbl 0825.93258Udwadia, Firdaus E.; Kalaba, Robert E. 1 1994 Associative memory approach to the identification of structural and mechanical systems. Zbl 0791.93019Kalaba, R. E.; Udwadia, F. E. 15 1993 Equations of motion for nonholonomic, constrained dynamical systems via Gauss’s principle. Zbl 0796.70008Kalaba, R. E.; Udwadia, F. E. 12 1993 On motion. Zbl 0809.70010Udwadia, Firdaus E.; Kalaba, Robert E. 7 1993 A new perspective on constrained motion. Zbl 0766.70011Udwadia, Firdaus E.; Kalaba, Robert E. 59 1992 Linear and nonlinear associative memories for parameter estimation. Zbl 0796.93055Kalaba, R.; Lichtenstein, Z.; Simchony, T.; Tesfatsion, L. 6 1992 On constrained motion. Zbl 0758.70009Kalaba, R.; Udwadia, F. 2 1992 Linear programming and recurrent associative memories. Zbl 0745.90073Kalaba, Robert; Kim, Moon; Moore, James E. II 1 1992 Solving nonlinear equations by adaptive homotopy continuation. Zbl 0717.65031Kalaba, R.; Tesfatsion, L. 9 1991 Obtaining initial parameter estimates for nonlinear systems using multicriteria associative memories. Zbl 0768.93034Kalaba, Robert; Tesfatsion, Leigh 4 1991 An adaptive learning approach to the identification of structural and mechanical systems. Zbl 0743.93011Kalaba, Robert E.; Udwadia, Firdaus E. 2 1991 Linear programming, recurrent associative memories, and feed-forward neural networks. Zbl 0776.90050Moore, James E. II; Kim, Moon; Seo, Jong-Gook; Wu, Ying; Kalaba, Robert 2 1991 Flexible least squares for approximately linear systems. Zbl 0715.93069Kalaba, Robert; Tesfatsion, Leigh 6 1990 Associate memories for system identification: Inverse problems in remote sensing. Zbl 0731.93019Kagiwada, Harriet; Kalaba, Robert; Timko, Steve; Ueno, Sueo 5 1990 Nonlocal automated sensitivity analysis. Zbl 0721.93027Kalaba, R.; Tesfatsion, L. 5 1990 An organizing principle for dynamic estimation. Zbl 0667.93100Kalaba, R.; Tesfatsion, L. 5 1990 Linear programming and simple associative memories. Zbl 0719.65051Kalaba, Robert; Kim, Moon; Moore, James E. II 4 1990 Time-varying linear regression via flexible least squares. Zbl 0666.62065Kalaba, R.; Tesfatsion, L. 14 1989 A FORTRAN program for time-varying linear regression via flexible least squares. Zbl 0726.62153Kalaba, Robert; Rasakhoo, Nima; Tesfatsion, Leigh 6 1989 Sequential nonlinear estimation with nonaugmented priors. Zbl 0631.62092Kalaba, R.; Tesfatsion, L. 5 1989 The flexible least squares approach to time-varying linear regression. Zbl 0646.62061Kalaba, Robert; Tesfatsion, Leigh 6 1988 Exact sequential filtering, smoothing and prediction for nonlinear systems. Zbl 0663.93069Kalaba, Robert; Tesfatsion, Leigh 3 1988 Exact sequential filtering, smoothing and prediction for nonlinear systems. Zbl 0664.93076Kalaba, Robert; Tesfatsion, Leigh 2 1988 An invariant-imbedding solution of general linear two-point boundary- value problems. Zbl 0648.65064Wexler, A. S.; Kalaba, R. E.; Tesfatsion, L. S.; Marsh, D. J. 2 1988 Automation of nested matrix and derivative operations. Zbl 0623.65020Kalaba, Robert; Plum, Thomas; Tesfatsion, Leigh 2 1987 Numerical derivatives and nonlinear analysis. Zbl 0665.65017Kagiwada, Harriet; Kalaba, Robert; Rasakhoo, Nima; Spingarn, Karl 14 1986 Algorithms for generalized inverses. Zbl 0563.65025Kalaba, R.; Rasakhoo, N. 8 1986 Automatic differentiation of functions of derivatives. Zbl 0641.65015Kalaba, R.; Tesfatsion, L. 6 1986 Nonlocal sensitivity analysis, automatic derivative evaluation, and sequential nonlinear estimation. Zbl 0652.62081Kalaba, Robert; Tesfatsion, Leigh 1 1986 Numerical experiments using Sukhanov’s initial-value method for nonlinear two-point boundary value problems. IV. Zbl 0579.65080Kagiwada, H.; Kalaba, R.; Rasakhoo, N.; Spingarn, K. 4 1985 Numerical experiments using Sukhanov’s initial-value method for nonlinear