# zbMATH — the first resource for mathematics

## Underwood, Robert G.

Compute Distance To:
 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
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#### 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
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#### 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
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#### 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)

#### 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 0407.68040
Golub, G. H.; Underwood, R.
1977
The valuative condition and $$R$$-Hopf algebra orders in $$KC_{p^ 3}$$. Zbl 0857.16039
Underwood, Robert
1996
$$R$$-Hopf algebra orders in $$KC_{p^ 2}$$. Zbl 0820.16036
Underwood, Robert G.
1994
Null controllability of nonlinear functional differential equations. Zbl 0438.93016
Underwood, Robert G.; Young, Donald F.
1979
Duality for Hopf orders. Zbl 1084.16013
Underwood, Robert G.; Childs, Lindsay N.
2006
Cyclic Hopf orders defined by isogenies of formal groups. Zbl 1041.16026
Childs, Lindsay N.; Underwood, Robert G.
2003
A scheduling algorithm for open pit mines. Zbl 0851.90079
Tolwinski, Boleslaw; Underwood, Robert
1996
Stationary values of the ratio of quadratic forms subject to linear constraints. Zbl 0206.16806
Golub, G. H.; Underwood, R.
1970
An introduction to Hopf algebras. Zbl 1234.16022
Underwood, Robert G.
2011
A mathematical programming viewpoint for solving the ultimate pit problem. Zbl 0943.90077
Underwood, Robert; Tolwinski, Boleslaw
1998
Null controllability of nonlinear neutral differential equations. Zbl 0639.93011
Underwood, Robert G.; Chukwu, E. N.
1988
Continuous programs and their relation to continuous games. Zbl 0339.90044
Underwood, Robert G.
1976
Duals of formal group Hopf orders in cyclic groups. Zbl 1113.11071
Childs, Lindsay N.; Underwood, Robert G.
2004
Galois module theory over a discrete valuation ring. Zbl 1077.16040
Underwood, Robert G.
2003
Fundamentals of Hopf algebras. Zbl 1341.16034
Underwood, Robert G.
2015
Quasitriangular structure of Myhill-Nerode bialgebras. Zbl 1293.68197
Underwood, Robert G.
2012
Two Diophantine approaches to the irreducibility of certain trinomials. Zbl 1217.11092
Filaseta, M.; Luca, F.; Stănică, P.; Underwood, R. G.
2007
Realizable Hopf orders in $$KC_8$$. Zbl 1207.11113
Underwood, Robert G.
2006
Nontrivial tame extensions over Hopf orders. Zbl 1018.11056
Replogle, Daniel R.; Underwood, Robert G.
2002
An integral representation and computation for the solution of American options. Zbl 1011.91049
Underwood, Robert; Wang, Junping
2002
Isogenies of polynomial formal groups. Zbl 0932.14026
Underwood, Robert
1999
The group of Galois extensions over orders in $$KC_{p^2}$$. Zbl 0957.16010
Underwood, Robert
1997
Global constrained null-controllability of nonlinear neutral systems. Zbl 0770.93005
Chukwu, E. N.; Underwood, Robert G.; Kovari, Louis D.
1992
A functional differential equation approach to solving infinite games. Zbl 0339.90066
Underwood, R. G.
1976
Normality and short exact sequences of Hopf-Galois structures. Zbl 1430.16034
Koch, Alan; Kohl, Timothy; Truman, Paul J.; Underwood, Robert
2019
Finite group scheme extensions, and Hopf orders in $$KC_p^2$$ over a characteristic $$p$$ discrete valuation ring. Zbl 1384.16020
Elder, G. Griffith; Underwood, Robert G.
2017
Algebraic Myhill-Nerode theorems. Zbl 1206.68179
Nichols, Warren D.; Underwood, Robert G.
2011
Realizable Hopf orders in $$KC_{p^3}$$. Zbl 1148.16020
Underwood, Robert G.
2008
