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## Stewart, William J.

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 Author ID: stewart.william-j Published as: Stewart, William J.; Stewart, W. J.
 Documents Indexed: 41 Publications since 1975, including 4 Books
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#### 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 Fletcher, G. Y. 1 Jennings, Alan 1 Jungblut-Hessel, Roberta 1 Klevans, Richard L. 1 Kontovasilis, Kimon P. 1 Koury, J. R. 1 Marie, Raymond A. 1 Perros, Harry G. 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 Ycart, Bernard
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#### Serials

 4 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 Journal of the Institute of Mathematics and its 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
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#### Fields

 29 Probability theory and stochastic processes (60-XX) 27 Numerical analysis (65-XX) 9 Operations research, mathematical programming (90-XX) 8 Computer science (68-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 General and overarching topics; collections (00-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

31 Publications have been cited 499 times in 371 Documents Cited by Year
Introduction to the numerical solution of Markov chains. Zbl 0821.65099
Stewart, William J.
1994
The Kronecker product and stochastic automata networks. Zbl 1104.68062
Langville, Amy N.; Stewart, William J.
2004
Probability, Markov chains, queues, and simulation. The mathematical basis of performance modeling. Zbl 1176.60003
Stewart, William J.
2009
A simultaneous iteration algorithm for real matrices. Zbl 0455.65028
Stewart, William J.; Jennings, Alan
1981
Numerical methods in Markov chain modeling. Zbl 0764.65095
Philippe, Bernard; Saad, Youcef; Stewart, William J.
1992
Simultaneous iteration for partial eigensolution of real matrices. Zbl 0307.65042
Jennings, A.; Stewart, W. J.
1975
Iterative aggregation/disaggregation techniques for nearly uncoupled Markov chains. Zbl 0628.65145
Cao, Weilu; Stewart, William J.
1985
Iterative methods for computing stationary distributions of nearly completely decomposable Markov chains. Zbl 0605.60064
Koury, J. R.; McAllister, D. F.; Stewart, W. J.
1984
A numerical study of large sparse matrix exponentials arising in Markov chains. Zbl 1042.65508
Sidje, Roger B.; Stewart, William J.
1999
A comparison of numerical techniques in Markov modeling. Zbl 0383.65067
Stewart, William J.
1978
Efficient descriptor-vector multiplications in stochastic automata networks. Zbl 1065.68578
Fernandes, Paulo; Plateau, Brigitte; Stewart, William J.
1998
The numerical solution of stochastic automata networks. Zbl 0914.90112
Stewart, William J.; Atif, Karim; Plateau, Brigitte
1995
Block cyclic SOR for Markov chains with $$p$$-cyclic infinitesimal generator. Zbl 0736.65094
Kontovasilis, Kimon; Plemmons, Robert J.; Stewart, William J.
1991
Comparison of partitioning techniques for two-level iterative solvers on large, sparse Markov chains. Zbl 0957.60076
Dayar, Tuugrul; Stewart, William J.
2000
A Kronecker product approximate preconditioner for SANs. Zbl 1164.65396
Langville, Amy N.; Stewart, William J.
2004
On a Rayleigh-Ritz refinement technique for nearly uncoupled stochastic matrices. Zbl 0539.65018
McAllister, D. F.; Stewart, G. W.; Stewart, W. J.
1984
A numerical solution for the $$\lambda(n)/C_2/r/N$$ queue. Zbl 0433.60094
Stewart, William J.; Marie, Raymond
1980
On the effects of using the Grassmann-Taksar-Heyman method in iterative aggregation-disaggregation. Zbl 0840.60062
Dayar, Tuğrul; Stewart, William J.
1996
A two-stage iteration for solving nearly completely decomposable Markov chains. Zbl 0804.65148
Stewart, G. W.; Stewart, W. J.; McAllister, D. F.
1994
Quasi lumpability, lower-bounding coupling matrices, and nearly completely decomposable Markov chains. Zbl 0876.60054
Dayar, Tuğrul; Stewart, William J.
1997
Numerical experiments with iteration and aggregation for Markov chains. Zbl 0760.60065
Stewart, William J.; Wu, Wei
1992
Explicit and iterative numerical approaches to solving queueing models. Zbl 0569.60093
Snyder, Patricia M.; Stewart, William J.
1985
A queueing system where customers require a random number of servers simultaneously. Zbl 0582.90035
Fletcher, G. Y.; Perros, H. G.; Stewart, W. J.
1986
Numerical methods for computing stationary distributions of finite irreducible Markov chains. Zbl 0942.65010
Stewart, William J.
2000
On the use of periodicity properties for the efficient numerical solution of certain Markov chains. Zbl 0839.65154
Bonhoure, François; Dallery, Yves; Stewart, William J.
1994
Phase-type distributions in stochastic automata networks. Zbl 1144.90338
