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Nash, Stephen G.

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Author ID: nash.stephen-g Recent zbMATH articles by "Nash, Stephen G."
Published as: Nash, Stephen G.; Nash, Stephen; Nash, S.
Documents Indexed: 36 Publications since 1979, including 3 Books

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 663 times in 555 Documents Cited by Year
A Hessenberg-Schur method for the problem AX+XB=C. Zbl 0421.65022
Golub, Gene H.; Nash, S.; Van Loan, Charles F.
223
1979
Numerical methods and software. With disc. Zbl 0744.65002
Kahaner, David; Moler, Cleve; Nash, Stephen
60
1989
Preconditioning of truncated-Newton methods. Zbl 0592.65038
Nash, Stephen G.
46
1985
Newton-type minimization via the Lanczos method. Zbl 0558.65041
Nash, Stephen G.
42
1984
A survey of truncated-Newton methods. Zbl 0969.65054
Nash, Stephen G.
39
2000
A numerical study of the limited memory BFGS method an the truncated- Newton method for large scale optimization. Zbl 0756.65091
Nash, Stephen G.; Nocedal, Jorge
37
1991
A multigrid approach to discretized optimization problems. Zbl 0988.90040
Nash, Stephen G.
35
2000
Linear and nonlinear optimization. 2nd ed. Zbl 1159.90002
Griva, Igor; Nash, Stephen G.; Sofer, Ariela
34
2009
Model problems for the multigrid optimization of systems governed by differential equations. Zbl 1119.65346
Lewis, Robert Michael; Nash, Stephen G.
27
2005
Approaches to robust pole assignment. Zbl 0666.93042
Byers, Ralph; Nash, Stephen G.
17
1989
Assessing a search direction within a truncated Newton method. Zbl 0706.90073
Nash, Stephen G.; Sofer, Ariela
14
1990
On the singular “vectors” of the Lyapunov operator. Zbl 0633.65042
Byers, Ralph; Nash, Stephen
13
1987
A numerical comparison of barrier and modified barrier methods for large- scale bound-constrained optimization. Zbl 0811.90101
Nash, Stephen G.; Polyak, R.; Sofer, Ariela
12
1994
Preconditioning reduced matrices. Zbl 0851.65018
Nash, Stephen G.; Sofer, Ariela
8
1996
Block truncated-Newton methods for parallel optimization. Zbl 0689.90060
Nash, Stephen G.; Sofer, Ariela
7
1989
A barrier method for large-scale constrained optimization. Zbl 0774.90078
Nash, Stephen G.; Sofer, Ariela
7
1993
Bounds for the error in linear systems. Zbl 0417.65018
Dahlquist, Germund; Golub, Gene H.; Nash, Stephen G.
6
1979
A general-pupose parallel algorithm for unconstrained optimization. Zbl 0754.90054
Nash, Stephen G.; Sofer, Ariela
4
1991
Properties of a class of multilevel optimization algorithms for equality-constrained problems. Zbl 1282.65070
Nash, Stephen G.
4
2014
Using inexact gradients in a multilevel optimization algorithm. Zbl 1276.90069
Lewis, Robert Michael; Nash, Stephen G.
4
2013
A truncated Newton-based multigrid algorithm for centroidal Voronoi diagram calculation. Zbl 1265.65035
Di, Zichao; Emelianenko, Maria; Nash, Stephen
4
2012
Assessing the performance of an optimization-based multilevel method. Zbl 1228.65091
Nash, Stephen G.; Lewis, Robert Michael
3
2011
An adaptive truncation criterion, for linesearch-based truncated Newton methods in large scale nonconvex optimization. Zbl 07064413
Caliciotti, Andrea; Fasano, Giovanni; Nash, Stephen G.; Roma, Massimo
3
2018
Optimization algorithms for hierarchical problems with application to nano-porous materials. (Optimization algorithms for hierarchical problems with application to nanoporous materials.) Zbl 1266.49064
Boggs, Paul T.; Gay, David M.; Griffiths, Stewart K.; Lewis, Robert Michael; Long, Kevin R.; Nash, Stephen; Nilson, Robert H.
3
2012
On the complexity of a practical interior-point method. Zbl 0915.90222
Nash, Stephen G.; Sofer, Ariela
2
1998
Algorithm 711: BTN: Software for parallel unconstrained optimization. Zbl 0892.65035
Nash, Stephen G.; Sofer, Ariela
2
1992
Factors affecting the performance of optimization-based multigrid methods. Zbl 1100.90045
Lewis, Robert Michael; Nash, Stephen G.
1
2006
Nonorthogonal analysis of variance using a generalized conjugate-gradient algorithm. Zbl 0482.62061
Golub, Gene H.; Nash, Stephen G.
1
1982
The impact of emerging technologies on computer science and operations research. Based on a conference on computer science and operations research: the impact of emerging technology. Zbl 0813.00012
Nash, Stephen G. (ed.); Sofer, Ariela (ed.)
1
1995
Solving nonlinear programming problems using truncated-Newton techniques. Zbl 0565.65035
Nash, Stephen G.
1
1985
SUMT. (Revisited). Zbl 1009.90002
Nash, Stephen G.
1
1998
