Edit Profile (opens in new tab) Trapp, George E. jun. Compute Distance To: Compute Author ID: trapp.george-e-jun Published as: Trapp, George E.; Trapp, G. E.; Trapp, George; Trapp, G.; Trapp, George E. jun.; Trapp, G. E. jun. more...less Documents Indexed: 49 Publications since 1972 Co-Authors: 16 Co-Authors with 46 Joint Publications 213 Co-Co-Authors all top 5 Co-Authors 3 single-authored 28 Anderson, William N. jun. 10 Morley, Thomas D. 5 Duffin, Richard James 4 Reynolds, Donald F. 3 Klostermeyer, William F. 3 Mays, Michael E. 3 Squire, William 2 Goldwasser, John L. 2 Hiergeist, F. 2 Ryan, David M. 2 Simons, William H. 1 Bunce, John Winston 1 Eisenhart, Laurance C. 1 Harner, E. James 1 Mitra, Sujit Kumar 1 Šoltés, Ľubomír all top 5 Serials 5 Proceedings of the West Virginia Academy of Science 5 Linear Algebra and its Applications 4 Linear and Multilinear Algebra 3 Kyungpook Mathematical Journal 3 SIAM Journal on Algebraic and Discrete Methods 3 Circuits, Systems, and Signal Processing 2 Discrete Mathematics 2 Journal of the Franklin Institute 2 Proceedings of the National Academy of Sciences of the United States of America 2 Topology Proceedings 1 Applicable Analysis 1 Mathematics of Computation 1 Bulletin of the Calcutta Mathematical Society 1 The Computer Journal. Section A / Section B 1 The Fibonacci Quarterly 1 IEEE Transactions on Circuits and Systems 1 SIAM Journal on Matrix Analysis and Applications 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 SIAM Journal on Control all top 5 Fields 24 Linear and multilinear algebra; matrix theory (15-XX) 15 Information and communication theory, circuits (94-XX) 7 Numerical analysis (65-XX) 6 Operator theory (47-XX) 4 Systems theory; control (93-XX) 3 Number theory (11-XX) 2 Combinatorics (05-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Statistics (62-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 499 times in 385 Documents Cited by ▼ Year ▼ Shorted operators. II. Zbl 0295.47032Anderson, W. N. jun.; Trapp, G. E. 133 1975 Using complex variables to estimate derivatives of real functions. Zbl 0913.65014Squire, William; Trapp, George 83 1998 Positive solutions to \(X=A-BX^{-1}B^*\). Zbl 0702.15009Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 71 1990 Ladder networks, fixpoints, and the geometric mean. Zbl 0526.94017Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 30 1983 Characterization of parallel subtraction. Zbl 0456.47022Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 26 1979 Hermitian semidefinite matrix means and related matrix inequalities. An introduction. Zbl 0548.15013Trapp, George E. 19 1984 Characterizing switch-setting problems. Zbl 0890.15004Goldwasser, John; Klostermeyer, William; Trapp, George 14 1997 Parallel subtraction of matrices. Zbl 0348.15007Anderson, W. N. jun.; Duffin, R. J.; Trapp, G. E. 13 1972 Matrix operations induced by network connections. Zbl 0269.94015Anderson, William N. jun.; Duffin, Richard J.; Trapp, George E. 11 1975 Symmetric function means of positive operators. Zbl 0575.47001Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 9 1984 Eigenvalues of the difference and product of projections. Zbl 0593.15004Anderson, William N. jun.; Harner, E. James; Trapp, George E. 9 1985 Matrix operations induced by electrical network connections - a survey. Zbl 0444.94034Anderson, W. N. jun.; Trapp, G. E. 8 1979 Hybrid