Sbeity, I.; Brenner, L.; Plateau, B.; Stewart, W. J.
2008
Stochastic automata networks. Zbl 0945.65010
Plateau, Brigitte; Stewart, William J.
2000
A note on inverses of Hessenberg-like matrices. Zbl 0617.65018
Cao, Wei-Lu; Stewart, William J.
1986
Testing the nearest Kronecker product preconditioner on Markov chains and stochastic automata networks. Zbl 1239.65006
Langville, Amy N.; Stewart, William J.
2004
Performance modelling and Markov chains. Zbl 1323.68057
Stewart, William J.
2007
MARCA: Markov chain analyzer, a software package for Markov modeling. Zbl 0735.68097
Stewart, William J.
1991
Probability, Markov chains, queues, and simulation. The mathematical basis of performance modeling. Zbl 1176.60003
Stewart, William J.
2009
Phase-type distributions in stochastic automata networks. Zbl 1144.90338
Sbeity, I.; Brenner, L.; Plateau, B.; Stewart, W. J.
2008
Performance modelling and Markov chains. Zbl 1323.68057
Stewart, William J.
2007
The Kronecker product and stochastic automata networks. Zbl 1104.68062
Langville, Amy N.; Stewart, William J.
2004
A Kronecker product approximate preconditioner for SANs. Zbl 1164.65396
Langville, Amy N.; Stewart, William J.
2004
Testing the nearest Kronecker product preconditioner on Markov chains and stochastic automata networks. Zbl 1239.65006
Langville, Amy N.; Stewart, William J.
2004
Comparison of partitioning techniques for two-level iterative solvers on large, sparse Markov chains. Zbl 0957.60076
Dayar, Tuugrul; Stewart, William J.
2000
Numerical methods for computing stationary distributions of finite irreducible Markov chains. Zbl 0942.65010
Stewart, William J.
2000
Stochastic automata networks. Zbl 0945.65010
Plateau, Brigitte; Stewart, William J.
2000
A numerical study of large sparse matrix exponentials arising in Markov chains. Zbl 1042.65508
Sidje, Roger B.; Stewart, William J.
1999
Efficient descriptor-vector multiplications in stochastic automata networks. Zbl 1065.68578
Fernandes, Paulo; Plateau, Brigitte; Stewart, William J.
1998
Quasi lumpability, lower-bounding coupling matrices, and nearly completely decomposable Markov chains. Zbl 0876.60054
Dayar, Tuğrul; Stewart, William J.
1997
On the effects of using the Grassmann-Taksar-Heyman method in iterative aggregation-disaggregation. Zbl 0840.60062
Dayar, Tuğrul; Stewart, William J.
1996
The numerical solution of stochastic automata networks. Zbl 0914.90112
Stewart, William J.; Atif, Karim; Plateau, Brigitte
1995
Introduction to the numerical solution of Markov chains. Zbl 0821.65099
Stewart, William J.
1994
A two-stage iteration for solving nearly completely decomposable Markov chains. Zbl 0804.65148
Stewart, G. W.; Stewart, W. J.; McAllister, D. F.
1994
On the use of periodicity properties for the efficient numerical solution of certain Markov chains. Zbl 0839.65154
Bonhoure, François; Dallery, Yves; Stewart, William J.
1994
Numerical methods in Markov chain modeling. Zbl 0764.65095
Philippe, Bernard; Saad, Youcef; Stewart, William J.
1992
Numerical experiments with iteration and aggregation for Markov chains. Zbl 0760.60065
Stewart, William J.; Wu, Wei
1992
Block cyclic SOR for Markov chains with $$p$$-cyclic infinitesimal generator. Zbl 0736.65094
Kontovasilis, Kimon; Plemmons, Robert J.; Stewart, William J.
1991
MARCA: Markov chain analyzer, a software package for Markov modeling. Zbl 0735.68097
Stewart, William J.
1991
A queueing system where customers require a random number of servers simultaneously. Zbl 0582.90035
Fletcher, G. Y.; Perros, H. G.; Stewart, W. J.
1986
A note on inverses of Hessenberg-like matrices. Zbl 0617.65018
Cao, Wei-Lu; Stewart, William J.
1986
Iterative aggregation/disaggregation techniques for nearly uncoupled Markov chains. Zbl 0628.65145
Cao, Weilu; Stewart, William J.
1985
Explicit and iterative numerical approaches to solving queueing models. Zbl 0569.60093
Snyder, Patricia M.; Stewart, William J.
1985
Iterative methods for computing stationary distributions of nearly completely decomposable Markov chains. Zbl 0605.60064
Koury, J. R.; McAllister, D. F.; Stewart, W. J.
1984
On a Rayleigh-Ritz refinement technique for nearly uncoupled stochastic matrices. Zbl 0539.65018
McAllister, D. F.; Stewart, G. W.; Stewart, W. J.
1984
A simultaneous iteration algorithm for real matrices. Zbl 0455.65028
Stewart, William J.; Jennings, Alan
1981
A numerical solution for the $$\lambda(n)/C_2/r/N$$ queue. Zbl 0433.60094
Stewart, William J.; Marie, Raymond
1980
A comparison of numerical techniques in Markov modeling. Zbl 0383.65067
Stewart, William J.
1978
Simultaneous iteration for partial eigensolution of real matrices. Zbl 0307.65042
Jennings, A.; Stewart, W. J.
1975
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#### Cited by 641 Authors

