×

zbMATH — the first resource for mathematics

Davis, Timothy Alden

Compute Distance To:
Author ID: davis.timothy-a Recent zbMATH articles by "Davis, Timothy Alden"
Published as: Davis, Timothy A.
External Links: MGP
Documents Indexed: 42 Publications since 1988, including 4 Books

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 1,348 times in 1,070 Documents Cited by Year
The University of Florida sparse matrix collection. Zbl 1365.65123
Davis, Timothy A.; Hu, Yifan
376
2011
Algorithm 832: UMFPACK V4.3 – an unsymmetric-pattern multifrontal method. Zbl 1072.65037
Davis, Timothy A.
261
2004
Direct methods for sparse linear systems. Zbl 1119.65021
Davis, Timothy A.
163
2006
An approximate minimum degree ordering algorithm. Zbl 0861.65021
Amestoy, Patrick R.; Davis, Timothy A.; Duff, Iain S.
86
1996
An unsymmetric-pattern multifrontal method for sparse LU factorization. Zbl 0884.65021
Davis, Timothy A.; Duff, Iain S.
86
1997
A combined unifrontal/multifrontal method for unsymmetric sparse matrices. Zbl 0962.65027
Davis, Timothy A.; Duff, Jain S.
64
1999
A column pre-ordering strategy for the unsymmetric-pattern multifrontal method. Zbl 1072.65036
Davis, Timothy A.
63
2004
Algorithm 837: AMD, an approximate minimum degree ordering algorithm. Zbl 1070.65534
Amestoy, Patrick R.; Enseeith-Irit; Davis, Timothy A.; Duff, Iain S.
37
2004
Finite element analysis of the Landau-de Gennes minimization problem for liquid crystals. Zbl 0908.65120
Davis, Timothy A.; Gartland, Eugene C. jun.
32
1998
Algorithm 915: SuiteSparseQR: multifrontal multithreaded rank-revealing sparse QR factorization. Zbl 1365.65122
Davis, Timothy A.
25
2011
A column approximate minimum degree ordering algorithm. Zbl 1073.65039
Davis, Timothy A.; Gilbert, John R.; Larimore, Stefan I.; Ng, Esmond G.
18
2004
Modifying a sparse Cholesky factorization. Zbl 0929.65012
Davis, Timothy A.; Hager, William W.
15
1999
Algorithm 849: A concise sparse Cholesky factorization package. Zbl 1136.65311
Davis, Timothy A.
14
2005
Multiple-rank modifications of a sparse Cholesky factorization. Zbl 1049.65021
Davis, Timothy A.; Hager, William W.
12
2001
A survey of direct methods for sparse linear systems. Zbl 1346.65011
Davis, Timothy A.; Rajamanickam, Sivasankaran; Sid-Lakhdar, Wissam M.
12
2016
Row modifications of a sparse Cholesky factorization. Zbl 1077.65026
Davis, Timothy A.; Hager, William W.
11
2005
MATLAB Primer. 6th ed. Zbl 1017.93002
Sigmon, Kermit; Davis, Timothy A.
10
2002
Algorithm 907: KLU: a direct sparse solver for circuit simulation problems. Zbl 1364.65066
Davis, Timothy A.; Palamadai Natarajan, Ekanathan
9
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.
8
2004
MATLAB primer. 8th ed. Zbl 1200.93001
Davis, Timothy A.
8
2010
A sparse proximal implementation of the LP dual active set algorithm. Zbl 1146.90037
Davis, Timothy A.; Hager, William W.
5
2008
An efficient hybrid algorithm for the separable convex quadratic knapsack problem. Zbl 1369.65072
Davis, Timothy A.; Hager, William W.; Hungerford, James T.
5
2016
Algorithm 930, FACTORIZE: an object-oriented linear system solver for MATLAB. Zbl 1295.65048
Davis, Timothy A.
4
2013
A nondeterministic parallel algorithm for general unsymmetric sparse LU factorization. Zbl 0711.65017
Davis, Timothy A.; Yew, Pen-Chung
4
1990
Hypergraph-based unsymmetric nested dissection ordering for sparse LU factorization. Zbl 1221.65085
Grigori, Laura; Boman, Erik G.; Donfack, Simplice; Davis, Timothy A.
3
2010
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.
3
2013
MATLAB Primer. 7th ed. Zbl 1055.93001
Davis, Timothy A.; Sigmon, Kermit
3
2004
Dual multilevel optimization. Zbl 1145.90038
Davis, Timothy A.; Hager, William W.
3
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.
2
2016
Pairwise reduction for the direct, parallel solution of sparse, unsymmetric sets of linear equations. Zbl 0657.65042
Davis, Timothy A.; Davidson, Edward S.
2
1988
Sparse matrix methods for circuit simulation problems. Zbl 1247.65107
Davis, Timothy A.; Natarajan, E. Palamadai
2
2012