The structure and realizability of $$R$$-Hopf algebra orders in $$KC_{p^3}$$. Zbl 0911.16012
Underwood, Robert
1998
Normality and short exact sequences of Hopf-Galois structures. Zbl 1430.16034
Koch, Alan; Kohl, Timothy; Truman, Paul J.; Underwood, Robert
2019
Finite group scheme extensions, and Hopf orders in $$KC_p^2$$ over a characteristic $$p$$ discrete valuation ring. Zbl 1384.16020
Elder, G. Griffith; Underwood, Robert G.
2017
Fundamentals of Hopf algebras. Zbl 1341.16034
Underwood, Robert G.
2015
Quasitriangular structure of Myhill-Nerode bialgebras. Zbl 1293.68197
Underwood, Robert G.
2012
An introduction to Hopf algebras. Zbl 1234.16022
Underwood, Robert G.
2011
Algebraic Myhill-Nerode theorems. Zbl 1206.68179
Nichols, Warren D.; Underwood, Robert G.
2011
Realizable Hopf orders in $$KC_{p^3}$$. Zbl 1148.16020
Underwood, Robert G.
2008
Two Diophantine approaches to the irreducibility of certain trinomials. Zbl 1217.11092
Filaseta, M.; Luca, F.; Stănică, P.; Underwood, R. G.
2007
Duality for Hopf orders. Zbl 1084.16013
Underwood, Robert G.; Childs, Lindsay N.
2006
Realizable Hopf orders in $$KC_8$$. Zbl 1207.11113
Underwood, Robert G.
2006
Duals of formal group Hopf orders in cyclic groups. Zbl 1113.11071
Childs, Lindsay N.; Underwood, Robert G.
2004
Cyclic Hopf orders defined by isogenies of formal groups. Zbl 1041.16026
Childs, Lindsay N.; Underwood, Robert G.
2003
Galois module theory over a discrete valuation ring. Zbl 1077.16040
Underwood, Robert G.
2003
Nontrivial tame extensions over Hopf orders. Zbl 1018.11056
Replogle, Daniel R.; Underwood, Robert G.
2002
An integral representation and computation for the solution of American options. Zbl 1011.91049
Underwood, Robert; Wang, Junping
2002
Isogenies of polynomial formal groups. Zbl 0932.14026
Underwood, Robert
1999
A mathematical programming viewpoint for solving the ultimate pit problem. Zbl 0943.90077
Underwood, Robert; Tolwinski, Boleslaw
1998
The structure and realizability of $$R$$-Hopf algebra orders in $$KC_{p^3}$$. Zbl 0911.16012
Underwood, Robert
1998
The group of Galois extensions over orders in $$KC_{p^2}$$. Zbl 0957.16010
Underwood, Robert
1997
The valuative condition and $$R$$-Hopf algebra orders in $$KC_{p^ 3}$$. Zbl 0857.16039
Underwood, Robert
1996
A scheduling algorithm for open pit mines. Zbl 0851.90079
Tolwinski, Boleslaw; Underwood, Robert
1996
$$R$$-Hopf algebra orders in $$KC_{p^ 2}$$. Zbl 0820.16036
Underwood, Robert G.
1994
Global constrained null-controllability of nonlinear neutral systems. Zbl 0770.93005
Chukwu, E. N.; Underwood, Robert G.; Kovari, Louis D.
1992
Null controllability of nonlinear neutral differential equations. Zbl 0639.93011
Underwood, Robert G.; Chukwu, E. N.
1988
Null controllability of nonlinear functional differential equations. Zbl 0438.93016
Underwood, Robert G.; Young, Donald F.
1979
The Block Lanczos method for computing eigenvalues. Zbl 0407.68040
Golub, G. H.; Underwood, R.
1977
Continuous programs and their relation to continuous games. Zbl 0339.90044
Underwood, Robert G.
1976
A functional differential equation approach to solving infinite games. Zbl 0339.90066
Underwood, R. G.
1976
Stationary values of the ratio of quadratic forms subject to linear constraints. Zbl 0206.16806
Golub, G. H.; Underwood, R.
1970
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#### 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
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#### 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
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#### 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)