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Author ID: walker.homer-f Recent zbMATH articles by "Walker, Homer F."
Published as: Walker, Homer F.; Walker, H. F.; Walker, Homer

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 1,647 times in 1,341 Documents Cited by Year
Mixture densities, maximum likelihood and the EM algorithm. Zbl 0536.62021
Redner, Richard A.; Walker, Homer F.
310
1984
Choosing the forcing terms in an inexact Newton method. Zbl 0845.65021
Eisenstat, Stanley C.; Walker, Homer F.
237
1996
Globally convergent inexact Newton methods. Zbl 0814.65049
Eisenstat, Stanley C.; Walker, Homer F.
188
1994
Anderson acceleration for fixed-point iterations. Zbl 1254.65067
Walker, Homer F.; Ni, Peng
154
2011
The null spaces of elliptic partial differential operators in R\(^n\). Zbl 0272.35029
Nirenberg, Louis; Walker, Homer F.
90
1973
NITSOL: A Newton iterative solver for nonlinear systems. Zbl 0916.65049
Pernice, Michael; Walker, Homer F.
76
1998
GMRES on (nearly) singular systems. Zbl 0876.65019
Brown, Peter N.; Walker, Homer F.
76
1997
Implementation of the GMRES method using Householder transformations. Zbl 0698.65021
Walker, Homer F.
65
1988
Convergence theorems for least-change secant update methods. Zbl 0527.65032
Dennis, J. E. jun.; Walker, Homer F.
49
1981
Residual smoothing techniques for iterative methods. Zbl 0802.65041
Zhou, Lu; Walker, Homer F.
40
1994
Algorithm 777: HOMPACK90: A suite of Fortran 90 codes for globally convergent homotopy algorithms. Zbl 0913.65042
Watson, Layne T.; Sosonkina, Maria; Melville, Robert C.; Morgan, Alexander P.; Walker, Homer F.
38
1997
A simpler GMRES. Zbl 0838.65030
Walker, Homer F.; Zhou, Lu
34
1994
An inexact Newton method for fully coupled solution of the Navier-Stokes equations with heat and mass transport. Zbl 0898.76066
Shadid, John N.; Tuminaro, Ray S.; Walker, Homer F.
27
1997
Least-change secant update methods for underdetermined systems. Zbl 0733.65032
Walker, Homer F.; Watson, Layne T.
27
1990
Anderson acceleration and application to the three-temperature energy equations. Zbl 1380.65092
An, Hengbin; Jia, Xiaowei; Walker, Homer F.
25
2017
On backtracking failure in Newton-GMRES methods with a demonstration for the Navier-Stokes equations. Zbl 1143.76489
Tuminaro, Raymond S.; Walker, Homer F.; Shadid, John N.
20
2002
An iterative procedure for obtaining maximum-likelihood estimates of the parameters for a mixture of normal distributions. Zbl 0443.65112
Peters, B. Charles jun.; Walker, Homer F.
19
1978
Globalization tecniques for Newton-Krylov methods and applications to the fully coupled solution of the Navier-Stokes equations. Zbl 1110.65039
Pawlowski, Roger P; Shadid, John N.; Simonis, Joseph P.; Walker, Homer F.
19
2006
Asymptotics of solute dispersion in periodic porous media. Zbl 0664.60079
Bhattacharya, R. N.; Gupta, V. K.; Walker, H. F.
12
1989
Residual smoothing and peak/plateau behavior in Krylov subspace methods. Zbl 0855.65023
Walker, Homer F.
12
1995
A new adaptive GMRES algorithm for achieving high accuracy. Zbl 0937.65037
Sosonkina, Maria; Watson, Layne T.; Kapania, Rakesh K.; Walker, Homer F.
10
1998
Inexact Newton dogleg methods. Zbl 1183.65055
Pawlowski, Roger P.; Simonis, Joseph P.; Walker, Homer F.; Shadid, John N.
