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Davis, Timothy Alden

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 Author ID: davis.timothy-a Published as: Davis, Timothy A. External Links: MGP
 Documents Indexed: 42 Publications since 1988, including 4 Books
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Co-Authors

 9 single-authored 8 Hager, William W. 5 Duff, Iain S. 3 Hadfield, Steven M. 2 Amestoy, Patrick R. 2 Gilbert, John R. 2 Larimore, Stefan I. 2 Ng, Esmond G. 2 Sid-Lakhdar, Wissam M. 2 Sigmon, Kermit 2 Yeralan, Sencer Nuri 1 Boman, Erik G. 1 Cannataro, Begüm Şenses 1 Davidson, Edward S. 1 Donfack, Simplice 1 Enseeith-Irit 1 Escobedo, Adolfo R. 1 Foster, Leslie V. 1 Gartland, Eugene C. jun. 1 Grigori, Laura 1 Hu, Yifan 1 Hungerford, James T. 1 Johnson, Theodore F. 1 Kolodziej, Scott P. 1 Lourenco, Christopher 1 Moreno-Centeno, Erick 1 Nakov, Stojce 1 Natarajan, E. Palamadai 1 Palamadai Natarajan, Ekanathan 1 Park, Soonchul 1 Rajamanickam, Sivasankaran 1 Ranka, Sanjay 1 Rao, Anil V. 1 Rashid, Tariq 1 Yew, Pen-Chung
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Serials

 16 ACM Transactions on Mathematical Software 8 SIAM Journal on Matrix Analysis and Applications 2 Mathematical Programming. Series A. Series B 1 IEEE Transactions on Computers 1 SIAM Journal on Numerical Analysis 1 Parallel Computing 1 Computational Optimization and Applications 1 SIAM Journal on Scientific Computing 1 Congressus Numerantium 1 Acta Numerica 1 Fundamentals of Algorithms
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Fields

 37 Numerical analysis (65-XX) 7 Operations research, mathematical programming (90-XX) 6 Combinatorics (05-XX) 3 Computer science (68-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX)

