Edit Profile Underwood, Robert G. Compute Distance To: Compute Author ID: underwood.robert-g Published as: Underwood, R.; Underwood, R. G.; Underwood, Robert; Underwood, Robert G. Documents Indexed: 40 Publications since 1970, including 3 Books Reviewing Activity: 14 Reviews all top 5 Co-Authors 19 single-authored 3 Childs, Lindsay N. 3 Koch, Alan 3 Kohl, Timothy 3 Truman, Paul J. 2 Chukwu, Ethelbert Nwakuche 2 Filaseta, Michael A. 2 Luca, Florian 2 Stănică, Pantelimon 2 Tolwinski, Boleslaw 1 Davis, Graham A. 1 Elder, Gove Griffith 1 Kovari, Louis D. 1 Nichols, Warren D. 1 Replogle, Daniel R. 1 Wang, Junping 1 Young, Donald Francis all top 5 Serials 3 Journal of Algebra 2 Communications in Algebra 2 Journal of Mathematical Analysis and Applications 2 Acta Arithmetica 2 American Journal of Mathematics 2 Journal of Number Theory 2 SIAM Journal on Control and Optimization 2 Transactions of the American Mathematical Society 2 International Mathematical Forum 2 Axioms 1 Applied Mathematics and Computation 1 Illinois Journal of Mathematics 1 Journal of Optimization Theory and Applications 1 Journal of Pure and Applied Algebra 1 Theoretical Computer Science 1 IMA Journal of Mathematics Applied in Business and Industry 1 European Journal of Operational Research 1 The New York Journal of Mathematics 1 Nonlinear Analysis. Real World Applications 1 International Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications 1 Universitext all top 5 Fields 17 Associative rings and algebras (16-XX) 10 Number theory (11-XX) 7 Algebraic geometry (14-XX) 6 Field theory and polynomials (12-XX) 6 Group theory and generalizations (20-XX) 5 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Systems theory; control (93-XX) 2 Commutative algebra (13-XX) 2 Ordinary differential equations (34-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 29 Publications have been cited 162 times in 124 Documents Cited by ▼ Year ▼ The Block Lanczos method for computing eigenvalues. Zbl 0407.68040Golub, G. H.; Underwood, R. 45 1977 The valuative condition and \(R\)-Hopf algebra orders in \(KC_{p^ 3}\). Zbl 0857.16039Underwood, Robert 13 1996 \(R\)-Hopf algebra orders in \(KC_{p^ 2}\). Zbl 0820.16036Underwood, Robert G. 13 1994 Null controllability of nonlinear functional differential equations. Zbl 0438.93016Underwood, Robert G.; Young, Donald F. 12 1979 Duality for Hopf orders. Zbl 1084.16013Underwood, Robert G.; Childs, Lindsay N. 7 2006 Cyclic Hopf orders defined by isogenies of formal groups. Zbl 1041.16026Childs, Lindsay N.; Underwood, Robert G. 7 2003 A scheduling algorithm for open pit mines. Zbl 0851.90079Tolwinski, Boleslaw; Underwood, Robert 7 1996 Stationary values of the ratio of quadratic forms subject to linear constraints. Zbl 0206.16806Golub, G. H.; Underwood, R. 7 1970 An introduction to Hopf algebras. Zbl 1234.16022Underwood, Robert G. 6 2011 A mathematical programming viewpoint for solving the ultimate pit problem. Zbl 0943.90077Underwood, Robert; Tolwinski, Boleslaw 6 1998 Null controllability of nonlinear neutral differential equations. Zbl 0639.93011Underwood, Robert G.; Chukwu, E. N. 4 1988 Continuous programs and their relation to continuous games. Zbl 