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.
1
1995
Algorithm 980: Sparse QR factorization on the GPU. Zbl 06920080
Yeralan, Sencer Nuri; Davis, Timothy A.; Sid-Lakhdar, Wissam M.; Ranka, Sanjay
1
2017
Algorithm 980: Sparse QR factorization on the GPU. Zbl 06920080
Yeralan, Sencer Nuri; Davis, Timothy A.; Sid-Lakhdar, Wissam M.; Ranka, Sanjay
1
2017
A survey of direct methods for sparse linear systems. Zbl 1346.65011
Davis, Timothy A.; Rajamanickam, Sivasankaran; Sid-Lakhdar, Wissam M.
12
2016
An efficient hybrid algorithm for the separable convex quadratic knapsack problem. Zbl 1369.65072
Davis, Timothy A.; Hager, William W.; Hungerford, James T.
5
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.
2
2016
Algorithm 930, FACTORIZE: an object-oriented linear system solver for MATLAB. Zbl 1295.65048
Davis, Timothy A.
4
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.
3
2013
Sparse matrix methods for circuit simulation problems. Zbl 1247.65107
Davis, Timothy A.; Natarajan, E. Palamadai
2
2012
The University of Florida sparse matrix collection. Zbl 1365.65123
Davis, Timothy A.; Hu, Yifan
376
2011
Algorithm 915: SuiteSparseQR: multifrontal multithreaded rank-revealing sparse QR factorization. Zbl 1365.65122
Davis, Timothy A.
25
2011
Algorithm 907: KLU: a direct sparse solver for circuit simulation problems. Zbl 1364.65066
Davis, Timothy A.; Palamadai Natarajan, Ekanathan
9
2010
MATLAB primer. 8th ed. Zbl 1200.93001
Davis, Timothy A.
8
2010
Hypergraph-based unsymmetric nested dissection ordering for sparse LU factorization. Zbl 1221.65085
Grigori, Laura; Boman, Erik G.; Donfack, Simplice; Davis, Timothy A.
3
2010
A sparse proximal implementation of the LP dual active set algorithm. Zbl 1146.90037
Davis, Timothy A.; Hager, William W.
5
2008
Dual multilevel optimization. Zbl 1145.90038
Davis, Timothy A.; Hager, William W.
3
2008
Direct methods for sparse linear systems. Zbl 1119.65021
Davis, Timothy A.
163
2006
Algorithm 849: A concise sparse Cholesky factorization package. Zbl 1136.65311
Davis, Timothy A.
14
2005
Row modifications of a sparse Cholesky factorization. Zbl 1077.65026
Davis, Timothy A.; Hager, William W.
11
2005
Algorithm 832: UMFPACK V4.3 – an unsymmetric-pattern multifrontal method. Zbl 1072.65037
Davis, Timothy A.
261
2004
A column pre-ordering strategy for the unsymmetric-pattern multifrontal method. Zbl 1072.65036
Davis, Timothy A.
63
2004
Algorithm 837: AMD, an approximate minimum degree ordering algorithm. Zbl 1070.65534
Amestoy, Patrick R.; Enseeith-Irit; Davis, Timothy A.; Duff, Iain S.
37
2004
A column approximate minimum degree ordering algorithm. Zbl 1073.65039
Davis, Timothy A.; Gilbert, John R.; Larimore, Stefan I.; Ng, Esmond G.
18
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.
8
2004
MATLAB Primer. 7th ed. Zbl 1055.93001
Davis, Timothy A.; Sigmon, Kermit
3
2004
MATLAB Primer. 6th ed. Zbl 1017.93002
Sigmon, Kermit; Davis, Timothy A.
10
2002
Multiple-rank modifications of a sparse Cholesky factorization. Zbl 1049.65021
Davis, Timothy A.; Hager, William W.
12
2001
A combined unifrontal/multifrontal method for unsymmetric sparse matrices. Zbl 0962.65027
Davis, Timothy A.; Duff, Jain S.
64
1999
Modifying a sparse Cholesky factorization. Zbl 0929.65012
Davis, Timothy A.; Hager, William W.
15
1999
Finite element analysis of the Landau-de Gennes minimization problem for liquid crystals. Zbl 0908.65120
Davis, Timothy A.; Gartland, Eugene C. jun.
32
1998
An unsymmetric-pattern multifrontal method for sparse LU factorization. Zbl 0884.65021
Davis, Timothy A.; Duff, Iain S.
86
1997
An approximate minimum degree ordering algorithm. Zbl 0861.65021
Amestoy, Patrick R.; Davis, Timothy A.; Duff, Iain S.
86
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.
1
1995
A nondeterministic parallel algorithm for general unsymmetric sparse LU factorization. Zbl 0711.65017
Davis, Timothy A.; Yew, Pen-Chung
4
1990
Pairwise reduction for the direct, parallel solution of sparse, unsymmetric sets of linear equations. Zbl 0657.65042
Davis, Timothy A.; Davidson, Edward S.
2
1988
all top 5