Practical aspects of multiscale optimization methods for VLSICAD. Zbl 1165.90645
Lewis, Robert Michael; Nash, Stephen G.
1
2003
Numerical techniques in nonparametric estimation. Zbl 0636.62035
Klonias, V. K.; Nash, Stephen G.
1
1987
An adaptive truncation criterion, for linesearch-based truncated Newton methods in large scale nonconvex optimization. Zbl 07064413
Caliciotti, Andrea; Fasano, Giovanni; Nash, Stephen G.; Roma, Massimo
3
2018
Properties of a class of multilevel optimization algorithms for equality-constrained problems. Zbl 1282.65070
Nash, Stephen G.
4
2014
Using inexact gradients in a multilevel optimization algorithm. Zbl 1276.90069
Lewis, Robert Michael; Nash, Stephen G.
4
2013
A truncated Newton-based multigrid algorithm for centroidal Voronoi diagram calculation. Zbl 1265.65035
Di, Zichao; Emelianenko, Maria; Nash, Stephen
4
2012
Optimization algorithms for hierarchical problems with application to nano-porous materials. (Optimization algorithms for hierarchical problems with application to nanoporous materials.) Zbl 1266.49064
Boggs, Paul T.; Gay, David M.; Griffiths, Stewart K.; Lewis, Robert Michael; Long, Kevin R.; Nash, Stephen; Nilson, Robert H.
3
2012
Assessing the performance of an optimization-based multilevel method. Zbl 1228.65091
Nash, Stephen G.; Lewis, Robert Michael
3
2011
Linear and nonlinear optimization. 2nd ed. Zbl 1159.90002
Griva, Igor; Nash, Stephen G.; Sofer, Ariela
34
2009
Factors affecting the performance of optimization-based multigrid methods. Zbl 1100.90045
Lewis, Robert Michael; Nash, Stephen G.
1
2006
Model problems for the multigrid optimization of systems governed by differential equations. Zbl 1119.65346
Lewis, Robert Michael; Nash, Stephen G.
27
2005
Practical aspects of multiscale optimization methods for VLSICAD. Zbl 1165.90645
Lewis, Robert Michael; Nash, Stephen G.
1
2003
A survey of truncated-Newton methods. Zbl 0969.65054
Nash, Stephen G.
39
2000
A multigrid approach to discretized optimization problems. Zbl 0988.90040
Nash, Stephen G.
35
2000
On the complexity of a practical interior-point method. Zbl 0915.90222
Nash, Stephen G.; Sofer, Ariela
2
1998
SUMT. (Revisited). Zbl 1009.90002
Nash, Stephen G.
1
1998
Preconditioning reduced matrices. Zbl 0851.65018
Nash, Stephen G.; Sofer, Ariela
8
1996
The impact of emerging technologies on computer science and operations research. Based on a conference on computer science and operations research: the impact of emerging technology. Zbl 0813.00012
Nash, Stephen G.; Sofer, Ariela
1
1995
A numerical comparison of barrier and modified barrier methods for large- scale bound-constrained optimization. Zbl 0811.90101
Nash, Stephen G.; Polyak, R.; Sofer, Ariela
12
1994
A barrier method for large-scale constrained optimization. Zbl 0774.90078
Nash, Stephen G.; Sofer, Ariela
7
1993
Algorithm 711: BTN: Software for parallel unconstrained optimization. Zbl 0892.65035
Nash, Stephen G.; Sofer, Ariela
2
1992
A numerical study of the limited memory BFGS method an the truncated- Newton method for large scale optimization. Zbl 0756.65091
Nash, Stephen G.; Nocedal, Jorge
37
1991
A general-pupose parallel algorithm for unconstrained optimization. Zbl 0754.90054
Nash, Stephen G.; Sofer, Ariela
4
1991
Assessing a search direction within a truncated Newton method. Zbl 0706.90073
Nash, Stephen G.; Sofer, Ariela
14
1990
Numerical methods and software. With disc. Zbl 0744.65002
Kahaner, David; Moler, Cleve; Nash, Stephen
60
1989
Approaches to robust pole assignment. Zbl 0666.93042
Byers, Ralph; Nash, Stephen G.
17
1989
Block truncated-Newton methods for parallel optimization. Zbl 0689.90060
Nash, Stephen G.; Sofer, Ariela
7
1989
On the singular “vectors” of the Lyapunov operator. Zbl 0633.65042
Byers, Ralph; Nash, Stephen
13
1987
Numerical techniques in nonparametric estimation. Zbl 0636.62035
Klonias, V. K.; Nash, Stephen G.
1
1987
Preconditioning of truncated-Newton methods. Zbl 0592.65038
Nash, Stephen G.
46
1985
Solving nonlinear programming problems using truncated-Newton techniques. Zbl 0565.65035
Nash, Stephen G.
1
1985
Newton-type minimization via the Lanczos method. Zbl 0558.65041
Nash, Stephen G.
42
1984
Nonorthogonal analysis of variance using a generalized conjugate-gradient algorithm. Zbl 0482.62061
Golub, Gene H.; Nash, Stephen G.
1
1982
A Hessenberg-Schur method for the problem AX+XB=C. Zbl 0421.65022
Golub, Gene H.; Nash, S.; Van Loan, Charles F.
223
1979
Bounds for the error in linear systems. Zbl 0417.65018
Dahlquist, Germund; Golub, Gene H.; Nash, Stephen G.
6
1979
all top 5

