Edit Profile Stewart, William J. Compute Distance To: Compute Author ID: stewart.william-j Published as: Stewart, W. J.; Stewart, William J. Documents Indexed: 41 Publications since 1975, including 4 Books all top 5 Co-Authors 11 single-authored 5 Plateau, Brigitte D. 3 Bonhoure, François 3 Dallery, Yves 3 Dayar, Tugrul 3 Langville, Amy N. 3 McAllister, David F. 2 Cao, Weilu 2 Stewart, Gilbert Wright 1 Atif, Karim 1 Brenner, Leonardo 1 Fernandes, Paulo 1 Jennings, Alan 1 Jungblut-Hessel, Roberta 1 Klevans, Richard L. 1 Kontovasilis, Kimon P. 1 Koury, J. R. 1 Marie, Raymond A. 1 Philippe, Bernard J. 1 Plemmons, Robert James 1 Saad, Yousef 1 Sbeity, I. 1 Sidje, Roger B. 1 Snyder, Patricia M. 1 Stohs, Wayne P. 1 Wu, Wei 1 Ycart, Bernard all top 5 Serials 3 European Journal of Operational Research 3 Linear Algebra and its Applications 2 Operations Research 2 SIAM Journal on Scientific Computing 2 Numerical Linear Algebra with Applications 1 ACM Transactions on Mathematical Software 1 Journal of the Association for Computing Machinery 1 Journal of Computational and Applied Mathematics 1 Performance Evaluation 1 SIAM Journal on Algebraic and Discrete Methods 1 SIAM Journal on Matrix Analysis and Applications 1 ORSA Journal on Computing 1 Communications of the ACM 1 IEEE Transactions on Software Engineering 1 Computational Statistics and Data Analysis 1 INFORMS Journal on Computing 1 Journal of the ACM 1 RAIRO. Operations Research all top 5 Fields 28 Probability theory and stochastic processes (60-XX) 26 Numerical analysis (65-XX) 8 Operations research, mathematical programming (90-XX) 7 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 33 Publications have been cited 533 times in 413 Documents Cited by ▼ Year ▼ Introduction to the numerical solution of Markov chains. Zbl 0821.65099Stewart, William J. 169 1994 The Kronecker product and stochastic automata networks. Zbl 1104.68062Langville, Amy N.; Stewart, William J. 36 2004 Probability, Markov chains, queues, and simulation. The mathematical basis of performance modeling. Zbl 1176.60003Stewart, William J. 33 2009 A simultaneous iteration algorithm for real matrices. Zbl 0455.65028Stewart, William J.; Jennings, Alan 30 1981 Numerical methods in Markov chain modeling. Zbl 0764.65095Philippe, Bernard; Saad, Youcef; Stewart, William J. 29 1992 Simultaneous iteration for partial eigensolution of real matrices. Zbl 0307.65042Jennings, A.; Stewart, W. J. 22 1975 Iterative aggregation/disaggregation techniques for nearly uncoupled Markov chains. Zbl 0628.65145Cao, Weilu; Stewart, William J. 20 1985 A comparison of numerical techniques in Markov modeling. Zbl 0383.65067Stewart, William J. 19 1978 A numerical study of large sparse matrix exponentials arising in Markov chains. Zbl 1042.65508Sidje, Roger B.; Stewart, William J. 17 1999 Efficient descriptor-vector multiplications in stochastic automata networks. Zbl 1065.68578Fernandes, Paulo; Plateau, Brigitte; Stewart, William J. 17 1998 Iterative methods for computing stationary distributions of nearly completely decomposable Markov chains. Zbl 0605.60064Koury, J. R.; McAllister, D. F.; Stewart, W. J. 17 1984 Block cyclic SOR for Markov chains with \(p\)-cyclic infinitesimal generator. Zbl 0736.65094Kontovasilis, Kimon; Plemmons, Robert J.; Stewart, William J. 15 1991 Comparison of partitioning techniques for two-level iterative solvers on large, sparse Markov