two-point boundary-value problems. II. Zbl 0566.65062Kagiwada, H.; Kalaba, R.; Rasakhoo, N.; Spingarn, K. 2 1985 Automatic solution of optimal-control problems. IV. Gradient method. Zbl 0554.65048Kalaba, R.; Spingarn, K. 6 1984 Generalized Newton algorithm to minimize a function with many variables using computer-evaluated exact higher-order derivatives. Zbl 0533.65037Kalaba, R.; Tishler, A. 2 1984 On the use of the table method in constrained optimization. Zbl 0518.49021Kalaba, R.; Tishler, A. 1 1984 Rate of convergence of the generalized Newton algorithm using the fixed- point approach. Zbl 0518.65041Kalaba, R.; Tishler, A.; Wang, J. S. 1 1984 Automatic solution of optimal-control problems. I. Simplest problem in the calculus of variations. Zbl 0554.65047Kalaba, R.; Spingarn, K. 1 1984 Numerical experiments using Sukhanov’s initial-value method for nonlinear two-point boundary value problems. Zbl 0566.65061Kagiwada, H.; Kalaba, R.; Rasakhoo, N.; Spingarn, K. 1 1984 Numerical experiments using Sukhanov’s initial-value method for nonlinear two-point boundary value problems. III. Zbl 0566.65063Kagiwada, H.; Kalaba, R.; Rasakhoo, N.; Spingarn, K. 1 1984 A finite algorithm for the exact evaluation of higher order partial derivatives of functions of many variables. Zbl 0565.65007Kalaba, R.; Tesfatsion, L.; Wang, J.-L. 14 1983 A generalized Newton algorithm using higher-order derivatives. Zbl 0479.65040Kalaba, R.; Tishler, A. 12 1983 Nonlinear least squares via automatic derivative evaluation. Zbl 0533.65035Kalaba, Robert; Rasakhoo, Nima; Tishler, Asher 10 1983 A new proof for Decell’s finite algorithm for generalized inverses. Zbl 0546.65015Kalaba, Robert; Rasakhoo, Nima; Tishler, Asher; Wang, Jia Song 8 1983 A computer program to minimize a function with many variables using computer evaluated exact higher-order derivatives. Zbl 0533.65036Kalaba, R.; Tishler, A. 4 1983 On the use of higher order derivatives in optimization using Lagrange’s expansion. Zbl 0533.65034Kalaba, R.; Tishler, A. 1 1983 An initial value method for the nonlinear integral equation \(F(u(t),t,\lambda)= \lambda \int^{1}_{0} k(t,y,u(y))dy\). Zbl 0534.65092Kagiwada, Harriet H.; Kalaba, Robert E. 1 1983 Control, identification, and input optimization. Zbl 0549.93015Kalaba, Robert; Spingarn, Karl 23 1982 An exact sequential solution procedure for a class of discrete-time nonlinear estimation problems. Zbl 0474.93055Kalaba, Robert; Tesfatsion, Leigh 11 1981 Variational equations for the eigenvalues and eigenvectors of nonsymmetric matrices. Zbl 0421.49045Kalaba, R.; Spingarn, K.; Tesfatsion, L. 8 1981 Complete comparative static differential equations. Zbl 0486.34050Kalaba, Robert; Tesfatsion, Leigh 7 1981 A sequential method for nonlinear filtering: Numerical implementation and comparisons. Zbl 0431.93047Kalaba, R.; Spingarn, K.; Tesfatsion, L. 5 1981 Local and nonlocal comparative static analysis of economic systems. Zbl 0489.65049Kalaba, Robert; Tesfatsion, Leigh; Wang, Jone-Lin 4 1981 Individual tracking of an eigenvalue and eigenvector of a parameterized matrix. Zbl 0476.49029Kalaba, Robert; Spingarn, Karl; Tesfatsion, Leigh 3 1981 Optimal inputs for blood glucose regulation parameter estimation. III. Zbl 0452.92011Kalaba, R. E.; Spingarn, K. 3 1981 Analytical aspects of computational linear algebra. Zbl 0475.65023Kalaba, Robert; Rasakhoo, Nima 2 1981 The most representative shape of a family of curves. Zbl 0465.65006Kalaba, Robert; Rasakhoo, Nima 1 1981 A least-squares model specification test for a class of dynamic nonlinear economic models with systematically varying parameters. Zbl 0419.90032Kalaba, R.; Tesfatsion, L. 11 1980 Optimal tactics for close support operations. I: Degraded communications. Zbl 0393.90049Hess, J.; Kagiwada, H.; Kalaba, R.; Spingarn, K.; Tsokos, C. 