10
2008
Efficient high accuracy solutions with GMRES\((m)\). Zbl 0758.65029
Turner, Kathryn; Walker, Homer F.
10
1992
Implementations of the GMRES method. Zbl 0798.65041
Walker, Homer F.
9
1989
Inaccuracy in quasi-Newton methods: Local improvement theorems. Zbl 0566.65038
Dennis, J. E. jun.; Walker, Homer F.
9
1984
On minimizing the probability of misclassification for linear feature selection. Zbl 0303.62048
Guseman, L. F. jun.; Peters, B. Charles jun.; Walker, Homer F.
8
1975
Preconditioned iterative methods for homotopy curve tracking. Zbl 0747.65035
Desa, Colin; Irani, Kashmira M.; Ribbens, Calvin J.; Watson, Layne T.; Walker, Homer F.
8
1992
On using approximate finite differences in matrix-free Newton-Krylov methods. Zbl 1183.65052
Brown, Peter N.; Walker, Homer F.; Wasyk, Rebecca; Woodward, Carol S.
7
2008
Accelerating the Uzawa algorithm. Zbl 1392.65056
Ho, Nguyenho; Olson, Sarah D.; Walker, Homer F.
7
2017
Some remarks on the local energy decay of solutions of the initial- boundary value problem for the wave equation in unbounded domains. Zbl 0337.35046
Walker, Homer F.
6
1977
On the null-spaces of first-order elliptic partial differential operators in \(R^ n\). Zbl 0202.37902
Walker, H. F.
5
1971
An adaptation of Krylov subspace methods to path following problems. Zbl 0948.65056
Walker, Homer F.
5
1999
Experiments with conjugate gradient algorithms for homotopy curve tracking. Zbl 0757.65057
Irani, Kashmira M.; Kamat, Manohar P.; Ribbens, Calvin J.; Walker, Homer F.; Watson, Layne T.
5
1991
An approach to continuation using Krylov subspace methods. Zbl 0911.65043
Walker, Homer F.
4
1997
Least-change sparse secant update methods with inaccurate secant conditions. Zbl 0597.65049
Dennis, J. E. jun.; Walker, Homer F.
4
1985
Newton-like methods for underdetermined systems. Zbl 0696.65047
Walker, Homer F.
4
1990
The numerical evaluation of the maximum-likelihood estimate of a subset of mixture proportions. Zbl 0405.62024
Peters, B. Charles jun.; Walker, Homer F.
3
1978
On the null-spaces of elliptic partial differential operators in R\(^n\). Zbl 0265.35037
Walker, Homer F.
3
1972
Experiments with quasi-Newton methods in solving stiff ODE systems. Zbl 0578.65072
Brown, Peter N.; Hindmarsh, Alan C.; Walker, Homer F.
3
1985
Estimating the proportions of two populations in a mixture using linear maps. Zbl 0437.62019
Walker, Homer F.
2
1980
Least-change secant updates of nonsquare matrices. Zbl 0719.65043
Bourji, Samih K.; Walker, Homer F.
2
1990
Nonlinear diffusion. Zbl 0351.00011
1
1977
Strong ellipticity and Van Hove’s lemma in inhomogeneous media. Zbl 0365.73005
Walker, Homer F.
1
1977
Well-posedness of certain elliptic problems in unbounded domains. Zbl 0322.35032
Walker, H. F.
1
1975
On the null-spaces of partially elliptic operators of a certain type. Zbl 0336.47029
LaVita, James A.; Walker, Homer F.
1
1976
A Fredholm theory for a class of first-order elliptic partial differential operators in \(R^ n\). Zbl 0229.35042
Walker, Homer F.
1
1972
Anderson acceleration and application to the three-temperature energy equations. Zbl 1380.65092
An, Hengbin; Jia, Xiaowei; Walker, Homer F.
25
2017
Accelerating the Uzawa algorithm. Zbl 1392.65056
Ho, Nguyenho; Olson, Sarah D.; Walker, Homer F.
