Edit Profile (opens in new tab) Trapp, George E. jun. Co-Author Distance 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: 17 Co-Authors with 46 Joint Publications 256 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 Ando, Tsuyoshi 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 38 Publications have been cited 565 times in 438 Documents Cited by ▼ Year ▼ Shorted operators. II. Zbl 0295.47032 Anderson, W. N. jun.; Trapp, G. E. 147 1975 Using complex variables to estimate derivatives of real functions. Zbl 0913.65014 Squire, William; Trapp, George 95 1998 Positive solutions to \(X=A-BX^{-1}B^*\). Zbl 0702.15009 Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 78 1990 Ladder networks, fixpoints, and the geometric mean. Zbl 0526.94017 Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 38 1983 Characterization of parallel subtraction. Zbl 0456.47022 Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 26 1979 Hermitian semidefinite matrix means and related matrix inequalities. An introduction. Zbl 0548.15013 Trapp, George E. 20 1984 Characterizing switch-setting problems. Zbl 0890.15004 Goldwasser, John; Klostermeyer, William; Trapp, George 14 1997 Parallel subtraction of matrices. Zbl 0348.15007 Anderson, W. N. jun.; Duffin, R. J.; Trapp, G. E. 13 1972 The cascade limit, the shorted operator and quadratic optimal control. Zbl 0675.93020 Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 11 1988 Matrix operations induced by network connections. Zbl 0269.94015 Anderson, William N. jun.; Duffin, Richard J.; Trapp, George E. 11 1975 Eigenvalues of the difference and product of projections. Zbl 0593.15004 Anderson, William N. jun.; Harner, E. James; Trapp, George E. 10 1985 Symmetric function means of positive operators. Zbl 0575.47001 Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 9 1984 Hybrid addition of matrices - network theory concept. Zbl 0268.15010 Duffin, R. J.; Trapp, G. E. 9 1972 Matrix operations induced by electrical network connections - a survey. Zbl 0444.94034 Anderson, W. N. jun.; Trapp, G. E. 8 1979 The Riccati equation and the geometric mean. Zbl 0576.15008 Trapp, George 7 1985 Inverses of circulant matrices and block circulant matrices. Zbl 0271.15003 Trapp, George E. 7 1973 On hybrid addition of matrices. Zbl 0311.15001 Mitra, Sujit Kumar; Trapp, George E. 6 1975 The extreme points of a set of positive semidefinite operators. Zbl 0657.15018 Anderson, William N. jun.; Trapp, George E. 5 1988 The contraharmonic mean of HSD matrices. Zbl 0641.15009 Anderson, William N. jun.; Mays, Michael E.; Morley, Thomas D.; Trapp, George E. 4 1987 Cascade addition and subtraction of matrices. Zbl 0607.15008 Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 4 1986 Fenchel duality of nonlinear networks. Zbl 0392.94016 Anderson, William N. jun.; Morley, T. D.; Trapp, George E. 4 1978 Inequalities for the parallel connection of resistive n-port networks. Zbl 0349.94044 Anderson, William N. jun.; Trapp, George E. 4 1975 A class of monotone operator functions related to electrical network theory. Zbl 0363.47031 Anderson, William N. jun.; Trapp, George E. 4 1976 The density of ones in Pascal’s rhombus. Zbl 0935.11009 Goldwasser, John; Klostermeyer, William; Mays, Michael; Trapp, George 4 1999 A recursive algorithm to invert multiblock circulant matrices. Zbl 0671.65019 Baker, J.; Hiergeist, F.; Trapp, G. 3 1988 The structure of multi-block circulants. Zbl 0583.15014 Baker, J.; Hiergeist, F.; Trapp, G. 3 1985 Inverse problems for means of matrices. Zbl 0596.15010 Anderson, William N. jun.; Trapp, George E. 3 1986 A Pascal rhombus. Zbl 0908.11005 Klostermeyer, William F.; Mays, Michael E.; Soltes, Lubomir; Trapp, George 3 1997 The harmonic and geometric mean of vectors. Zbl 0643.15005 Anderson, W. N. jun.; Trapp, G. E. 2 1987 An alternate variational characterization of matrix