Cited by 897 Authors

12 Fasano, Giovanni
12 Jbilou, Khalide
10 Nash, Stephen G.
9 Roma, Massimo
8 Benner, Peter
7 Andrei, Neculai
7 Reichel, Lothar
6 Duan, Guangren
6 Wei, Yimin
5 Ahues, Mario Paul
5 Dehghan Takht Fooladi, Mehdi
5 Heyouni, Mohammed
5 Lam, James
5 Ma, Changfeng
5 Polyak, Roman A.
5 Toutounian, Faezeh
4 Bouhamidi, Abderrahman
4 Gratton, Serge
4 Hached, Mehrez
4 Li, Rencang
4 Martínez, José Mario
4 Navon, Ionel Michael
4 Vandewalle, Stefan G.
4 Xu, Shufang
3 Abdel-Aziz, Mohammedi R.
3 Al-Baali, Mehiddin
3 Borzì, Alfio
3 Boyd, Stephen Poythress
3 Caliciotti, Andrea
3 Calvetti, Daniela
3 Chen, Guoliang
3 Chen, Ke
3 Di, Zichao
3 Duan, Xuefeng
3 Golub, Gene Howard
3 Hajarian, Masoud
3 Horváth, Gábor
3 Huang, Ting-Zhu
3 Khojasteh Salkuyeh, Davod
3 Kojima, Masakazu
3 Kürschner, Patrick
3 Largillier, Alain
3 Lewis, Robert Michael
3 Li, Shengkun
3 Lin, Yiqin
3 Lucidi, Stefano
3 Makarov, Volodymyr Leonidovych
3 Mehrmann, Volker
3 Mittelmann, Hans Detlef
3 Mukaidani, Hiroaki
3 Parpas, Panos
3 Petkov, Petko Hr.
3 Robinson, Daniel P.
3 Simoncini, Valeria
3 Sun, Jiguang
3 Syrmos, Vassilis L.
3 Toint, Philippe L.
3 Vallejos, Michelle
3 Vasseur, Xavier
3 Wang, Qingwen
3 Wang, Xiang
3 Wild, Stefan M.
3 Wu, Aiguo
2 Bao, Liang
2 Bean, Nigel G.
2 Bergamaschi, Luca
2 Brossier, Romain
2 Byers, Ralph
2 Caiado, Camila C. S.
2 Carstensen, Carsten
2 Chen, Zhen
2 Chu, King-Wah Eric
2 Chun, Hon M.
2 Conforti, Domenico
2 Conn, Andrew Roger
2 Curtis, Frank E.
2 Datta, Biswa N.
2 Datta, Karabi
2 de Hoog, Frank Robert
2 Deif, Assem S.
2 Demmel, James Weldon
2 Diao, Huaian
2 Ding, Feng
2 Dragunov, Denys V.
2 Elbouyahyaoui, Lakhdar
2 Erway, Jennifer B.
2 Forsgren, Anders
2 Frandi, Emanuele
2 Gavrilyuk, Ivan P.
2 Gawlik, Evan S.
2 Gong, Wei
2 Griffin, Joshua D.
2 Grote, Marcus J.
2 Gu, Chuanqing
2 Guay, Martin
2 Guo, Chun-Hua
2 Hager, William W.
2 Harker, Matthew
2 Hernández, Vicente G.
2 Higham, Nicholas J.
...and 797 more Authors
all top 5