chains. Zbl 0957.60076Dayar, Tuugrul; Stewart, William J. 14 2000 The numerical solution of stochastic automata networks. Zbl 0914.90112Stewart, William J.; Atif, Karim; Plateau, Brigitte 14 1995 A Kronecker product approximate preconditioner for SANs. Zbl 1164.65396Langville, Amy N.; Stewart, William J. 11 2004 On the effects of using the Grassmann-Taksar-Heyman method in iterative aggregation-disaggregation. Zbl 0840.60062Dayar, Tuğrul; Stewart, William J. 6 1996 A two-stage iteration for solving nearly completely decomposable Markov chains. Zbl 0804.65148Stewart, G. W.; Stewart, W. J.; McAllister, D. F. 6 1994 On a Rayleigh-Ritz refinement technique for nearly uncoupled stochastic matrices. Zbl 0539.65018McAllister, D. F.; Stewart, G. W.; Stewart, W. J. 6 1984 A numerical solution for the \(\lambda(n)/C_2/r/N\) queue. Zbl 0433.60094Stewart, William J.; Marie, Raymond 6 1980 Quasi lumpability, lower-bounding coupling matrices, and nearly completely decomposable Markov chains. Zbl 0876.60054Dayar, Tuğrul; Stewart, William J. 5 1997 Numerical experiments with iteration and aggregation for Markov chains. Zbl 0760.60065Stewart, William J.; Wu, Wei 5 1992 Numerical solution of Markov chains. Papers presented at a workshop, held January 8-10, 1990. Zbl 0733.00019Stewart, William J. (ed.) 5 1991 Numerical methods for computing stationary distributions of finite irreducible Markov chains. Zbl 0942.65010Stewart, William J. 4 2000 On the use of periodicity properties for the efficient numerical solution of certain Markov chains. Zbl 0839.65154Bonhoure, François; Dallery, Yves; Stewart, William J. 4 1994 A queueing system where customers require a random number of servers simultaneously. Zbl 0582.90035Fletcher, G. Y.; Perros, H. G.; Stewart, W. J. 4 1986 Explicit and iterative numerical approaches to solving queueing models. Zbl 0569.60093Snyder, Patricia M.; Stewart, William J. 4 1985 Phase-type distributions in stochastic automata networks. Zbl 1144.90338Sbeity, I.; Brenner, L.; Plateau, B.; Stewart, W. J. 3 2008 Stochastic automata networks. Zbl 0945.65010Plateau, Brigitte; Stewart, William J. 3 2000 Computations with Markov chains. Proceedings of the 2nd international workshop on the numerical solution of Markov chains, Raleigh, NC, USA, January 16–18, 1995. Zbl 0940.00042Stewart, William J. (ed.) 3 1995 Testing the nearest Kronecker product preconditioner on Markov chains and stochastic automata networks. Zbl 1239.65006Langville, Amy N.; Stewart, William J. 2 2004 A note on inverses of Hessenberg-like matrices. Zbl 0617.65018Cao, Wei-Lu; Stewart, William J. 2 1986 Performance modelling and Markov chains. Zbl 1323.68057Stewart, William J. 1 2007 MARCA: Markov chain analyzer, a software package for Markov modeling. Zbl 0735.68097Stewart, William J. 1 1991 Probability, Markov chains, queues, and simulation. The mathematical basis of performance modeling. Zbl 1176.60003Stewart, William J. 33 2009 Phase-type distributions in stochastic automata networks. Zbl 1144.90338Sbeity, I.; Brenner, L.; Plateau, B.; Stewart, W. J. 3 2008 Performance modelling and Markov chains. Zbl 1323.68057Stewart, William J. 1 2007 The Kronecker product and stochastic automata networks. Zbl 1104.68062Langville, Amy N.; Stewart, William J. 36 2004 A Kronecker product approximate preconditioner for SANs. Zbl 1164.65396Langville, Amy N.; Stewart, William J. 11 2004 Testing the