6 1980 A new differential equation method for finding the Perron root of a positive matrix. Zbl 0482.65024Kalaba, R.; Spingarn, K.; Tesfatsion, L. 4 1980 The equivalence of team theory’s integral equations and a Cauchy system: Sensitivity analysis of a variational problem. Zbl 0436.90004Akbari, Alireza; Hess, James; Kagiwada, Harriet; Kalaba, Robert 3 1980 Optimal tactics for close-support operations. III. Degraded intelligence and communications. Zbl 0437.90050Hess, J.; Kagiwada, Harriet; Kalaba, R.; Spingarn, K.; Tsokos, C. 3 1980 Optimal tactics for close support operations. IV: Perfect intelligence and communications. Zbl 0397.93003Hess, J.; Kagiwada, H.; Kalaba, R.; Spingarn, K.; Tsokos, C. 2 1980 A comparison of two methods for determining the weights of belonging to fuzzy sets. Zbl 0377.94002Chu, A. T. W.; Kalaba, R. E.; Spingarn, K. 72 1979 Imbedding methods for the integral equations for the optimal control of time-lag systems. I: Parameter dependence. Zbl 0421.49034Kagiwada, H. H.; Kalaba, R. E. 9 1979 Optimal tactics for close support operations. II. Degraded communications with linear time-varying dynamics. Zbl 0444.90053Hess, J.; Kagiwada, H.; Kalaba, R.; Spingarn, K.; Tsokos, C. 4 1979 On a boundary value problem in the theory of urine formation. Zbl 0468.76125Buell, J.; Kalaba, R.; Marsh, D. 2 1979 Optimal strategies for \(C^ 3\) problems. V. The incorporation of symmetrical rationality. Zbl 0459.90042Kalaba, R.; Spingarn, K.; Tesfatsion, L. 2 1979 Cooperative dynamic programming. Zbl 0398.90105Hess, James; Kagiwada, Harriet; Kalaba, Robert; Tsokos, Chris 1 1979 Extension of S. L. Sobolev’s initial value method to nonlinear integral equations. Zbl 0388.65059Kagiwada, Harriet; Kalaba, Robert 7 1978 On the numerical determination of optimal inputs. Zbl 0361.93022Kalaba, R. E.; Spingarn, K. 5 1978 ...and 147 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,949 Authors 178 Kalaba, Robert E. 54 Bellman, Richard Ernest 54 Kagiwada, Harriet H. 32 Spingarn, Karl 28 Udwadia, Firdaus E. 28 Ueno, Sueo 22 Kadalbajoo, Mohan K. 20 Agarwal, Ravi P. 20 Grygorenko, Yaroslav Mykhaĭlovych 19 Tesfatsion, Leigh 15 Casti, John L. 15 Chen, Ye-Hwa 15 Golberg, Michael A. 13 Scott, Melvin R. 12 Wing, George Milton 12 Zagustin, Elena A. 11 Ojika, Takeo 11 Saeed, Umer 11 Schumitzky, Alan 11 Stanimirović, Predrag S. 10 Kryukov, N. N. 10 Lakshmikantham, Vangipuram 10 Lee, E. Stanley 10 Rasakhoo, Nima 10 Vasudevan, Ramabhadra 9 Ahmad, Bashir 9 Mol’chenko, Leonid V. 9 Motsa, Sandile Sydney 9 Roth, Robert S. 9 Tasić, Milan B. 9 Tishler, Asher 8 Nakamori, Seiichi 8 Nieto Roig, Juan Jose 8 Sibanda, Precious 8 Wang, Alan Ping-I 8 Zhao, Han 7 Distefano, Nestor 7 Lin, Ji 7 Mandelzweig, V. B. 7 Natsuyama, Harriet H. 7 Phohomsiri, Phailaung 7 Ramos, Juan I. 7 Reutskiy, Sergiy Yu 7 Roul, Pradip 7 Sun, Hao 7 Tsokos, Christos P. 7 Vatsala, Aghalaya S. 7 Yang, Miin-Shen 6 Angel, Edward S. 6 Delkhosh, Mehdi 6 Fan, Yueyue 6 Iskandar, Labib 6 Iwamoto, Seiichi 6 Jankowski, Tadeusz 6 Khan, Rahmat Ali 6 Miele, Angelo 6 Shahzad, Naseer 6 Sivakumar, Koratti Chengalrayan 6 Welsh, Wayne 5 Ben-Romdhane, Mohamed 5 Bozóki, Sándor 5 Elzoheiry, H. 5 Fülöp, János 5 Huang, Kang 5 Huss, Ronald E. 5 Koleva, Miglena Nikolaeva 5 Lozovanu, Dmitrii 5 McNabb, Alex 5 Pickl, Stefan Wolfgang 5 Roberts, Sanford M. 5 Roy, Satyajit 5 Ruspini, Enrique Hector 5 Sugisaka, Masanori 5 Temimi, Helmi 5 Ur Rehman, Mujeeb 5 Vajravelu, Kuppalapalle 5 Vulkov, Lubin G. 5 Wexler, Anthony S. 5 Zhen, Shengchao 4 Abdulla, Ugur G. 4 Agbaje, Titilayo Morenike 4 Aliev, Fikret Akhmedalioglu 4 Al-saedi, Ahmed Eid Salem 4 Bajodah, Abdulrahman H. 4 Buell, J. D. 4 Cervellera, Cristiano 4 Dubois, Didier 4 Eloe, Paul W. 4 Evans, David John 4 Joshi, Rajesh 4 Juang, Jonq 4 Kou, Gang 4 Krivec, Rajmund 4 Kumar, Pramod 