Citations contained in zbMATH Open

33 Publications have been cited 1,332 times in 1,052 Documents Cited by Year
The University of Florida sparse matrix collection. Zbl 1365.65123
Davis, Timothy A.; Hu, Yifan
2011
Algorithm 832: UMFPACK V4.3 – an unsymmetric-pattern multifrontal method. Zbl 1072.65037
Davis, Timothy A.
2004
Direct methods for sparse linear systems. Zbl 1119.65021
Davis, Timothy A.
2006
An unsymmetric-pattern multifrontal method for sparse LU factorization. Zbl 0884.65021
Davis, Timothy A.; Duff, Iain S.
1997
An approximate minimum degree ordering algorithm. Zbl 0861.65021
Amestoy, Patrick R.; Davis, Timothy A.; Duff, Iain S.
1996
A combined unifrontal/multifrontal method for unsymmetric sparse matrices. Zbl 0962.65027
Davis, Timothy A.; Duff, Jain S.
1999
A column pre-ordering strategy for the unsymmetric-pattern multifrontal method. Zbl 1072.65036
Davis, Timothy A.
2004
Algorithm 837: AMD, an approximate minimum degree ordering algorithm. Zbl 1070.65534
Amestoy, Patrick R.; Enseeith-Irit; Davis, Timothy A.; Duff, Iain S.
2004
Finite element analysis of the Landau-de Gennes minimization problem for liquid crystals. Zbl 0908.65120
Davis, Timothy A.; Gartland, Eugene C. jun.
1998
Algorithm 915: SuiteSparseQR: multifrontal multithreaded rank-revealing sparse QR factorization. Zbl 1365.65122
Davis, Timothy A.
2011
A column approximate minimum degree ordering algorithm. Zbl 1073.65039
Davis, Timothy A.; Gilbert, John R.; Larimore, Stefan I.; Ng, Esmond G.
2004
Modifying a sparse Cholesky factorization. Zbl 0929.65012
Davis, Timothy A.; Hager, William W.
1999
Algorithm 849: A concise sparse Cholesky factorization package. Zbl 1136.65311
Davis, Timothy A.
2005
Multiple-rank modifications of a sparse Cholesky factorization. Zbl 1049.65021
Davis, Timothy A.; Hager, William W.
2001
Row modifications of a sparse Cholesky factorization. Zbl 1077.65026
Davis, Timothy A.; Hager, William W.
2005
MATLAB Primer. 6th ed. Zbl 1017.93002
Sigmon, Kermit; Davis, Timothy A.
2002
A survey of direct methods for sparse linear systems. Zbl 1346.65011
Davis, Timothy A.; Rajamanickam, Sivasankaran; Sid-Lakhdar, Wissam M.
2016
Algorithm 907: KLU: a direct sparse solver for circuit simulation problems. Zbl 1364.65066
Davis, Timothy A.; Palamadai Natarajan, Ekanathan
2010
MATLAB primer. 8th ed. Zbl 1200.93001
Davis, Timothy A.
2010
Algorithm 836: COLAMD, a column approximate minimum degree ordering algorithm. Zbl 1070.65535
Davis, Timothy A.; Gilbert, John R.; Larimore, Stefan I.; Ng, Esmond G.
2004
An efficient hybrid algorithm for the separable convex quadratic knapsack problem. Zbl 1369.65072
Davis, Timothy A.; Hager, William W.; Hungerford, James T.
2016
A sparse proximal implementation of the LP dual active set algorithm. Zbl 1146.90037
Davis, Timothy A.; Hager, William W.
2008
Algorithm 930, FACTORIZE: an object-oriented linear system solver for MATLAB. Zbl 1295.65048
Davis, Timothy A.
2013
MATLAB Primer. 7th ed. Zbl 1055.93001
Davis, Timothy A.; Sigmon, Kermit
2004
A nondeterministic parallel algorithm for general unsymmetric sparse LU factorization. Zbl 0711.65017
Davis, Timothy A.; Yew, Pen-Chung
1990
Algorithm 933, reliable calculation of numerical rank, null space bases, pseudoinverse solutions, and basic solutions using SuiteSparseQR. Zbl 1295.65049
Foster, Leslie V.; Davis, Timothy A.
2013
Hypergraph-based unsymmetric nested dissection ordering for sparse LU factorization. Zbl 1221.65085
Grigori, Laura; Boman, Erik G.; Donfack, Simplice; Davis, Timothy A.
2010
Dual multilevel optimization. Zbl 1145.90038
Davis, Timothy A.; Hager, William W.
2008
State-defect constraint pairing graph coarsening method for Karush-Kuhn-Tucker matrices arising in orthogonal collocation methods for optimal control. Zbl 1348.49024
Cannataro, Begüm Şenses; Rao, Anil V.; Davis, Timothy A.
2016
Sparse matrix methods for circuit simulation problems. Zbl 1247.65107
Davis, Timothy A.; Natarajan, E. Palamadai
2012
Pairwise reduction for the direct, parallel solution of sparse, unsymmetric sets of linear equations. Zbl 0657.65042
Davis, Timothy A.; Davidson, Edward S.
1988
Algorithm 980: Sparse QR factorization on the GPU. Zbl 06920080
Yeralan, Sencer Nuri; Davis, Timothy A.; Sid-Lakhdar, Wissam M.; Ranka, Sanjay
2017
The use of graph theory in a parallel multifrontal method for sequences of unsymmetric pattern sparse matrices. Zbl 0904.05062
Hadfield, Steven M.; Davis, Timothy A.