nearest Kronecker product preconditioner on Markov chains and stochastic automata networks. Zbl 1239.65006Langville, Amy N.; Stewart, William J. 2 2004 Comparison of partitioning techniques for two-level iterative solvers on large, sparse Markov chains. Zbl 0957.60076Dayar, Tuugrul; Stewart, William J. 14 2000 Numerical methods for computing stationary distributions of finite irreducible Markov chains. Zbl 0942.65010Stewart, William J. 4 2000 Stochastic automata networks. Zbl 0945.65010Plateau, Brigitte; Stewart, William J. 3 2000 A numerical study of large sparse matrix exponentials arising in Markov chains. Zbl 1042.65508Sidje, Roger B.; Stewart, William J. 17 1999 Efficient descriptor-vector multiplications in stochastic automata networks. Zbl 1065.68578Fernandes, Paulo; Plateau, Brigitte; Stewart, William J. 17 1998 Quasi lumpability, lower-bounding coupling matrices, and nearly completely decomposable Markov chains. Zbl 0876.60054Dayar, Tuğrul; Stewart, William J. 5 1997 On the effects of using the Grassmann-Taksar-Heyman method in iterative aggregation-disaggregation. Zbl 0840.60062Dayar, Tuğrul; Stewart, William J. 6 1996 The numerical solution of stochastic automata networks. Zbl 0914.90112Stewart, William J.; Atif, Karim; Plateau, Brigitte 14 1995 Computations with Markov chains. Proceedings of the 2nd international workshop on the numerical solution of Markov chains, Raleigh, NC, USA, January 16–18, 1995. Zbl 0940.00042Stewart, William J. (ed.) 3 1995 Introduction to the numerical solution of Markov chains. Zbl 0821.65099Stewart, William J. 169 1994 A two-stage iteration for solving nearly completely decomposable Markov chains. Zbl 0804.65148Stewart, G. W.; Stewart, W. J.; McAllister, D. F. 6 1994 On the use of periodicity properties for the efficient numerical solution of certain Markov chains. Zbl 0839.65154Bonhoure, François; Dallery, Yves; Stewart, William J. 4 1994 Numerical methods in Markov chain modeling. Zbl 0764.65095Philippe, Bernard; Saad, Youcef; Stewart, William J. 29 1992 Numerical experiments with iteration and aggregation for Markov chains. Zbl 0760.60065Stewart, William J.; Wu, Wei 5 1992 Block cyclic SOR for Markov chains with \(p\)-cyclic infinitesimal generator. Zbl 0736.65094Kontovasilis, Kimon; Plemmons, Robert J.; Stewart, William J. 15 1991 Numerical solution of Markov chains. Papers presented at a workshop, held January 8-10, 1990. Zbl 0733.00019Stewart, William J. (ed.) 5 1991 MARCA: Markov chain analyzer, a software package for Markov modeling. Zbl 0735.68097Stewart, William J. 1 1991 A queueing system where customers require a random number of servers simultaneously. Zbl 0582.90035Fletcher, G. Y.; Perros, H. G.; Stewart, W. J. 4 1986 A note on inverses of Hessenberg-like matrices. Zbl 0617.65018Cao, Wei-Lu; Stewart, William J. 2 1986 Iterative aggregation/disaggregation techniques for nearly uncoupled Markov chains. Zbl 0628.65145Cao, Weilu; Stewart, William J. 20 1985 Explicit and iterative numerical approaches to solving queueing models. Zbl 0569.60093Snyder, Patricia M.; Stewart, William J. 4 1985 Iterative methods for computing stationary distributions of nearly completely decomposable Markov chains. Zbl 0605.60064Koury, J. R.; McAllister, D. F.; Stewart, W. J. 17 1984 On a Rayleigh-Ritz refinement technique for nearly uncoupled stochastic matrices. Zbl 0539.65018McAllister, D. F.; Stewart, G. W.; Stewart, W. J. 