7
2017
Anderson acceleration for fixed-point iterations. Zbl 1254.65067
Walker, Homer F.; Ni, Peng
154
2011
Inexact Newton dogleg methods. Zbl 1183.65055
Pawlowski, Roger P.; Simonis, Joseph P.; Walker, Homer F.; Shadid, John N.
10
2008
On using approximate finite differences in matrix-free Newton-Krylov methods. Zbl 1183.65052
Brown, Peter N.; Walker, Homer F.; Wasyk, Rebecca; Woodward, Carol S.
7
2008
Globalization tecniques for Newton-Krylov methods and applications to the fully coupled solution of the Navier-Stokes equations. Zbl 1110.65039
Pawlowski, Roger P; Shadid, John N.; Simonis, Joseph P.; Walker, Homer F.
19
2006
On backtracking failure in Newton-GMRES methods with a demonstration for the Navier-Stokes equations. Zbl 1143.76489
Tuminaro, Raymond S.; Walker, Homer F.; Shadid, John N.
20
2002
An adaptation of Krylov subspace methods to path following problems. Zbl 0948.65056
Walker, Homer F.
5
1999
NITSOL: A Newton iterative solver for nonlinear systems. Zbl 0916.65049
Pernice, Michael; Walker, Homer F.
76
1998
A new adaptive GMRES algorithm for achieving high accuracy. Zbl 0937.65037
Sosonkina, Maria; Watson, Layne T.; Kapania, Rakesh K.; Walker, Homer F.
10
1998
GMRES on (nearly) singular systems. Zbl 0876.65019
Brown, Peter N.; Walker, Homer F.
76
1997
Algorithm 777: HOMPACK90: A suite of Fortran 90 codes for globally convergent homotopy algorithms. Zbl 0913.65042
Watson, Layne T.; Sosonkina, Maria; Melville, Robert C.; Morgan, Alexander P.; Walker, Homer F.
38
1997
An inexact Newton method for fully coupled solution of the Navier-Stokes equations with heat and mass transport. Zbl 0898.76066
Shadid, John N.; Tuminaro, Ray S.; Walker, Homer F.
27
1997
An approach to continuation using Krylov subspace methods. Zbl 0911.65043
Walker, Homer F.
4
1997
Choosing the forcing terms in an inexact Newton method. Zbl 0845.65021
Eisenstat, Stanley C.; Walker, Homer F.
237
1996
Residual smoothing and peak/plateau behavior in Krylov subspace methods. Zbl 0855.65023
Walker, Homer F.
12
1995
Globally convergent inexact Newton methods. Zbl 0814.65049
Eisenstat, Stanley C.; Walker, Homer F.
188
1994
Residual smoothing techniques for iterative methods. Zbl 0802.65041
Zhou, Lu; Walker, Homer F.
40
1994
A simpler GMRES. Zbl 0838.65030
Walker, Homer F.; Zhou, Lu
34
1994
Efficient high accuracy solutions with GMRES\((m)\). Zbl 0758.65029
Turner, Kathryn; Walker, Homer F.
10
1992
Preconditioned iterative methods for homotopy curve tracking. Zbl 0747.65035
Desa, Colin; Irani, Kashmira M.; Ribbens, Calvin J.; Watson, Layne T.; Walker, Homer F.
8
1992
Experiments with conjugate gradient algorithms for homotopy curve tracking. Zbl 0757.65057
Irani, Kashmira M.; Kamat, Manohar P.; Ribbens, Calvin J.; Walker, Homer F.; Watson, Layne T.
5
1991
Least-change secant update methods for underdetermined systems. Zbl 0733.65032
Walker, Homer F.; Watson, Layne T.
27
1990
Newton-like methods for underdetermined systems. Zbl 0696.65047
Walker, Homer F.
4
1990
Least-change secant updates of nonsquare matrices. Zbl 0719.65043
Bourji, Samih K.; Walker, Homer F.
2
1990
Asymptotics of solute dispersion in periodic porous media. Zbl 0664.60079
Bhattacharya, R. N.; Gupta, V. K.; Walker, H. F.
