-
1
-
-
84945709150
-
Iterative procedures for nonlinear integral equations
-
D. G. ANDERSON, Iterative procedures for nonlinear integral equations, J. Assoc. Comput. Mach., 12(1965), pp. 547-560.
-
(1965)
J. Assoc. Comput. Mach.
, vol.12
, pp. 547-560
-
-
Anderson, D.G.1
-
2
-
-
36749071484
-
SVD based initialization: A head start for nonnegative matrix factorization
-
DOI 10.1016/j.patcog.2007.09.010, PII S0031320307004359
-
C. BOUTSIDIS AND E. GALLOPOULOS, SVD based initialization: A head start for nonnegative matrix factorization, Pattern Recognition, 41(2008), pp. 1350-1362. (Pubitemid 350212975)
-
(2008)
Pattern Recognition
, vol.41
, Issue.4
, pp. 1350-1362
-
-
Boutsidis, C.1
Gallopoulos, E.2
-
3
-
-
0034289685
-
Convergence acceleration during the 20th century
-
DOI 10.1016/S0377-0427(00)00360-5, PII S0377042700003605, Numerical Analysis 2000 Vol II Interpolation and Extrapolation
-
C. BREZINSKI, Convergence acceleration during the 20th century, J. Comput. Appl. Math., 122(2000), pp. 1-21. (Pubitemid 32270243)
-
(2000)
Journal of Computational and Applied Mathematics
, vol.122
, Issue.1-2
, pp. 1-21
-
-
Brezinski, C.1
-
5
-
-
19844366465
-
Computational chemistry from the perspective of numerical analysis
-
DOI 10.1017/S096249290400025X
-
C. LE BRIS, Computational chemistry from the perspective of numerical analysis, Acta Numer., 14(2005), pp. 363-444. (Pubitemid 40763886)
-
(2005)
Acta Numerica
, vol.14
, pp. 363-444
-
-
Le Bris, C.1
-
6
-
-
0002864202
-
A theoretical comparison of the Arnoldi and GMRES algorithms
-
P. N. BROWN, A theoretical comparison of the Arnoldi and GMRES algorithms, SIAM J. Sci. Statist. Comput., 12(1991), pp. 58-78.
-
(1991)
SIAM J. Sci. Statist. Comput.
, vol.12
, pp. 58-78
-
-
Brown, P.N.1
-
7
-
-
84968510937
-
A class of methods for solving nonlinear simultaneous equations
-
C. G. BROYDEN, A class of methods for solving nonlinear simultaneous equations, Math. Comp., 19(1965), pp. 577-593.
-
(1965)
Math. Comp.
, vol.19
, pp. 577-593
-
-
Broyden, C.G.1
-
8
-
-
0037248934
-
Nonlinearly preconditioned inexact Newton algorithms
-
X.-C. CAI AND D. E. KEYES, Nonlinearly preconditioned inexact Newton algorithms, SIAM J. Sci. Comput., 24(2002), pp. 183-200.
-
(2002)
SIAM J. Sci. Comput.
, vol.24
, pp. 183-200
-
-
Cai, X.-C.1
Keyes, D.E.2
-
9
-
-
15944380940
-
A nonlinear additive Schwarz preconditioned inexact Newton method for shocked duct flows
-
N. Débit, M. Garbey, R. Hoppe, J. Périaux, D. Keyes, and Y. Kuznetsov, eds., CIMNE, Barcelona
-
X.-C. CAI, D. E. KEYES, AND D. P. YOUNG, A nonlinear additive Schwarz preconditioned inexact Newton method for shocked duct flows, in Domain Decomposition Methods in Science and Engineering (Lyon, France, 2000), N. Débit, M. Garbey, R. Hoppe, J. Périaux, D. Keyes, and Y. Kuznetsov, eds., CIMNE, Barcelona, 2000, pp. 345-352.