6 1984 A simultaneous iteration algorithm for real matrices. Zbl 0455.65028Stewart, William J.; Jennings, Alan 30 1981 A numerical solution for the \(\lambda(n)/C_2/r/N\) queue. Zbl 0433.60094Stewart, William J.; Marie, Raymond 6 1980 A comparison of numerical techniques in Markov modeling. Zbl 0383.65067Stewart, William J. 19 1978 Simultaneous iteration for partial eigensolution of real matrices. Zbl 0307.65042Jennings, A.; Stewart, W. J. 22 1975 all cited Publications top 5 cited Publications all top 5 Cited by 733 Authors 12 Marek, Ivo 11 Buchholz, Peter 11 Dayar, Tugrul 10 Wei, Yimin 8 Bernardo, Marco 8 Chakravarthy, Srinivas R. 8 Stewart, William J. 6 Benzi, Michele 6 Hadjidimos, Apostolos 6 Hermanns, Holger 6 Wolf, Verena 6 Xiang, Hua 5 Huang, Ting-Zhu 5 Mayer, Petr 5 Noutsos, Dimitrios 5 Pultarová, Ivana 5 Wen, Chun 4 Ali, M. Syed 4 Dallery, Yves 4 Diao, Huaian 4 Dijkstra, Henk A. 4 Horváth, András 4 Katoen, Joost-Pieter 4 Kemper, Peter 4 Kressner, Daniel 4 Saad, Yousef 4 Sandmann, Werner 4 Sidje, Roger B. 4 Sztrik, János 4 Szyld, Daniel B. 3 Angius, Alessio 3 Balbo, Gianfranco 3 Ballarini, Paolo 3 Cao, Jinde 3 Chan, Raymond Hon-Fu 3 Ching, Wai-Ki 3 De Sterck, Hans 3 Fourneau, Jean-Michel 3 Gómez-Corral, Antonio 3 Henzinger, Thomas A. 3 Melikov, Agassi Z. 3 Miller, Killian 3 Ng, Michael Kwok-Po 3 Orhan, M. Can 3 Plateau, Brigitte D. 3 Plemmons, Robert James 3 Semal, Pierre 3 Shen, Zhaoli 3 Song, Qiang 3 Usha, Mahalingam 3 Zhang, Lijun 2 Acebrón, Juan A. 2 Almási, Béla 2 Altiok, Tayfur 2 Balsamo, Simonetta 2 Barlow, Jesse L. 2 Baumann, Hendrik 2 Bolten, Matthias 2 Botta, Eugen F. F. 2 Bravetti, Mario 2 Cao, Youfang 2 Carrasco, Juan Antonio 2 Dudin, Alexander N. 2 Elsayed, Khaled M. F. 2 Favati, Paola 2 Fernandes, Paulo 2 Funderlic, Robert E. 2 Galanis, Sofoklis 2 Gebler, Daniel E. 2 Gleich, David F. 2 Grassmann, Winfried K. 2 Gu, Xian-Ming 2 Gurgur, Cigdem Z. 2 Haviv, Moshe 2 Ho, Diem 2 Jansen, David N. 2 Jobstmann, Barbara 2 Kahl, Karsten 2 Ke, Jauchuan 2 Klimenok, Valentina Ivanovna 2 Krieger, Udo R. 2 Kublanovskaya, Vera Nikolaevna 2 Ledoux, James 2 Li, Hongjie 2 Li, Na 2 Li, Quanlin 2 Liang, Jie 2 Lin, Chuenhorng 2 Lin, Wen-Wei 2 Liu, Fang 2 Lotti, Grazia 2 Lu, Linzhang 2 MacNamara, Shev F. 2 Marin, Andrea 2 McAllister, David F. 2 Menchi, Ornella 2 Migallón, Violeta 2 Narahari, Yadati 2 Neumann, Michael 2 Nielsen, Bo Friis ...and 633 more Authors all top 5 Cited in 137 Serials 36 Linear Algebra and its Applications 27 European Journal of Operational Research 20 Numerical Linear Algebra with Applications 19 Journal of Computational and Applied Mathematics 19 Theoretical Computer Science 15 Applied Mathematics and Computation 12 Computers & Mathematics with Applications 11 Computers & Operations Research 9 Numerische Mathematik 8 Annals of Operations Research 6 SIAM Journal on Algebraic and Discrete Methods 6 Mathematical Problems in Engineering 5 Journal of Computational Physics 5 Applied Numerical Mathematics 5 Information and Computation 5 Stochastic Models 4 Bulletin of Mathematical Biology 4 Probability in the Engineering and Informational Sciences 3 Computer Methods in Applied Mechanics and Engineering 3 BIT 3 Journal of Applied Probability 3 Journal of Computer and System Sciences 3 Statistics & Probability Letters 3 Mathematical and Computer Modelling 3 SIAM Journal on Matrix Analysis and Applications 3 Queueing Systems 3 