addition of matrices - network theory concept. Zbl 0268.15010Duffin, R. J.; Trapp, G. E. 7 1972 The cascade limit, the shorted operator and quadratic optimal control. Zbl 0675.93020Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 6 1988 Inverses of circulant matrices and block circulant matrices. Zbl 0271.15003Trapp, George E. 5 1973 On hybrid addition of matrices. Zbl 0311.15001Mitra, Sujit Kumar; Trapp, George E. 5 1975 The extreme points of a set of positive semidefinite operators. Zbl 0657.15018Anderson, William N. jun.; Trapp, George E. 5 1988 The contraharmonic mean of HSD matrices. Zbl 0641.15009Anderson, William N. jun.; Mays, Michael E.; Morley, Thomas D.; Trapp, George E. 4 1987 Cascade addition and subtraction of matrices. Zbl 0607.15008Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 4 1986 The density of ones in Pascal’s rhombus. Zbl 0935.11009Goldwasser, John; Klostermeyer, William; Mays, Michael; Trapp, George 4 1999 Inequalities for the parallel connection of resistive n-port networks. Zbl 0349.94044Anderson, William N. jun.; Trapp, George E. 4 1975 Fenchel duality of nonlinear networks. Zbl 0392.94016Anderson, William N. jun.; Morley, T. D.; Trapp, George E. 4 1978 A recursive algorithm to invert multiblock circulant matrices. Zbl 0671.65019Baker, J.; Hiergeist, F.; Trapp, G. 3 1988 The structure of multi-block circulants. Zbl 0583.15014Baker, J.; Hiergeist, F.; Trapp, G. 3 1985 Inverse problems for means of matrices. Zbl 0596.15010Anderson, William N. jun.; Trapp, George E. 3 1986 Analytic operator functions and electrical networks. Zbl 0501.15014Anderson, W. N.; Trapp, G. E. 2 1982 A Pascal rhombus. Zbl 0908.11005Klostermeyer, William F.; Mays, Michael E.; Soltes, Lubomir; Trapp, George 2 1997 A class of monotone operator functions related to electrical network theory. Zbl 0363.47031Anderson, William N. jun.; Trapp, George E. 2 1976 Cascade addition of matrices. Zbl 0297.15022Anderson, William N. jun.; Reynolds, Donald; Trapp, George 2 1975 The harmonic and geometric mean of vectors. Zbl 0643.15005Anderson, W. N. jun.; Trapp, G. E. 2 1987 Matrix operations induced by network connections. II. Zbl 0419.94023Anderson, William N. jun.; Trapp, George E. 1 1977 Partitioning methods for accelerating Gauss-Seidel iterations. Zbl 0287.65027Ryan, David; Trapp, George 1 1974 Solving nonlinear Vandermonde systems. Zbl 0311.65041Trapp, G. E. jun.; Squire, William 1 1975 The Riccati equation and the geometric mean. Zbl 0576.15008Trapp, George 1 1985 Sets of positive operators with suprema. Zbl 0703.15018Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 1 1990 An alternate variational characterization of matrix Riccati equation solutions. Zbl 0715.93021Ando, T.; Bunce, J.; Trapp, G. 1 1990 The density of ones in Pascal’s rhombus. Zbl 0935.11009Goldwasser, John; Klostermeyer, William; Mays, Michael; Trapp, George 4 1999 Using complex variables to estimate derivatives of real functions. Zbl 0913.65014Squire, William; Trapp, George 83 1998 Characterizing switch-setting problems. Zbl 0890.15004Goldwasser, John; Klostermeyer, William; Trapp, George 14 1997 A Pascal rhombus. Zbl 0908.11005Klostermeyer, William F.; Mays, Michael E.; Soltes, Lubomir; Trapp, George 2 1997 Positive solutions to \(X=A-BX^{-1}B^*\). Zbl 0702.15009Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 71 1990 Sets of positive operators with