1995
Algorithm 980: Sparse QR factorization on the GPU. Zbl 06920080
Yeralan, Sencer Nuri; Davis, Timothy A.; Sid-Lakhdar, Wissam M.; Ranka, Sanjay
2017
A survey of direct methods for sparse linear systems. Zbl 1346.65011
Davis, Timothy A.; Rajamanickam, Sivasankaran; Sid-Lakhdar, Wissam M.
2016
An efficient hybrid algorithm for the separable convex quadratic knapsack problem. Zbl 1369.65072
Davis, Timothy A.; Hager, William W.; Hungerford, James T.
2016
State-defect constraint pairing graph coarsening method for Karush-Kuhn-Tucker matrices arising in orthogonal collocation methods for optimal control. Zbl 1348.49024
Cannataro, Begüm Şenses; Rao, Anil V.; Davis, Timothy A.
2016
Algorithm 930, FACTORIZE: an object-oriented linear system solver for MATLAB. Zbl 1295.65048
Davis, Timothy A.
2013
Algorithm 933, reliable calculation of numerical rank, null space bases, pseudoinverse solutions, and basic solutions using SuiteSparseQR. Zbl 1295.65049
Foster, Leslie V.; Davis, Timothy A.
2013
Sparse matrix methods for circuit simulation problems. Zbl 1247.65107
Davis, Timothy A.; Natarajan, E. Palamadai
2012
The University of Florida sparse matrix collection. Zbl 1365.65123
Davis, Timothy A.; Hu, Yifan
2011
Algorithm 915: SuiteSparseQR: multifrontal multithreaded rank-revealing sparse QR factorization. Zbl 1365.65122
Davis, Timothy A.
2011
Algorithm 907: KLU: a direct sparse solver for circuit simulation problems. Zbl 1364.65066
Davis, Timothy A.; Palamadai Natarajan, Ekanathan
2010
MATLAB primer. 8th ed. Zbl 1200.93001
Davis, Timothy A.
2010
Hypergraph-based unsymmetric nested dissection ordering for sparse LU factorization. Zbl 1221.65085
Grigori, Laura; Boman, Erik G.; Donfack, Simplice; Davis, Timothy A.
2010
A sparse proximal implementation of the LP dual active set algorithm. Zbl 1146.90037
Davis, Timothy A.; Hager, William W.
2008
Dual multilevel optimization. Zbl 1145.90038
Davis, Timothy A.; Hager, William W.
2008
Direct methods for sparse linear systems. Zbl 1119.65021
Davis, Timothy A.
2006
Algorithm 849: A concise sparse Cholesky factorization package. Zbl 1136.65311
Davis, Timothy A.
2005
Row modifications of a sparse Cholesky factorization. Zbl 1077.65026
Davis, Timothy A.; Hager, William W.
2005
Algorithm 832: UMFPACK V4.3 – an unsymmetric-pattern multifrontal method. Zbl 1072.65037
Davis, Timothy A.
2004
A column pre-ordering strategy for the unsymmetric-pattern multifrontal method. Zbl 1072.65036
Davis, Timothy A.
2004
Algorithm 837: AMD, an approximate minimum degree ordering algorithm. Zbl 1070.65534
Amestoy, Patrick R.; Enseeith-Irit; Davis, Timothy A.; Duff, Iain S.
2004
A column approximate minimum degree ordering algorithm. Zbl 1073.65039
Davis, Timothy A.; Gilbert, John R.; Larimore, Stefan I.; Ng, Esmond G.
2004
Algorithm 836: COLAMD, a column approximate minimum degree ordering algorithm. Zbl 1070.65535
Davis, Timothy A.; Gilbert, John R.; Larimore, Stefan I.; Ng, Esmond G.
2004
MATLAB Primer. 7th ed. Zbl 1055.93001
Davis, Timothy A.; Sigmon, Kermit
2004
MATLAB Primer. 6th ed. Zbl 1017.93002
Sigmon, Kermit; Davis, Timothy A.
2002
Multiple-rank modifications of a sparse Cholesky factorization. Zbl 1049.65021
Davis, Timothy A.; Hager, William W.
2001
A combined unifrontal/multifrontal method for unsymmetric sparse matrices. Zbl 0962.65027
Davis, Timothy A.; Duff, Jain S.
1999
Modifying a sparse Cholesky factorization. Zbl 0929.65012
Davis, Timothy A.; Hager, William W.
1999
Finite element analysis of the Landau-de Gennes minimization problem for liquid crystals. Zbl 0908.65120
Davis, Timothy A.; Gartland, Eugene C. jun.
1998
An unsymmetric-pattern multifrontal method for sparse LU factorization. Zbl 0884.65021
Davis, Timothy A.; Duff, Iain S.
1997
An approximate minimum degree ordering algorithm. Zbl 0861.65021
Amestoy, Patrick R.; Davis, Timothy A.; Duff, Iain S.
1996
The use of graph theory in a parallel multifrontal method for sequences of unsymmetric pattern sparse matrices. Zbl 0904.05062
Hadfield, Steven M.; Davis, Timothy A.
1995
A nondeterministic parallel algorithm for general unsymmetric sparse LU factorization. Zbl 0711.65017
Davis, Timothy A.; Yew, Pen-Chung
1990
Pairwise reduction for the direct, parallel solution of sparse, unsymmetric sets of linear equations. Zbl 0657.65042
Davis, Timothy A.; Davidson, Edward S.
1988
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Cited by 2,045 Authors