 11 Buchholz, Peter 11 Dayar, Tugrul 11 Marek, Ivo 10 Wei, Yimin 8 Bernardo, Marco 8 Chakravarthy, Srinivas R. 7 Stewart, William J. 6 Benzi, Michele 6 Hadjidimos, Apostolos 6 Xiang, Hua 5 Huang, Ting-Zhu 5 Mayer, Petr 5 Noutsos, Dimitrios 5 Wen, Chun 5 Wolf, Verena 4 Ali, M. Syed 4 Diao, Huaian 4 Dijkstra, Henk A. 4 Hermanns, Holger 4 Kemper, Peter 4 Kressner, Daniel 4 Sandmann, Werner 4 Sidje, Roger B. 4 Sztrik, János 4 Szyld, Daniel B. 3 Cao, Jinde 3 Chan, Raymond Hon-Fu 3 Dallery, Yves 3 De Sterck, Hans 3 Fourneau, Jean-Michel 3 Miller, Killian 3 Orhan, M. Can 3 Plateau, Brigitte D. 3 Plemmons, Robert James 3 Pultarová, Ivana 3 Saad, Yousef 3 Semal, Pierre 3 Shen, Zhaoli 3 Song, Qiang 3 Tang, Yuanyan 3 Tini, Simone 3 Usha, Mahalingam 3 Yang, Luxing 3 Yang, Xiaofan 3 Zhang, Lijun 2 Acebrón, Juan A. 2 Almási, Béla 2 Balbo, Gianfranco 2 Ballarini, Paolo 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 Ching, Wai-Ki 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 Gu, Xian-Ming 2 Gurgur, Cigdem Z. 2 Haviv, Moshe 2 Henzinger, Thomas A. 2 Horváth, András 2 Jansen, David N. 2 Jobstmann, Barbara 2 Kahl, Karsten 2 Katoen, Joost-Pieter 2 Ke, Jauchuan 2 Klimenok, Valentina Ivanovna 2 Krieger, Udo R. 2 Lanotte, Ruggero 2 Ledoux, James 2 Li, Hongjie 2 Li, Na 2 Li, Quanlin 2 Liang, Jie 2 Lin, Chuenhorng 2 Liu, Fang 2 Lotti, Grazia 2 Marin, Andrea 2 McAllister, David F. 2 Menchi, Ornella 2 Migallón, Violeta 2 Neumann, Michael 2 Ng, Michael Kwok-Po 2 Nielsen, Bo Friis 2 Oksuzoglu, Hakan 2 Paris, Richard Bruce 2 Pekergin, Nihal 2 Penadés, José 2 Reenberg Andersen, Anders 2 Reinhardt, Line Blander ...and 541 more Authors
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#### Cited in 135 Serials