0339.90044Underwood, Robert G. 4 1976 Duals of formal group Hopf orders in cyclic groups. Zbl 1113.11071Childs, Lindsay N.; Underwood, Robert G. 3 2004 Galois module theory over a discrete valuation ring. Zbl 1077.16040Underwood, Robert G. 3 2003 Fundamentals of Hopf algebras. Zbl 1341.16034Underwood, Robert G. 2 2015 Quasitriangular structure of Myhill-Nerode bialgebras. Zbl 1293.68197Underwood, Robert G. 2 2012 Two Diophantine approaches to the irreducibility of certain trinomials. Zbl 1217.11092Filaseta, M.; Luca, F.; Stănică, P.; Underwood, R. G. 2 2007 Realizable Hopf orders in \(KC_8\). Zbl 1207.11113Underwood, Robert G. 2 2006 Nontrivial tame extensions over Hopf orders. Zbl 1018.11056Replogle, Daniel R.; Underwood, Robert G. 2 2002 An integral representation and computation for the solution of American options. Zbl 1011.91049Underwood, Robert; Wang, Junping 2 2002 Isogenies of polynomial formal groups. Zbl 0932.14026Underwood, Robert 2 1999 The group of Galois extensions over orders in \(KC_{p^2}\). Zbl 0957.16010Underwood, Robert 2 1997 Global constrained null-controllability of nonlinear neutral systems. Zbl 0770.93005Chukwu, E. N.; Underwood, Robert G.; Kovari, Louis D. 2 1992 A functional differential equation approach to solving infinite games. Zbl 0339.90066Underwood, R. G. 2 1976 Normality and short exact sequences of Hopf-Galois structures. Zbl 1430.16034Koch, Alan; Kohl, Timothy; Truman, Paul J.; Underwood, Robert 1 2019 Finite group scheme extensions, and Hopf orders in \(KC_p^2\) over a characteristic \(p\) discrete valuation ring. Zbl 1384.16020Elder, G. Griffith; Underwood, Robert G. 1 2017 Algebraic Myhill-Nerode theorems. Zbl 1206.68179Nichols, Warren D.; Underwood, Robert G. 1 2011 Realizable Hopf orders in \(KC_{p^3}\). Zbl 1148.16020Underwood, Robert G. 1 2008 The structure and realizability of \(R\)-Hopf algebra orders in \(KC_{p^3}\). Zbl 0911.16012Underwood, Robert 1 1998 Normality and short exact sequences of Hopf-Galois structures. Zbl 1430.16034Koch, Alan; Kohl, Timothy; Truman, Paul J.; Underwood, Robert 1 2019 Finite group scheme extensions, and Hopf orders in \(KC_p^2\) over a characteristic \(p\) discrete valuation ring. Zbl 1384.16020Elder, G. Griffith; Underwood, Robert G. 1 2017 Fundamentals of Hopf algebras. Zbl 1341.16034Underwood, Robert G. 2 2015 Quasitriangular structure of Myhill-Nerode bialgebras. Zbl 1293.68197Underwood, Robert G. 2 2012 An introduction to Hopf algebras. Zbl 1234.16022Underwood, Robert G. 6 2011 Algebraic Myhill-Nerode theorems. Zbl 1206.68179Nichols, Warren D.; Underwood, Robert G. 1 2011 Realizable Hopf orders in \(KC_{p^3}\). Zbl 1148.16020Underwood, Robert G. 1 2008 Two Diophantine approaches to the irreducibility of certain trinomials. Zbl 1217.11092Filaseta, M.; Luca, F.; Stănică, P.; Underwood, R. G. 2 2007 Duality for Hopf orders. Zbl 1084.16013Underwood, Robert G.; Childs, Lindsay N. 7 2006 Realizable Hopf orders in \(KC_8\). Zbl 1207.11113Underwood, Robert G. 2 2006 Duals of formal group Hopf orders in cyclic groups. Zbl 1113.11071Childs, Lindsay N.; Underwood, Robert G. 3 2004 Cyclic Hopf orders defined by isogenies of formal groups. Zbl 1041.16026Childs, Lindsay N.; Underwood, Robert G. 