Cited by 1,998 Authors

16 Huang, Ting-Zhu
16 Saad, Yousef
15 Oyarzúa, Ricardo
15 Scott, Jennifer A.
13 John, Volker
12 Benzi, Michele
12 Gatica, Gabriel N.
11 Wick, Thomas
10 Duff, Iain S.
10 Pasiliao, Eduardo L. jun.
10 Xi, Yuanzhe
9 Carpentieri, Bruno
9 Garcke, Harald
9 Manguoglu, Murat
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 Orban, Dominique
8 Sváček, Petr
7 Adler, James H.
7 Feistauer, Miloslav
7 Hayami, Ken
7 Higham, Nicholas J.
7 Jing, Yanfei
7 Kalantzis, Vassilis
7 MacLachlan, Scott P.
6 Boyd, Stephen Poythress
6 Chomaz, Jean-Marc
6 Cordeiro, Gauss Moutinho
6 Darve, Eric
6 Davis, Timothy Alden
6 Ferronato, Massimiliano
6 Grigori, Laura
6 Hager, William W.
6 Heltai, Luca
6 Janna, Carlo
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.
6 Yin, Junfeng
5 Aykanat, Cevdet
5 Bai, Zhongzhi
5 Bangerth, Wolfgang
5 Boginski, Vladimir L.
5 Bollhöfer, Matthias
5 Buttari, Alfredo
5 Carson, Erin Claire
5 Caucao, Sergio
5 Gondzio, Jacek
5 Heister, Timo
5 Horáček, Jaromir
5 Hu, Xiaozhe
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 Zikatanov, Ludmil T.
4 Agullo, Emmanuel
4 Arndt, Daniel
4 Barrett, John W.
4 Bellavia, Stefania
4 Benner, Peter
4 Bujanović, Zvonimir
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 Gu, Chuanqing
4 Heyouni, Mohammed
4 Hook, James G.
4 Imakura, Akira
4 Jia, Jiteng
4 Kürschner, Patrick
4 Lin, Paul T.
4 Majumdar, Apala
4 Niu, Qiang
4 Pothen, Alex
...and 1,898 more Authors
all top 5

Cited in 202 Serials

118 SIAM Journal on Scientific Computing
66 Journal of Computational and Applied Mathematics
61 Journal of Computational Physics
51 Computer Methods in Applied Mechanics and Engineering
45 Computers & Mathematics with Applications
44 SIAM Journal on Matrix Analysis and Applications
31 Numerical Algorithms
22 Numerical Linear Algebra with Applications
21 Applied Mathematics and Computation
21 Journal of Scientific Computing
20 Applied Numerical Mathematics
20 Linear Algebra and its Applications
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 ETNA. Electronic Transactions on Numerical Analysis
9 ACM Transactions on Mathematical Software
9 Numerische Mathematik
9 European Journal of Operational Research
9 Journal of Numerical Mathematics
8 Computers and Fluids
8 Calcolo
8 Optimization Methods & Software
7 Mathematics and Computers in Simulation
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Mathematical Programming. Series A. Series B
7 Mathematical Programming Computation
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 Computer Physics Communications
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 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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 Statistics and Computing
3 Numerical Algebra, Control and Optimization
3 Journal of Mathematics in Industry
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 Computer Aided Geometric Design
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 Journal of Global Optimization
2 Computational Mathematics and Mathematical Physics
2 SIAM Journal on Mathematical Analysis
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
...and 102 more Serials
all top 5

Cited in 46 Fields

743 Numerical analysis (65-XX)
215 Fluid mechanics (76-XX)
133 Partial differential equations (35-XX)
131 Operations research, mathematical programming (90-XX)
121 Linear and multilinear algebra; matrix theory (15-XX)
106 Mechanics of deformable solids (74-XX)
84 Computer science (68-XX)
63 Combinatorics (05-XX)
48 Calculus of variations and optimal control; optimization (49-XX)
43 Statistics (62-XX)
33 Biology and other natural sciences (92-XX)
32 Statistical mechanics, structure of matter (82-XX)
25 Systems theory; control (93-XX)
24 Optics, electromagnetic theory (78-XX)
23 Probability theory and stochastic processes (60-XX)
21 Classical thermodynamics, heat transfer (80-XX)
15 Geophysics (86-XX)
13 Information and communication theory, circuits (94-XX)
12 Ordinary differential equations (34-XX)
12 Mechanics of particles and systems (70-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Quantum theory (81-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Operator theory (47-XX)
3 Real functions (26-XX)
3 Astronomy and astrophysics (85-XX)
2 History and biography (01-XX)
2 Field theory and polynomials (12-XX)
2 Commutative algebra (13-XX)
2 Algebraic geometry (14-XX)
2 Sequences, series, summability (40-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 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Number theory (11-XX)
1 Associative rings and algebras (16-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 General topology (54-XX)

Citations by Year