Riccati equation solutions. Zbl 0715.93021 Ando, T.; Bunce, J.; Trapp, G. 2 1990 Sets of positive operators with suprema. Zbl 0703.15018 Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 2 1990 Analytic operator functions and electrical networks. Zbl 0501.15014 Anderson, W. N.; Trapp, G. E. 2 1982 Cascade addition of matrices. Zbl 0297.15022 Anderson, William N. jun.; Reynolds, Donald; Trapp, George 2 1975 Infinite networks and quadratic optimal control. Zbl 0703.93010 Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 1 1990 Matrix operations induced by network connections. II. Zbl 0419.94023 Anderson, William N. jun.; Trapp, George E. 1 1977 Partitioning methods for accelerating Gauss-Seidel iterations. Zbl 0287.65027 Ryan, David; Trapp, George 1 1974 Solving nonlinear Vandermonde systems. Zbl 0311.65041 Trapp, G. E. jun.; Squire, William 1 1975 An algebra of operator networks. Zbl 0352.94031 Anderson, William N. jun.; Trapp, George E. 1 1976 The density of ones in Pascal’s rhombus. Zbl 0935.11009 Goldwasser, John; Klostermeyer, William; Mays, Michael; Trapp, George 4 1999 Using complex variables to estimate derivatives of real functions. Zbl 0913.65014 Squire, William; Trapp, George 95 1998 Characterizing switch-setting problems. Zbl 0890.15004 Goldwasser, John; Klostermeyer, William; Trapp, George 14 1997 A Pascal rhombus. Zbl 0908.11005 Klostermeyer, William F.; Mays, Michael E.; Soltes, Lubomir; Trapp, George 3 1997 Positive solutions to \(X=A-BX^{-1}B^*\). Zbl 0702.15009 Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 78 1990 An alternate variational characterization of matrix Riccati equation solutions. Zbl 0715.93021 Ando, T.; Bunce, J.; Trapp, G. 2 1990 Sets of positive operators with suprema. Zbl 0703.15018 Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 2 1990 Infinite networks and quadratic optimal control. Zbl 0703.93010 Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 1 1990 The cascade limit, the shorted operator and quadratic optimal control. Zbl 0675.93020 Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 11 1988 The extreme points of a set of positive semidefinite operators. Zbl 0657.15018 Anderson, William N. jun.; Trapp, George E. 5 1988 A recursive algorithm to invert multiblock circulant matrices. Zbl 0671.65019 Baker, J.; Hiergeist, F.; Trapp, G. 3 1988 The contraharmonic mean of HSD matrices. Zbl 0641.15009 Anderson, William N. jun.; Mays, Michael E.; Morley, Thomas D.; Trapp, George E. 4 1987 The harmonic and geometric mean of vectors. Zbl 0643.15005 Anderson, W. N. jun.; Trapp, G. E. 2 1987 Cascade addition and subtraction of matrices. Zbl 0607.15008 Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 4 1986 Inverse problems for means of matrices. Zbl 0596.15010 Anderson, William N. jun.; Trapp, George E. 3 1986 Eigenvalues of the difference and product of projections. Zbl 0593.15004 Anderson, William N. jun.; Harner, E. James; Trapp, George E. 10 1985 The Riccati equation and the geometric mean. Zbl 0576.15008 Trapp, George 7 1985 The structure of multi-block circulants. Zbl 0583.15014 Baker, J.; Hiergeist, F.; Trapp, G. 3 1985 Hermitian semidefinite matrix means and related matrix inequalities. An introduction. Zbl 0548.15013 Trapp, George E. 20 1984 Symmetric function means of positive operators. Zbl 0575.47001 Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 9 1984 Ladder networks, fixpoints, and the geometric mean. Zbl 0526.94017 Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 38 1983 Analytic operator functions and electrical networks. Zbl 0501.15014 Anderson, W. N.; Trapp, G. E. 2 1982 Characterization of parallel subtraction. Zbl 0456.47022 Anderson, W. N. jun.; Morley, T. D.; Trapp, G. E. 26 1979 Matrix operations induced by electrical network connections - a survey. Zbl 0444.94034 Anderson, W. N. jun.; Trapp, G. E. 8 1979 