Cited in 158 Serials

38 Linear Algebra and its Applications
28 Applied Mathematics and Computation
25 Journal of Computational and Applied Mathematics
24 Computational Optimization and Applications
19 Journal of Optimization Theory and Applications
18 Computers & Mathematics with Applications
17 Automatica
15 Optimization Methods & Software
14 Numerical Algorithms
11 International Journal of Control
10 Journal of Computational Physics
10 Mathematical Programming. Series A. Series B
9 Mathematics of Computation
9 Numerical Functional Analysis and Optimization
9 Systems & Control Letters
8 Computing
8 International Journal of Computer Mathematics
8 SIAM Journal on Scientific Computing
8 Numerical Linear Algebra with Applications
7 Numerische Mathematik
7 Applied Numerical Mathematics
7 Journal of Global Optimization
7 SIAM Journal on Optimization
6 Linear and Multilinear Algebra
6 BIT
6 Journal of Scientific Computing
5 Computer Methods in Applied Mechanics and Engineering
5 Mathematics and Computers in Simulation
5 Applied Mathematical Modelling
5 European Journal of Operational Research
5 SIAM Review
5 Mathematical Problems in Engineering
5 Parallel Algorithms and Applications
4 Journal of the Franklin Institute
4 Applied Mathematics Letters
4 SIAM Journal on Matrix Analysis and Applications
4 Journal of Statistical Computation and Simulation
4 Optimization Letters
3 Computers and Fluids
3 International Journal of Systems Science
3 Kybernetika
3 Circuits, Systems, and Signal Processing
3 Optimization
3 Computers & Operations Research
3 Computational Mathematics and Mathematical Physics
3 Computational Statistics and Data Analysis
3 SIAM Journal on Imaging Sciences
2 Inverse Problems
2 Journal of Mathematical Analysis and Applications
2 Journal of Mathematical Biology
2 Calcolo
2 Theoretical Computer Science
2 Operations Research Letters
2 International Journal of Approximate Reasoning
2 Mathematical and Computer Modelling
2 Queueing Systems
2 Annals of Operations Research
2 Machine Learning
2 Automation and Remote Control
2 Journal of Computer and Systems Sciences International
2 Journal of Mathematical Sciences (New York)
2 Computational and Applied Mathematics
2 Advances in Computational Mathematics
2 Soft Computing
2 European Journal of Mechanics. B. Fluids
2 CEJOR. Central European Journal of Operations Research
2 Structural and Multidisciplinary Optimization
2 Inverse Problems in Science and Engineering
2 Mathematical Geosciences
2 Science China. Mathematics
2 Journal of Applied Analysis and Computation
2 SIAM/ASA Journal on Uncertainty Quantification
1 The Canadian Journal of Statistics
1 Communications in Mathematical Physics
1 Computer Physics Communications
1 Discrete Applied Mathematics
1 International Journal for Numerical Methods in Fluids
1 Journal of Fluid Mechanics
1 Journal of Statistical Physics
1 Mathematical Biosciences
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Bulletin of Mathematical Biology
1 Prikladnaya Matematika i Mekhanika
1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
1 Applied Mathematics and Optimization
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of the American Statistical Association
1 Journal of Economic Theory
1 Journal of Mathematical Economics
1 Operations Research
1 SIAM Journal on Control and Optimization
1 Moscow University Computational Mathematics and Cybernetics
1 Journal of Information & Optimization Sciences
1 SIAM Journal on Algebraic and Discrete Methods
1 Applied Mathematics and Mechanics. (English Edition)
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Complexity
1 Algorithmica
1 Computational Mechanics
1 Journal of Economic Dynamics & Control
...and 58 more Serials
all top 5

Cited in 41 Fields

342 Numerical analysis (65-XX)
158 Linear and multilinear algebra; matrix theory (15-XX)
156 Operations research, mathematical programming (90-XX)
82 Systems theory; control (93-XX)
44 Calculus of variations and optimal control; optimization (49-XX)
33 Partial differential equations (35-XX)
29 Computer science (68-XX)
22 Statistics (62-XX)
19 Fluid mechanics (76-XX)
17 Probability theory and stochastic processes (60-XX)
16 Ordinary differential equations (34-XX)
16 Biology and other natural sciences (92-XX)
15 Mechanics of deformable solids (74-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
12 Information and communication theory, circuits (94-XX)
9 Geophysics (86-XX)
8 Approximations and expansions (41-XX)
7 Operator theory (47-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Mechanics of particles and systems (70-XX)
4 Optics, electromagnetic theory (78-XX)
3 Algebraic geometry (14-XX)
3 Integral equations (45-XX)
2 History and biography (01-XX)
2 Combinatorics (05-XX)
2 Functions of a complex variable (30-XX)
2 Functional analysis (46-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Quantum theory (81-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

Citations by Year