 31 Linear Algebra and its Applications 21 European Journal of Operational Research 19 Numerical Linear Algebra with Applications 17 Journal of Computational and Applied Mathematics 14 Applied Mathematics and Computation 13 Theoretical Computer Science 11 Computers & Mathematics with Applications 10 Computers & Operations Research 8 Numerische Mathematik 7 Annals of Operations Research 6 SIAM Journal on Algebraic and Discrete Methods 6 Mathematical Problems in Engineering 5 Journal of Computational Physics 5 Stochastic Models 4 Bulletin of Mathematical Biology 4 Applied Numerical Mathematics 4 Information and Computation 3 Computer Methods in Applied Mechanics and Engineering 3 BIT 3 Journal of Applied Probability 3 Statistics & Probability Letters 3 Mathematical and Computer Modelling 3 SIAM Journal on Matrix Analysis and Applications 3 Queueing Systems 3 Numerical Algorithms 3 Discrete Dynamics in Nature and Society 3 Probability in the Engineering and Informational Sciences 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 Computer and System Sciences 2 Mathematics and Computers in Simulation 2 Naval Research Logistics 2 Systems & Control 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 Cybernetics and Systems Analysis 2 SIAM Journal on Scientific Computing 2 Computational and Applied Mathematics 2 Methodology and Computing in Applied Probability 2 The Journal of Logic and Algebraic Programming 2 Multiscale Modeling & Simulation 2 Journal of Theoretical Biology 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 Lithuanian Mathematical Journal 1 Physics Reports 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 Soviet Mathematics 1 Journal of Statistical Planning and Inference 1 Kybernetika 1 Meccanica 1 Theoretical Population Biology 1 OR Spektrum 1 Science of Computer Programming 1 Operations Research Letters 1 American Journal of Mathematical and Management Sciences 1 Physica D 1 International Journal of Approximate Reasoning 1 Applied Mathematics Letters 1 Trabajos de Investigacion Operativa 1 Journal of Scientific Computing 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 Applied Mathematical Modelling 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 1 Advances in Engineering Software 1 Formal Methods in System Design 1 Physics of Fluids 1 Journal of Mathematical Sciences (New York) ...and 35 more Serials
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#### Cited in 30 Fields

 151 Probability theory and stochastic processes (60-XX) 148 Numerical analysis (65-XX) 85 Operations research, mathematical programming (90-XX) 79 Computer science (68-XX) 47 Linear and multilinear algebra; matrix theory (15-XX) 28 Biology and other natural sciences (92-XX) 25 Systems theory; control (93-XX) 14 Statistics (62-XX) 13 Ordinary differential equations (34-XX) 11 Fluid mechanics (76-XX) 9 Combinatorics (05-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Information and communication theory, circuits (94-XX) 3 Mathematical logic and foundations (03-XX) 3 Partial differential equations (35-XX) 3 Approximations and expansions (41-XX) 3 Operator theory (47-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-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)