 17 Huang, Ting-Zhu 16 Saad, Yousef 15 Oyarzúa, Ricardo 15 Scott, Jennifer A. 13 Benzi, Michele 13 John, Volker 12 Gatica, Gabriel N. 11 Wick, Thomas 10 Carpentieri, Bruno 10 Duff, Iain S. 10 Pasiliao, Eduardo L. jun. 10 Xi, Yuanzhe 9 Garcke, Harald 9 Jing, Yanfei 9 Nürnberg, Robert 9 Rheinbach, Oliver 9 Sameh, Ahmed H. 9 Tůma, Miroslav 9 Veremyev, Alexander 8 Gu, Xian-Ming 8 Hogg, Jonathan D. 8 Klawonn, Axel 8 Manguoglu, Murat 8 Sváček, Petr 7 Adler, James H. 7 Darve, Eric 7 Feistauer, Miloslav 7 Higham, Nicholas J. 7 MacLachlan, Scott P. 7 Orban, Dominique 6 Boyd, Stephen Poythress 6 Chomaz, Jean-Marc 6 Cordeiro, Gauss Moutinho 6 Davis, Timothy Alden 6 Ferronato, Massimiliano 6 Grigori, Laura 6 Gu, Ming 6 Hager, William W. 6 Hayami, Ken 6 Heltai, Luca 6 Janna, Carlo 6 Kalantzis, Vassilis 6 Kressner, Daniel 6 Lemonte, Artur José 6 Li, Ruipeng 6 Maier, Matthias Sebastian 6 Meliga, Philippe 6 Prokopyev, Oleg Alexan 6 Shadid, John N. 5 Aykanat, Cevdet 5 Bai, Zhongzhi 5 Bangerth, Wolfgang 5 Boginski, Vladimir L. 5 Bollhöfer, Matthias 5 Carson, Erin Claire 5 Caucao, Sergio 5 Gondzio, Jacek 5 Heister, Timo 5 Horáček, Jaromir 5 Kronbichler, Martin 5 Kučera, Václav 5 Li, Liang 5 Li, Rencang 5 Pelteret, Jean-Paul 5 Scheichl, Robert 5 Sipp, Denis 5 Toutounian, Faezeh 5 Turcksin, Bruno 5 Wu, Wenting 5 Yin, Junfeng 5 Zhang, Jianhua 4 Agullo, Emmanuel 4 Arndt, Daniel 4 Barrett, John W. 4 Bellavia, Stefania 4 Benner, Peter 4 Bujanović, Zvonimir 4 Buttari, Alfredo 4 Calo, Victor Manuel 4 Colmenares, Eligio 4 Dai, Hua 4 Davydov, Denis 4 Demmel, James Weldon 4 di Serafino, Daniela 4 Du, Lei 4 Emerson, D. B. 4 Filelis-Papadopoulos, Christos K. 4 Filippone, Salvatore 4 Gaitonde, Ann L. 4 Gravvanis, George A. 4 Hook, James G. 4 Hu, Xiaozhe 4 Imakura, Akira 4 Jia, Jiteng 4 Kürschner, Patrick 4 Lin, Paul T. 4 Majumdar, Apala 4 Niu, Qiang 4 Pothen, Alex 4 Rajamanickam, Sivasankaran ...and 1,945 more Authors
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Cited in 200 Serials