suprema. Zbl 0703.15018Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 1 1990 An alternate variational characterization of matrix Riccati equation solutions. Zbl 0715.93021Ando, T.; Bunce, J.; Trapp, G. 1 1990 The cascade limit, the shorted operator and quadratic optimal control. Zbl 0675.93020Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 6 1988 The extreme points of a set of positive semidefinite operators. Zbl 0657.15018Anderson, William N. jun.; Trapp, George E. 5 1988 A recursive algorithm to invert multiblock circulant matrices. Zbl 0671.65019Baker, J.; Hiergeist, F.; Trapp, G. 3 1988 The contraharmonic mean of HSD matrices. Zbl 0641.15009Anderson, William N. jun.; Mays, Michael E.; Morley, Thomas D.; Trapp, George E. 4 1987 The harmonic and geometric mean of vectors. Zbl 0643.15005Anderson, W. N. jun.; Trapp, G. E. 2 1987 Cascade addition and subtraction of matrices. Zbl 0607.15008Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 4 1986 Inverse problems for means of matrices. Zbl 0596.15010Anderson, William N. jun.; Trapp, George E. 3 1986 Eigenvalues of the difference and product of projections. Zbl 0593.15004Anderson, William N. jun.; Harner, E. James; Trapp, George E. 9 1985 The structure of multi-block circulants. Zbl 0583.15014Baker, J.; Hiergeist, F.; Trapp, G. 3 1985 The Riccati equation and the geometric mean. Zbl 0576.15008Trapp, George 1 1985 Hermitian semidefinite matrix means and related matrix inequalities. An introduction. Zbl 0548.15013Trapp, George E. 19 1984 Symmetric function means of positive operators. Zbl 0575.47001Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 9 1984 Ladder networks, fixpoints, and the geometric mean. Zbl 0526.94017Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 30 1983 Analytic operator functions and electrical networks. Zbl 0501.15014Anderson, W. N.; Trapp, G. E. 2 1982 Characterization of parallel subtraction. Zbl 0456.47022Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 26 1979 Matrix operations induced by electrical network connections - a survey. Zbl 0444.94034Anderson, W. N. jun.; Trapp, G. E. 8 1979 Fenchel duality of nonlinear networks. Zbl 0392.94016Anderson, William N. jun.; Morley, T. D.; Trapp, George E. 4 1978 Matrix operations induced by network connections. II. Zbl 0419.94023Anderson, William N. jun.; Trapp, George E. 1 1977 A class of monotone operator functions related to electrical network theory. Zbl 0363.47031Anderson, William N. jun.; Trapp, George E. 2 1976 Shorted operators. II. Zbl 0295.47032Anderson, W. N. jun.; Trapp, G. E. 133 1975 Matrix operations induced by network connections. Zbl 0269.94015Anderson, William N. jun.; Duffin, Richard J.; Trapp, George E. 11 1975 On hybrid addition of matrices. Zbl 0311.15001Mitra, Sujit Kumar; Trapp, George E. 5 1975 Inequalities for the parallel connection of resistive n-port networks. Zbl 0349.94044Anderson, William N. jun.; Trapp, George E. 4 1975 Cascade addition of matrices. Zbl 0297.15022Anderson, William N. jun.; Reynolds, Donald; Trapp, George 2 1975 Solving nonlinear Vandermonde systems. Zbl 0311.65041Trapp, G. E. jun.; Squire, William 1 1975 Partitioning methods for accelerating Gauss-Seidel iterations. Zbl 0287.65027Ryan, David; Trapp, George 1 1974 Inverses of circulant matrices and block circulant matrices. Zbl 0271.15003Trapp, George E. 5 1973 Parallel subtraction of