12
1989
Implementations of the GMRES method. Zbl 0798.65041
Walker, Homer F.
9
1989
Implementation of the GMRES method using Householder transformations. Zbl 0698.65021
Walker, Homer F.
65
1988
Least-change sparse secant update methods with inaccurate secant conditions. Zbl 0597.65049
Dennis, J. E. jun.; Walker, Homer F.
4
1985
Experiments with quasi-Newton methods in solving stiff ODE systems. Zbl 0578.65072
Brown, Peter N.; Hindmarsh, Alan C.; Walker, Homer F.
3
1985
Mixture densities, maximum likelihood and the EM algorithm. Zbl 0536.62021
Redner, Richard A.; Walker, Homer F.
310
1984
Inaccuracy in quasi-Newton methods: Local improvement theorems. Zbl 0566.65038
Dennis, J. E. jun.; Walker, Homer F.
9
1984
Convergence theorems for least-change secant update methods. Zbl 0527.65032
Dennis, J. E. jun.; Walker, Homer F.
49
1981
Estimating the proportions of two populations in a mixture using linear maps. Zbl 0437.62019
Walker, Homer F.
2
1980
An iterative procedure for obtaining maximum-likelihood estimates of the parameters for a mixture of normal distributions. Zbl 0443.65112
Peters, B. Charles jun.; Walker, Homer F.
19
1978
The numerical evaluation of the maximum-likelihood estimate of a subset of mixture proportions. Zbl 0405.62024
Peters, B. Charles jun.; Walker, Homer F.
3
1978
Some remarks on the local energy decay of solutions of the initial- boundary value problem for the wave equation in unbounded domains. Zbl 0337.35046
Walker, Homer F.
6
1977
Nonlinear diffusion. Zbl 0351.00011
1
1977
Strong ellipticity and Van Hove’s lemma in inhomogeneous media. Zbl 0365.73005
Walker, Homer F.
1
1977
On the null-spaces of partially elliptic operators of a certain type. Zbl 0336.47029
LaVita, James A.; Walker, Homer F.
1
1976
On minimizing the probability of misclassification for linear feature selection. Zbl 0303.62048
Guseman, L. F. jun.; Peters, B. Charles jun.; Walker, Homer F.
8
1975
Well-posedness of certain elliptic problems in unbounded domains. Zbl 0322.35032
Walker, H. F.
1
1975
The null spaces of elliptic partial differential operators in R\(^n\). Zbl 0272.35029
Nirenberg, Louis; Walker, Homer F.
90
1973
On the null-spaces of elliptic partial differential operators in R\(^n\). Zbl 0265.35037
Walker, Homer F.
3
1972
A Fredholm theory for a class of first-order elliptic partial differential operators in \(R^ n\). Zbl 0229.35042
Walker, Homer F.
1
1972
On the null-spaces of first-order elliptic partial differential operators in \(R^ n\). Zbl 0202.37902
Walker, H. F.
5
1971
all top 5

Cited by 2,250 Authors