7 2003 Galois module theory over a discrete valuation ring. Zbl 1077.16040Underwood, Robert G. 3 2003 Nontrivial tame extensions over Hopf orders. Zbl 1018.11056Replogle, Daniel R.; Underwood, Robert G. 2 2002 An integral representation and computation for the solution of American options. Zbl 1011.91049Underwood, Robert; Wang, Junping 2 2002 Isogenies of polynomial formal groups. Zbl 0932.14026Underwood, Robert 2 1999 A mathematical programming viewpoint for solving the ultimate pit problem. Zbl 0943.90077Underwood, Robert; Tolwinski, Boleslaw 6 1998 The structure and realizability of \(R\)-Hopf algebra orders in \(KC_{p^3}\). Zbl 0911.16012Underwood, Robert 1 1998 The group of Galois extensions over orders in \(KC_{p^2}\). Zbl 0957.16010Underwood, Robert 2 1997 The valuative condition and \(R\)-Hopf algebra orders in \(KC_{p^ 3}\). Zbl 0857.16039Underwood, Robert 13 1996 A scheduling algorithm for open pit mines. Zbl 0851.90079Tolwinski, Boleslaw; Underwood, Robert 7 1996 \(R\)-Hopf algebra orders in \(KC_{p^ 2}\). Zbl 0820.16036Underwood, Robert G. 13 1994 Global constrained null-controllability of nonlinear neutral systems. Zbl 0770.93005Chukwu, E. N.; Underwood, Robert G.; Kovari, Louis D. 2 1992 Null controllability of nonlinear neutral differential equations. Zbl 0639.93011Underwood, Robert G.; Chukwu, E. N. 4 1988 Null controllability of nonlinear functional differential equations. Zbl 0438.93016Underwood, Robert G.; Young, Donald F. 12 1979 The Block Lanczos method for computing eigenvalues. Zbl 0407.68040Golub, G. H.; Underwood, R. 45 1977 Continuous programs and their relation to continuous games. Zbl 0339.90044Underwood, Robert G. 4 1976 A functional differential equation approach to solving infinite games. Zbl 0339.90066Underwood, R. G. 2 1976 Stationary values of the ratio of quadratic forms subject to linear constraints. Zbl 0206.16806Golub, G. H.; Underwood, R. 7 1970 all cited Publications top 5 cited Publications all top 5 Cited by 167 Authors 13 Underwood, Robert G. 11 Chukwu, Ethelbert Nwakuche 6 Golub, Gene Howard 5 Koch, Alan 5 Newman, Alexandra M. 4 Boley, Daniel L. 4 Byott, Nigel P. 4 Lambers, James V. 3 Balachandran, Krishnan 3 Cullum, Jane K. 3 Dimitrakopoulos, Roussos G. 3 Genest, Vincent X. 3 Lamghari, Amina 3 Vinet, Luc 3 Willoughby, Ralph A. 3 Zhedanov, Alexei S. 2 Boland, Natashia L. 2 Childs, Lindsay N. 2 Cibotarica, Alexandru 2 Froyland, Gary 2 Goycoolea, Marcos 2 Kim, Do Sang 2 Krylov, Piotr A. 2 Nichita, Florin Felix 2 Noh, Kyung-A. 2 O’Leary, Dianne P. 2 Palchak, Elisabeth M. 2 Sheikholeslami, Somayyeh 2 Shen, Chungen 2 Simoncini, Valeria 2 Tuganbaev, Askar Akanovich 2 Ye, Qiang 2 Zhang, Lei-Hong 1 Abuhlail, Jawad Y. 1 Al-harbi, Bashayer 1 Al-Shomrani, Mohammed Mosa 1 Al-Sulaiman, Nabeela 1 Alaviani, Seyyed Shaho 1 Aliaga, José Ignacio 1 Arbenz, Peter 1 Baglama, James 1 Barlow, Jesse L. 1 Bley, Andreas 1 Borcea, Liliana 1 Burdett, Robert L. 1 Byrne, Helen Mary 1 Calvetti, Daniela 1 Cantero, María José 1 Carey, Cheryl M. M. 1 Carmon, Yair 1 Conrad, Marc 1 Cui, Tiangang 1 Cybenko, George 1 Dauer, Jerald P. 1 Davies, Iyai 1 Dehesa, Jesús S. 1 Dello, Jeroen 1 Divya, Shanmugam 1 Druskin, Vladimir 1 Duchi, John C. 1 