 109 SIAM Journal on Scientific Computing 68 Journal of Computational and Applied Mathematics 67 Journal of Computational Physics 51 Computer Methods in Applied Mechanics and Engineering 44 Computers & Mathematics with Applications 42 SIAM Journal on Matrix Analysis and Applications 29 Numerical Algorithms 22 Numerical Linear Algebra with Applications 21 Applied Mathematics and Computation 21 Applied Numerical Mathematics 21 Linear Algebra and its Applications 19 Journal of Scientific Computing 18 Journal of Fluid Mechanics 18 International Journal for Numerical Methods in Engineering 18 Computational Optimization and Applications 13 Computational Geosciences 11 BIT 10 Computational Mechanics 10 European Journal of Operational Research 9 ACM Transactions on Mathematical Software 9 Numerische Mathematik 9 ETNA. Electronic Transactions on Numerical Analysis 9 Journal of Numerical Mathematics 8 Computers and Fluids 7 Mathematics and Computers in Simulation 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Optimization Methods & Software 7 Mathematical Programming Computation 6 Calcolo 6 Mathematical Programming. Series A. Series B 5 Computer Physics Communications 5 Mathematics of Computation 5 Computers & Operations Research 5 Applied Mathematics Letters 5 SIAM Journal on Optimization 5 Computational and Applied Mathematics 5 Mathematical Problems in Engineering 5 Multibody System Dynamics 4 International Journal for Numerical Methods in Fluids 4 Computing 4 SIAM Journal on Numerical Analysis 4 European Journal of Applied Mathematics 4 Japan Journal of Industrial and Applied Mathematics 4 Applied Mathematical Modelling 4 International Journal of Computer Mathematics 4 SIAM Review 4 Computational Statistics and Data Analysis 4 Journal of Nonlinear Science 4 Advances in Computational Mathematics 4 Computing and Visualization in Science 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Mathematical and Computer Modelling of Dynamical Systems 4 Journal of Applied Mathematics 4 Acta Numerica 4 Optimization Letters 3 Archive for Rational Mechanics and Analysis 3 International Journal of Control 3 International Journal of Heat and Mass Transfer 3 Journal of Mathematical Biology 3 Journal of Optimization Theory and Applications 3 Mathematical and Computer Modelling 3 Applicable Algebra in Engineering, Communication and Computing 3 INFORMS Journal on Computing 3 Journal of Mathematical Chemistry 3 Mathematical Methods of Operations Research 3 Brazilian Journal of Probability and Statistics 3 Multiscale Modeling & Simulation 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Statistics and Computing 3 Numerical Algebra, Control and Optimization 2 Discrete Applied Mathematics 2 Journal of Engineering Mathematics 2 Scandinavian Journal of Statistics 2 Information Sciences 2 Journal of Computer and System Sciences 2 SIAM Journal on Control and Optimization 2 Theoretical Computer Science 2 Theoretical Population Biology 2 Statistics & Probability Letters 2 Parallel Computing 2 ACM Transactions on Graphics 2 International Journal of Approximate Reasoning 2 Numerical Methods for Partial Differential Equations 2 Neural Computation 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Physics of Fluids 2 Applied and Computational Harmonic Analysis 2 European Journal of Control 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 European Journal of Mechanics. A. Solids 2 Living Reviews in Relativity 2 Archives of Computational Methods in Engineering 2 Internet Mathematics 2 GAMM-Mitteilungen 2 Advances in Data Analysis and Classification. ADAC 2 Inverse Problems and Imaging 2 Electronic Journal of Statistics 2 The Annals of Applied Statistics 2 SIAM Journal on Imaging Sciences 2 Advances in Numerical Analysis ...and 100 more Serials
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Cited in 43 Fields

 732 Numerical analysis (65-XX) 218 Fluid mechanics (76-XX) 130 Partial differential equations (35-XX) 123 Operations research, mathematical programming (90-XX) 117 Linear and multilinear algebra; matrix theory (15-XX) 108 Mechanics of deformable solids (74-XX) 80 Computer science (68-XX) 63 Combinatorics (05-XX) 47 Calculus of variations and optimal control; optimization (49-XX) 41 Statistics (62-XX) 35 Biology and other natural sciences (92-XX) 32 Statistical mechanics, structure of matter (82-XX) 24 Optics, electromagnetic theory (78-XX) 24 Systems theory; control (93-XX) 21 Probability theory and stochastic processes (60-XX) 21 Classical thermodynamics, heat transfer (80-XX) 14 Geophysics (86-XX) 12 Ordinary differential equations (34-XX) 12 Mechanics of particles and systems (70-XX) 11 Information and communication theory, circuits (94-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Quantum theory (81-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Operator theory (47-XX) 3 Astronomy and astrophysics (85-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 General topology (54-XX)