23 Cai, Xiao-Chuan
20 Martínez, José Mario
18 Shadid, John N.
16 Keyes, David Elliot
14 Yang, Haijian
13 Kelley, Carl T.
11 Chacón, Luis
11 Rebholz, Leo G.
11 Yang, Chao
10 An, Hengbin
10 Bellavia, Stefania
9 Knoll, Dana A.
9 Pawlowski, Roger P.
9 Walker, Homer F.
8 Chen, Rongliang
8 Chien, Cheng-Sheng
8 Hayami, Ken
8 Karp, Lavi
8 Lin, Tsung I.
8 Pollock, Sara
8 Watson, Layne Terry
7 Argyros, Ioannis Konstantinos
7 Cyr, Eric C.
7 De Sterck, Hans
7 Galligani, Emanuele
7 Liu, Lulu
7 Mang, Andreas
7 Reichel, Lothar
7 Rozložník, Miroslav
7 Vuik, Cornelis
7 Zhang, Jun
7 Zhu, Detong
6 Biros, George
6 Brauer, Uwe
6 Cătinaş, Emil
6 Demidenko, Gennadiĭ Vladimirovich
6 Huang, Ting-Zhu
6 Hwang, Fengnan
6 Krejić, Nataša
6 Lee, Sangyeol
6 Lee, Taewook
6 Lindsay, Bruce G.
6 Luo, Li
6 Morini, Benedetta
6 Porcelli, Margherita
6 Tchelepi, Hamdi A.
6 Xiao, Mengying
6 Yan, Zhengzheng
5 Bai, Zhengjian
5 Bonettini, Silvia
5 Brezinski, Claude
5 Cao, Zhihao
5 Celeux, Gilles
5 Chen, Xiaojun
5 Ghattas, Omar N.
5 Guo, Xueping
5 He, Yunhui
5 Hennig, Christian
5 Jin, Xiaoqing
5 Kuzmin, Dmitri
5 Lemieux, Jean-François
5 Lin, Paul T.
5 MacLachlan, Scott P.
5 Morikuni, Keiichi
5 Niu, Qiang
5 Raydan, Marcos
5 Redivo-Zaglia, Michela
5 Sadok, Hassane
5 Sun, Shuyu
5 Tuminaro, Ray S.
5 Vohralík, Martin
5 Wei, Yimin
5 Wu, Yujiang
5 Yang, Aili
4 Biernacki, Christophe
4 Birken, Philipp
4 Carson, Erin Claire
4 Coretto, Pietro
4 Crivellini, Andrea
4 Dabaghi, Jad
4 Gomes-Ruggiero, Márcia Ap.
4 Guan, Zhong
4 Hilout, Saïd
4 Jing, Yanfei
4 John, Volker
4 Klawonn, Axel
4 Lanser, Martin
4 Liang, Zhaozheng
4 Mahdavi-Amiri, Nezam
4 Marsden, Jerrold Eldon
4 McOwen, Robert C.
4 Mo, Zeyao
4 Philip, Bobby
4 Quarteroni, Alfio M.
4 Radu, Florin Adrian
4 Ruggiero, Valeria
4 Ruiz-Baier, Ricardo
4 Scheufele, Klaudius
4 Schulte, Miriam
4 Sommese, Andrew John
...and 2,150 more Authors
all top 5

Cited in 269 Serials

110 Journal of Computational Physics
75 Journal of Computational and Applied Mathematics
46 SIAM Journal on Scientific Computing
40 Computer Methods in Applied Mechanics and Engineering
39 Computers & Mathematics with Applications
38 Applied Mathematics and Computation
33 Computational Statistics and Data Analysis
31 Numerical Algorithms
27 Applied Numerical Mathematics
24 Journal of Optimization Theory and Applications
20 Computers and Fluids
20 Journal of Scientific Computing
20 Optimization Methods & Software
19 BIT
19 Communications in Statistics. Theory and Methods
18 SIAM Journal on Matrix Analysis and Applications
15 Computer Physics Communications
15 Linear Algebra and its Applications
15 Pattern Recognition
14 International Journal for Numerical Methods in Engineering
14 Journal of Statistical Planning and Inference
13 Computational Optimization and Applications
13 Numerical Linear Algebra with Applications
12 Mathematics of Computation
12 Journal of Multivariate Analysis
12 International Journal of Computer Mathematics
10 SIAM Journal on Numerical Analysis
10 Computational Statistics
10 Advances in Computational Mathematics
10 Computational Geosciences
10 Advances in Data Analysis and Classification. ADAC
9 Journal of Statistical Computation and Simulation
9 Computational and Applied Mathematics
8 Communications in Mathematical Physics
8 Mathematical Methods in the Applied Sciences
8 Mathematical Programming. Series A. Series B
8 Journal of Applied Statistics
7 Inverse Problems
7 The Annals of Statistics
7 Journal of Differential Equations
7 Numerische Mathematik
7 Statistics & Probability Letters
7 Journal of Classification
7 Neural Computation
7 Communications in Partial Differential Equations
7 SIAM Review
7 Acta Numerica
7 Communications in Computational Physics
7 The Annals of Applied Statistics