Journal of Scientific Computing 3 Numerical Algorithms 3 Applied Mathematical Modelling 3 Cybernetics and Systems Analysis 3 Journal of Mathematical Sciences (New York) 3 The Journal of Logic and Algebraic Programming 3 Journal of Theoretical Biology 3 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 Acta Informatica 2 Advances in Applied Probability 2 Journal of the Franklin Institute 2 Linear and Multilinear Algebra 2 Mathematics of Computation 2 Computing 2 Journal of Soviet Mathematics 2 Mathematics and Computers in Simulation 2 Naval Research Logistics 2 Systems & Control Letters 2 Operations Research Letters 2 Asia-Pacific Journal of Operational Research 2 Applications of Mathematics 2 Communications in Statistics. Simulation and Computation 2 Communications in Statistics. Theory and Methods 2 International Journal of Computer Mathematics 2 SIAM Review 2 International Journal of Robust and Nonlinear Control 2 SIAM Journal on Scientific Computing 2 Computational and Applied Mathematics 2 Discrete Dynamics in Nature and Society 2 Methodology and Computing in Applied Probability 2 Multiscale Modeling & Simulation 1 International Journal of Modern Physics B 1 Computers and Fluids 1 Computer Physics Communications 1 International Journal of Control 1 International Journal of Mathematical Education in Science and Technology 1 International Journal for Numerical Methods in Fluids 1 Journal of Fluid Mechanics 1 Journal of Statistical Physics 1 Mathematical Biosciences 1 Physics Reports 1 Chaos, Solitons and Fractals 1 Automatica 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Journal of Econometrics 1 Journal of Optimization Theory and Applications 1 Journal of Statistical Planning and Inference 1 Kybernetika 1 Meccanica 1 Theoretical Population Biology 1 Cybernetics 1 OR Spektrum 1 Science of Computer Programming 1 American Journal of Mathematical and Management Sciences 1 Physica D 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 International Journal of Approximate Reasoning 1 Applied Mathematics Letters 1 Trabajos de Investigacion Operativa 1 Formal Aspects of Computing 1 Journal of Parallel and Distributed Computing 1 Neural Networks 1 Journal of Applied Mathematics and Stochastic Analysis 1 Neural Computation 1 International Journal of Adaptive Control and Signal Processing 1 The Annals of Applied Probability 1 International Journal of Foundations of Computer Science 1 Journal of Statistical Computation and Simulation 1 Pattern Recognition 1 Computational Statistics and Data Analysis 1 Mathematical Programming. Series A. Series B 1 Archive of Applied Mechanics 1 SIAM Journal on Optimization ...and 37 more Serials all top 5 Cited in 31 Fields 172 Numerical analysis (65-XX) 163 Probability theory and stochastic processes (60-XX) 93 Operations research, mathematical programming (90-XX) 88 Computer science (68-XX) 49 Linear and multilinear algebra; matrix theory (15-XX) 36 Biology and other natural sciences (92-XX) 25 Systems theory; control (93-XX) 16 Ordinary differential equations (34-XX) 15 Statistics (62-XX) 12 Fluid mechanics (76-XX) 10 Combinatorics (05-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Partial differential equations (35-XX) 3 Mathematical logic and foundations (03-XX) 3 Approximations and expansions (41-XX) 3 Operator theory (47-XX) 3 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Citations by Year