4 Kumar, Sunil 4 Lord, M. E. 4 Mohapatra, Ram Narayan 4 Nelson, Paul jun. 4 Nguyen Xuan Thao 4 Parand, Kourosh ...and 1,849 more Authors all top 5 Cited in 315 Serials 211 Journal of Mathematical Analysis and Applications 174 Applied Mathematics and Computation 126 Journal of Optimization Theory and Applications 56 Computers & Mathematics with Applications 36 Mathematical Biosciences 30 Journal of the Franklin Institute 29 Journal of Computational and Applied Mathematics 27 Automatica 27 Fuzzy Sets and Systems 26 Soviet Applied Mechanics 23 International Journal of Engineering Science 22 Journal of Computational Physics 22 European Journal of Operational Research 21 Mathematical and Computer Modelling 20 Information Sciences 20 International Journal of Computer Mathematics 20 Nonlinear Dynamics 17 Computer Methods in Applied Mechanics and Engineering 15 International Applied Mechanics 15 Nonlinear Analysis. 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Part A 5 Mathematical Programming. Series A. Series B 5 Computational Optimization and Applications 5 CEJOR. Central European Journal of Operations Research 4 International Journal of Heat and Mass Transfer 4 Journal of Applied Mathematics and Mechanics 4 Physics of Fluids 4 Transport Theory and Statistical Physics 4 Mathematics of Computation 4 Applied Mathematics and Optimization 4 Calcolo 4 Czechoslovak Mathematical Journal 4 Journal of Computer and System Sciences 4 Applied Mathematics Letters 4 Annals of Physics 4 Linear Algebra and its Applications 4 Pattern Recognition 4 Journal of Computer and Systems Sciences International 4 Filomat 4 Optimization Methods & Software 4 Mechanism and Machine Theory 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Nonlinear Analysis. Real World Applications 4 Boundary Value Problems 4 BIT. Nordisk Tidskrift for Informationsbehandling 4 Advances in Mathematical Physics 4 S\(\vec{\text{e}}\)MA Journal 3 Computers and Fluids 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 BIT 3 Insurance Mathematics & Economics ...and 215 more Serials all top 5 Cited in 48 Fields 598 Numerical analysis (65-XX) 285 Ordinary differential equations (34-XX) 218 Systems theory; control (93-XX) 204 Operations research, mathematical programming (90-XX) 154 Partial differential equations (35-XX) 140 Calculus of variations and optimal control; optimization (49-XX) 134 Fluid mechanics (76-XX) 125 Mechanics of deformable solids (74-XX) 124 Integral equations (45-XX) 96 Mechanics of particles and systems (70-XX) 86 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 85 Statistics (62-XX) 82 Biology and other natural sciences (92-XX) 78 Computer science (68-XX) 44 Integral transforms, operational calculus (44-XX) 43 Probability theory and stochastic processes (60-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 37 Operator theory (47-XX) 31 Information and communication theory, circuits (94-XX) 30 Classical thermodynamics, heat transfer (80-XX) 25 Mathematical logic and foundations (03-XX) 19 Astronomy and astrophysics (85-XX) 18 Approximations and expansions (41-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 16 Difference and functional equations (39-XX) 15 Real functions (26-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Quantum theory (81-XX) 12 History and biography (01-XX) 11 Optics, electromagnetic theory (78-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Combinatorics (05-XX) 9 Special functions (33-XX) 7 Geophysics (86-XX) 6 General and overarching topics; collections (00-XX) 6 Functional analysis (46-XX) 3 Measure and integration (28-XX) 3 General topology (54-XX) 2 Functions of a complex variable (30-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Potential theory (31-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year