6 International Journal for Numerical Methods in Fluids
6 Psychometrika
6 Biometrics
6 Statistics
6 Communications in Statistics. Simulation and Computation
6 SIAM Journal on Optimization
6 Statistics and Computing
5 The Canadian Journal of Statistics
5 Journal of Mathematical Physics
5 Numerical Functional Analysis and Optimization
5 Japan Journal of Industrial and Applied Mathematics
5 Applied Mathematical Modelling
5 ETNA. Electronic Transactions on Numerical Analysis
4 Metrika
4 Scandinavian Journal of Statistics
4 Calcolo
4 Computing
4 Journal of Econometrics
4 Mathematics and Computers in Simulation
4 Siberian Mathematical Journal
4 Transactions of the American Mathematical Society
4 International Journal of Approximate Reasoning
4 Mathematical and Computer Modelling
4 Journal of Global Optimization
4 Stochastic Processes and their Applications
4 Physics of Fluids
4 Optimization and Engineering
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Nonlinear Analysis. Theory, Methods & Applications
3 Archive for Rational Mechanics and Analysis
3 General Relativity and Gravitation
3 Acta Mathematica
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Information Sciences
3 Journal of the American Statistical Association
3 Optimization
3 Computational Mechanics
3 Signal Processing
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Bulletin of the American Mathematical Society. New Series
3 Test
3 Communications in Numerical Methods in Engineering
3 Statistical Papers
3 Computational Methods in Applied Mathematics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Statistical Methods and Applications
3 Boundary Value Problems
3 Electronic Journal of Statistics
3 SIAM Journal on Imaging Sciences
3 Advances in Applied Mathematics and Mechanics
3 Journal of Computational and Graphical Statistics
...and 169 more Serials
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Cited in 46 Fields

800 Numerical analysis (65-XX)
292 Statistics (62-XX)
232 Fluid mechanics (76-XX)
202 Partial differential equations (35-XX)
148 Operations research, mathematical programming (90-XX)
76 Computer science (68-XX)
74 Calculus of variations and optimal control; optimization (49-XX)
67 Mechanics of deformable solids (74-XX)
43 Linear and multilinear algebra; matrix theory (15-XX)
37 Probability theory and stochastic processes (60-XX)
33 Operator theory (47-XX)
30 Statistical mechanics, structure of matter (82-XX)
27 Geophysics (86-XX)
25 Global analysis, analysis on manifolds (58-XX)
25 Biology and other natural sciences (92-XX)
23 Functional analysis (46-XX)
20 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
19 Information and communication theory, circuits (94-XX)
18 Differential geometry (53-XX)
16 Ordinary differential equations (34-XX)
16 Optics, electromagnetic theory (78-XX)
16 Classical thermodynamics, heat transfer (80-XX)
13 Relativity and gravitational theory (83-XX)
12 Quantum theory (81-XX)
11 Integral equations (45-XX)
11 Mechanics of particles and systems (70-XX)
11 Systems theory; control (93-XX)
7 Algebraic geometry (14-XX)
6 Dynamical systems and ergodic theory (37-XX)
5 Commutative algebra (13-XX)
5 Approximations and expansions (41-XX)
4 Real functions (26-XX)
4 Astronomy and astrophysics (85-XX)
3 Functions of a complex variable (30-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
2 Combinatorics (05-XX)
2 Field theory and polynomials (12-XX)
2 Potential theory (31-XX)
2 Special functions (33-XX)
2 Difference and functional equations (39-XX)
2 Manifolds and cell complexes (57-XX)
2 Mathematics education (97-XX)
1 History and biography (01-XX)
1 Sequences, series, summability (40-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)

Citations by Year