Fenchel duality of nonlinear networks. Zbl 0392.94016 Anderson, William N. jun.; Morley, T. D.; Trapp, George E. 4 1978 Matrix operations induced by network connections. II. Zbl 0419.94023 Anderson, William N. jun.; Trapp, George E. 1 1977 A class of monotone operator functions related to electrical network theory. Zbl 0363.47031 Anderson, William N. jun.; Trapp, George E. 4 1976 An algebra of operator networks. Zbl 0352.94031 Anderson, William N. jun.; Trapp, George E. 1 1976 Shorted operators. II. Zbl 0295.47032 Anderson, W. N. jun.; Trapp, G. E. 147 1975 Matrix operations induced by network connections. Zbl 0269.94015 Anderson, William N. jun.; Duffin, Richard J.; Trapp, George E. 11 1975 On hybrid addition of matrices. Zbl 0311.15001 Mitra, Sujit Kumar; Trapp, George E. 6 1975 Inequalities for the parallel connection of resistive n-port networks. Zbl 0349.94044 Anderson, William N. jun.; Trapp, George E. 4 1975 Cascade addition of matrices. Zbl 0297.15022 Anderson, William N. jun.; Reynolds, Donald; Trapp, George 2 1975 Solving nonlinear Vandermonde systems. Zbl 0311.65041 Trapp, G. E. jun.; Squire, William 1 1975 Partitioning methods for accelerating Gauss-Seidel iterations. Zbl 0287.65027 Ryan, David; Trapp, George 1 1974 Inverses of circulant matrices and block circulant matrices. Zbl 0271.15003 Trapp, George E. 7 1973 Parallel subtraction of matrices. Zbl 0348.15007 Anderson, W. N. jun.; Duffin, R. J.; Trapp, G. E. 13 1972 Hybrid addition of matrices - network theory concept. Zbl 0268.15010 Duffin, R. J.; Trapp, G. E. 9 1972 all cited Publications top 5 cited Publications all top 5 Cited by 591 Authors 16 Trapp, George E. jun. 15 Maestripieri, Alejandra L. 14 Morley, Thomas D. 12 Anderson, William N. jun. 12 Mitra, Sujit Kumar 10 Contino, Maximiliano 10 El-Sayed, Salah M. 8 Ando, Tsuyoshi 8 Arlins’kyĭ, Yuriĭ Moĭseĭovych 8 Corach, Gustavo 7 Li, Jing 7 Titkos, Tamás 6 Ma, Changfeng 6 Stojanoff, Demetrio 6 Tarcsay, Zsigmond 5 Arias, M. Laura 5 Chen, Guoliang 5 Lim, Yongdo 5 Marcantognini, Stefania A. M. 5 Prasad, K. Manjunatha 5 Sebestyén, Zoltán 5 Zingg, David W. 4 Al-Dubiban, Asmaa M. 4 Deng, Chunyuan 4 Erfanifar, Raziyeh 4 Giribet, Juan Ignacio 4 Huang, Na 4 Mazure, Marie-Laurence 4 Millwater, Harry R. 4 Puri, Madan Lal 4 Ramadan, Mohamed Abdel-Latif 4 Sagaut, Pierre 4 Sayevand, Khosro 4 Tian, Xiaoyi 4 Xu, Qingxiang 4 Zhang, Yuhai 3 Aguirre-Mesa, Andres M. 3 Antezana, Jorge 3 Bunce, John Winston 3 El-Shazly, Naglaa M. 3 Fortin, André 3 García, Manuel J. 3 Guo, Chun-Hua 3 Ivanov, Ivan Ganchev 3 Khadivi, Mohammad R. 3 Leutwiler, Heinz 3 Mays, Michael E. 3 Metz, Volker 3 Pekarev, Edward L. 3 Peng, Zhenyun 3 Wu, Guoxing 3 Yakoubi, Driss 3 Zhou, Duanmei 2 Al-Dbiban, Asmaa M. 2 Al-Mohy, Awad H. 2 Aristizabal, Mauricio 2 Arslan, Bahar 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 Eriksson-Bique, Sirkka-Liisa A. 2 Esmaeili, Hamid 2 Fongi, Guillermina 2 Gheondea, Aurelian 2 Goldwasser, John L. 2 Green, William L. 2 Guidoboni, Giovanna 2 Hajarian, Masoud 2 Hansen, Frank-Peter 2 Hartwig, Robert E. 2 Hasanov, Vejdi Ismailov 2 Hassi, Seppo 2 Hiai, Fumio 2 Higham, Nicholas J. 2 Hossein, Sk. Monowar 2 Huang, Baohua 2 Jain, Surender Kumar 2 Kittaneh, Fuad 2 Klostermeyer, William F. 2 Kosaki, Hideki 2 Kubo, Fumio 2 Kuo, Yueh-Cheng 2 Lam, James 2 Liao, Anping 2 Liu, Aijing 2 Long, Jianhui 2 Masoudi, Mohsen ...and 491 more Authors all top 5 Cited in 158 Serials 87 Linear Algebra and its Applications 20 Linear and Multilinear Algebra 19 Applied Mathematics and Computation 18 Journal of Mathematical Analysis and Applications 13 Journal of Computational Physics 12 Computer Methods in Applied Mechanics and Engineering 12 Journal of Computational and Applied Mathematics 7 Integral Equations and Operator Theory 7 Abstract and Applied Analysis 6 Computers and Fluids 6 Circuits, Systems, and Signal Processing 5 