matrices. Zbl 0348.15007Anderson, W. N. jun.; Duffin, R. J.; Trapp, G. E. 13 1972 Hybrid addition of matrices - network theory concept. Zbl 0268.15010Duffin, R. J.; Trapp, G. E. 7 1972 all cited Publications top 5 cited Publications all top 5 Cited by 523 Authors 16 Trapp, George E. jun. 14 Morley, Thomas D. 12 Anderson, William N. jun. 12 Mitra, Sujit Kumar 11 Maestripieri, Alejandra L. 10 El-Sayed, Salah M. 8 Arlins’kyĭ, Yuriĭ Moĭseĭovych 7 Contino, Maximiliano 7 Titkos, Tamás 6 Corach, Gustavo 6 Hasanov, Vejdi Ismailov 6 Stojanoff, Demetrio 5 Chen, Guoliang 5 Lim, Yongdo 5 Ma, Changfeng 5 Prasad, K. Manjunatha 5 Zingg, David W. 4 Al-Dubiban, Asmaa M. 4 Deng, Chunyuan 4 Giribet, Juan Ignacio 4 Mazure, Marie-Laurence 4 Puri, Madan Lal 4 Ramadan, Mohamed Abdel-Latif 4 Sagaut, Pierre 3 Antezana, Jorge 3 Arias, M. Laura 3 Bunce, John Winston 3 El-Shazly, Naglaa M. 3 Guo, Chun-Hua 3 Hicken, Jason E. 3 Huang, Na 3 Ivanov, Ivan Ganchev 3 Khadivi, Mohammad R. 3 Leutwiler, Heinz 3 Marcantognini, Stefania A. M. 3 Mays, Michael E. 3 Metz, Volker 3 Millwater, Harry R. 3 Pekarev, Edward L. 3 Sebestyén, Zoltán 3 Tarcsay, Zsigmond 3 Tian, Xiaoyi 3 Wu, Guoxing 3 Xu, Qingxiang 3 Zhou, Duanmei 2 Aguirre-Mesa, Andres M. 2 Al-Dbiban, Asmaa M. 2 Al-Mohy, Awad H. 2 Aristizabal, Mauricio 2 Baksalary, Oskar Maria 2 Banks, Harvey Thomas 2 Bapat, Ravindra Bhalchandra 2 Bekele-Maxwell, Kidist 2 Berger-Vergiat, Luc 2 Berzig, Maher 2 Bociu, Lorena 2 Brown, David A. 2 Burg, Clarence O. E. 2 Cai, Jing 2 Chaiken, Seth 2 Chiang, Chun-Yueh 2 Cottle, Richard W. 2 Cvetković-Ilić, Dragana S. 2 Djikić, Marko S. 2 Duffin, Richard James 2 Erfanifar, Raziyeh 2 Eriksson-Bique, Sirkka-Liisa A. 2 Fortin, André 2 García, Manuel J. 2 Gheondea, Aurelian 2 Goldwasser, John L. 2 Green, William L. 2 Guidoboni, Giovanna 2 Hansen, Frank-Peter 2 Hartwig, Robert E. 2 Hassi, Seppo 2 Hiai, Fumio 2 Higham, Nicholas J. 2 Huang, Baohua 2 Jain, Surender Kumar 2 Klostermeyer, William F. 2 Kosaki, Hideki 2 Lam, James 2 Liao, Anping 2 Liu, Aijing 2 Long, Jianhui 2 Masoudi, Mohsen 2 Meini, Beatrice 2 Mohammadi, Bijan 2 Molnár, Lajos 2 Montoya, Arturo 2 Moshe, Yossi 2 Nocedal, Jorge 2 Noorman, Marcella 2 Nussbaum, Roger David 2 Pálfia, Miklós 2 Peng, Zhenyun 2 Putkaradze, Vakhtang 2 Ramirez-Tamayo, Daniel 2 Ran, André C. M. ...and 423 more Authors all top 5 Cited in 140 Serials 80 Linear Algebra and its Applications 19 Applied Mathematics and Computation 17 Journal of Mathematical Analysis and Applications 17 Linear and Multilinear Algebra 13 Journal of Computational Physics 11 Journal of Computational and Applied Mathematics 10 Computer Methods in Applied Mechanics and Engineering 7 Integral Equations and Operator Theory 6 Circuits, Systems, and Signal Processing 5 Computers and Fluids 5 Mathematische Annalen 5 Advances in Applied Mathematics 5 Numerical Algorithms 5 Abstract and Applied Analysis 4 Journal of the Franklin Institute 4 Mathematics of Computation 4 SIAM Journal on Algebraic and Discrete Methods 4 Acta Mathematica Hungarica 4 International Journal of Computer Mathematics 4 Positivity 3 Journal of Functional Analysis 3 Aequationes Mathematicae 3 Journal of Mathematical Sciences (New York) 3 ELA. The Electronic Journal of Linear Algebra 3 Optimization and Engineering 3 Complex Analysis and Operator Theory 3 Nonlinear Analysis. Theory, Methods & Applications 2 Acta Mechanica 2 Computers & Mathematics with Applications 2 Discrete Mathematics 2 Journal of Mathematical Physics 2 Mathematical Biosciences 2 Advances in Mathematics 2 Automatica 2 Proceedings of the American Mathematical Society 2 Theoretical Computer Science 2 Bulletin of the Iranian Mathematical Society 2 Applied Numerical Mathematics 2 Applied Mathematics Letters 2 Numerical Linear Algebra with Applications 2 Filomat 2 Engineering Analysis with Boundary Elements 2 Journal of Inequalities and Applications 2 Structural and Multidisciplinary Optimization 2 Operators and Matrices 2 International Journal of Analysis 1 American Mathematical Monthly 1 Applicable Analysis 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Journal of Fluid Mechanics 1 Journal of Statistical Physics 1 Mathematical Notes 1 Mathematische Semesterberichte 1 Psychometrika 1 Reports on Mathematical Physics 1 Ukrainian Mathematical Journal 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Bulletin of Mathematical Biology 1 Mathematics Magazine 1 Acta Scientiarum Mathematicarum 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series B 1 Journal of the Korean Mathematical Society 1 Journal of Multivariate Analysis 1 Journal of Number Theory 1 Journal of Pure and Applied Algebra 1 Journal of Statistical Planning and Inference 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Quarterly of Applied Mathematics 1 RAIRO. Analyse Numérique 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Statistics 1 Optimization 1 Graphs and Combinatorics 1 Algorithmica 1 Journal of Scientific Computing 1 Neural Networks 1 International Journal of Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 Journal of Elasticity 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Celestial Mechanics and Dynamical Astronomy 1 SIAM Journal on Optimization 1 Russian Mathematics 1 Potential Analysis 1 Computational Optimization and Applications ...and 40 more Serials all top 5 Cited in 46 Fields 166 Linear and multilinear algebra; matrix theory (15-XX) 113 Operator theory (47-XX) 107 Numerical analysis (65-XX) 36 Functional analysis (46-XX) 23 Fluid mechanics (76-XX) 19 Mechanics of deformable solids (74-XX) 19 Information and communication theory, circuits (94-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 16 Combinatorics (05-XX) 16 Operations research, mathematical programming (90-XX) 14 Systems theory; control (93-XX) 13 Real functions (26-XX) 10 Computer science (68-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Statistics (62-XX) 8 Measure and integration (28-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Number theory (11-XX) 7 Potential theory (31-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 General topology (54-XX) 6 Probability theory and stochastic processes (60-XX) 5 Functions of a complex variable (30-XX) 5 Partial differential equations (35-XX) 4 Associative rings and algebras (16-XX) 4 Ordinary differential equations (34-XX) 4 Difference and functional equations (39-XX) 4 Approximations and expansions (41-XX) 4 Integral equations (45-XX) 4 Mechanics of particles and systems (70-XX) 4 Quantum theory (81-XX) 3 Convex and discrete geometry (52-XX) 3 Differential geometry (53-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Biology and other natural sciences (92-XX) 2 Field theory and polynomials (12-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year