Dumitrescu, Irina 1 El Guennouni, Ahmed 1 El Kaoutit, Laiachi 1 Elder, Gove Griffith 1 Elsworth, Steven 1 Espinoza, Daniel G. 1 Essam, Daryl L. 1 Fakieh, Wafa M. 1 Ferland, Jacques A. 1 Ferrer, M. Pilar 1 Freund, Roland W. 1 Fricke, Christopher 1 Fu, Ruiqin 1 Gallant, A. Ronald 1 Gallopoulos, Efstratios 1 Gambolati, Giuseppe 1 Gander, Walter 1 Gleixner, Ambros M. 1 Gutknecht, Martin H. 1 Güttel, Stefan 1 Haas, Olivier C. 1 Henrici, Peter 1 Hernández, Vicente G. 1 Hnětynková, Iveta 1 Ikramov, Saidkhakim Dododshanovich 1 Jackson, Trachette L. 1 Jbilou, Khalide 1 Júdice, Joaquim João 1 Karthikeyan, Shanmugasundaram 1 King, Barry 1 Koch, Herbert 1 Kovari, Louis D. 1 Kozan, Erhan 1 Lambert, W. B. 1 Law, Kincho H. 1 Lenhart, Suzanne M. 1 Leon, Steven J. 1 Li, Shenghong 1 Li, Shujin 1 Lin, Qun ...and 67 more Authors all top 5 Cited in 48 Serials 15 Linear Algebra and its Applications 9 Journal of Algebra 7 European Journal of Operational Research 6 Journal of Mathematical Analysis and Applications 6 Journal of Computational and Applied Mathematics 5 Communications in Algebra 5 Applied Mathematics and Computation 5 Journal of Optimization Theory and Applications 5 SIAM Journal on Matrix Analysis and Applications 4 Journal of Computational Physics 3 Mathematics of Computation 3 Applied Numerical Mathematics 3 Computers & Operations Research 3 Axioms 2 Computers & Mathematics with Applications 2 Communications in Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 International Journal for Numerical Methods in Engineering 2 Journal of Number Theory 2 Transactions of the American Mathematical Society 2 Systems & Control Letters 2 Applied Mathematics Letters 2 Annals of Operations Research 2 SIAM Journal on Scientific Computing 2 Journal of Mathematical Sciences (New York) 1 Letters in Mathematical Physics 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Periodica Mathematica Hungarica 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Journal of Econometrics 1 Journal of Soviet Mathematics 1 Circuits, Systems, and Signal Processing 1 Acta Mathematica Hungarica 1 Journal of Scientific Computing 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Journal of Global Optimization 1 Numerical Algorithms 1 SIAM Review 1 Zeitschrift für Operations Research. Serie A: Theorie 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 European Journal of Control 1 International Journal of Applied Mathematics and Computer Science 1 European Journal of Pure and Applied Mathematics 1 Ars Mathematica Contemporanea all top 5 Cited in 34 Fields 47 Numerical analysis (65-XX) 24 Associative rings and algebras (16-XX) 23 Operations research, mathematical programming (90-XX) 18 Systems theory; control (93-XX) 13 Ordinary differential equations (34-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Number theory (11-XX) 6 Algebraic geometry (14-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Group theory and generalizations (20-XX) 5 Partial differential equations (35-XX) 4 Commutative algebra (13-XX) 4 Quantum theory (81-XX) 3 Nonassociative rings and algebras (17-XX) 3 Statistics (62-XX) 2 Field theory and polynomials (12-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year