Mathematische Annalen 5 Advances in Applied Mathematics 5 Numerical Algorithms 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 Computers & Mathematics with Applications 3 Automatica 3 Journal of Functional Analysis 3 Applied Mathematics Letters 3 SIAM Journal on Matrix Analysis and Applications 3 Aequationes Mathematicae 3 Journal of Mathematical Sciences (New York) 3 Engineering Analysis with Boundary Elements 3 ELA. The Electronic Journal of Linear Algebra 3 Mathematical Problems in Engineering 3 Optimization and Engineering 3 Complex Analysis and Operator Theory 3 Banach Journal of Mathematical Analysis 3 Nonlinear Analysis. Theory, Methods & Applications 2 Acta Mechanica 2 Discrete Mathematics 2 Journal of Mathematical Physics 2 Mathematical Biosciences 2 Reports on Mathematical Physics 2 Advances in Mathematics 2 Journal of the Korean Mathematical Society 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Theoretical Computer Science 2 Bulletin of the Iranian Mathematical Society 2 Applied Numerical Mathematics 2 Optimization 2 SIAM Journal on Optimization 2 Numerical Linear Algebra with Applications 2 Computational and Applied Mathematics 2 Filomat 2 Journal of Inequalities and Applications 2 Journal of Applied Mathematics 2 Journal of Applied Mathematics and Computing 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 International Journal for Numerical Methods in Fluids 1 Journal of Fluid Mechanics 1 Journal of Statistical Physics 1 Mathematical Notes 1 Mathematische Semesterberichte 1 Psychometrika 1 Ukrainian Mathematical Journal 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Bulletin of Mathematical Biology 1 Mathematics Magazine 1 ACM Transactions on Mathematical Software 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 Multivariate Analysis 1 Journal of Number Theory 1 Journal of Optimization Theory and Applications 1 Journal of Pure and Applied Algebra 1 Journal of Statistical Planning and Inference 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Quaestiones Mathematicae 1 Quarterly of Applied Mathematics 1 RAIRO. Analyse Numérique 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Results in Mathematics 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 Graphs and Combinatorics 1 Algorithmica ...and 58 more Serials all top 5 Cited in 47 Fields 192 Linear and multilinear algebra; matrix theory (15-XX) 130 Operator theory (47-XX) 130 Numerical analysis (65-XX) 39 Functional analysis (46-XX) 26 Fluid mechanics (76-XX) 22 Mechanics of deformable solids (74-XX) 21 Operations research, mathematical programming (90-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 19 Information and communication theory, circuits (94-XX) 17 Combinatorics (05-XX) 16 Systems theory; control (93-XX) 13 Real functions (26-XX) 10 Statistics (62-XX) 10 Computer science (68-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Number theory (11-XX) 8 Measure and integration (28-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Probability theory and stochastic processes (60-XX) 7 Potential theory (31-XX) 7 General topology (54-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Functions of a complex variable (30-XX) 6 Quantum theory (81-XX) 5 Ordinary differential equations (34-XX) 5 Partial differential equations (35-XX) 5 Difference and functional equations (39-XX) 5 Approximations and expansions (41-XX) 4 Associative rings and algebras (16-XX) 4 Integral equations (45-XX) 4 Convex and discrete geometry (52-XX) 4 Mechanics of particles and systems (70-XX) 4 Biology and other natural sciences (92-XX) 3 Differential geometry (53-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Field theory and polynomials (12-XX) 2 Several complex variables and analytic spaces (32-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 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year