-
(2000)
Domain Decomposition Methods in Science and Engineering (Lyon, France, 2000)
, pp. 345-352
-
-
Cai, X.-C.1
Keyes, D.E.2
Young, D.P.3
-
10
-
-
0033295858
-
A restricted additive Schwarz preconditioner for general sparse linear systems
-
X.-C. CAI AND M. SARKIS, A restricted additive Schwarz preconditioner for general sparse linear systems, SIAM J. Sci. Comput., 21(1999), pp. 792-797.
-
(1999)
SIAM J. Sci. Comput.
, vol.21
, pp. 792-797
-
-
Cai, X.-C.1
Sarkis, M.2
-
11
-
-
11744295460
-
Design and application of a gradient-weighted moving finite element code I: In one dimension
-
PII S106482759426955X
-
N. N. CARLSON AND K. MILLER, Design and application of a gradient-weighted moving finite element code I: In one dimension, SIAM J. Sci. Comput., 19(1998), pp. 728-765. (Pubitemid 128622531)
-
(1998)
SIAM Journal of Scientific Computing
, vol.19
, Issue.3
, pp. 728-765
-
-
Carlson, N.N.1
Miller, K.2
-
12
-
-
0002629270
-
Maximum-likelihood from incomplete data via the EM algorithm
-
A. P. DEMPSTER, N. M. LAIRD, AND D. B. RUBIN, Maximum-likelihood from incomplete data via the EM algorithm, J. Royal Statist. Soc. Ser. B, 39(1977), pp. 1-38.
-
(1977)
J. Royal Statist. Soc. Ser. B
, vol.39
, pp. 1-38
-
-
Dempster, A.P.1
Laird, N.M.2
Rubin, D.B.3
-
13
-
-
0001765433
-
Least change secant updates for quasi-Newton methods
-
J. E. DENNIS, JR., AND R. B. SCHNABEL, Least change secant updates for quasi-Newton methods, SIAM Rev., 21(1979), pp. 443-459.
-
(1979)
SIAM Rev.
, vol.21
, pp. 443-459
-
-
Dennis Jr., J.E.1
Schnabel, R.B.2
-
14
-
-
0003315567
-
Numerical methods for unconstrained optimization and nonlinear equations
-
SIAM, Philadelphia
-
J. E. DENNIS, JR., AND R. B. SCHNABEL, Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Classics Appl. Math. 16, SIAM, Philadelphia, 1996.
-
(1996)
Classics Appl. Math.
, vol.16
-
-
Dennis Jr., J.E.1
Schnabel, R.B.2
-
15
-
-
0000947761
-
Convergence theorems for least-change secant update methods
-
J. E. DENNIS, JR., AND H. F. WALKER, Convergence theorems for least-change secant update methods, SIAM J. Numer. Anal., 18(1981), pp. 949-987.
-
(1981)
SIAM J. Numer. Anal.
, vol.18
, pp. 949-987
-
-
Dennis Jr., J.E.1
Walker, H.F.2
-
16
-
-
38249024207
-
Accelerating with rank-one updates
-
T. EIROLA AND O. NEVANLINNA, Accelerating with rank-one updates, Linear Algebra Appl., 121(1989), pp. 511-520.
-
(1989)
Linear Algebra Appl.
, vol.121
, pp. 511-520
-
-
Eirola, T.1
Nevanlinna, O.2
-
17
-
-
77958030042
-
Matrix methods in data mining and pattern recognition
-
SIAM, Philadelphia
-
L. ELDÉN, Matrix Methods in Data Mining and Pattern Recognition, Fundam. Algorithms 4, SIAM, Philadelphia, 2007.
-
(2007)
Fundam. Algorithms
, vol.4
-
-
Eldén, L.1
-
18
-
-
0030584605
-
A comparative study on methods for convergence acceleration of iterative vector sequences
-
DOI 10.1006/jcph.1996.0059
-
V. EYERT, A comparative study on methods for convergence acceleration of iterative vector sequences, J. Comput. Phys., 124(1996), pp. 271-285. (Pubitemid 126170316)
-
(1996)
Journal of Computational Physics
, vol.124
, Issue.2
, pp. 271-285
-
-
Eyert, V.1
-
19
-
-
65749083859
-
Two classes of multisecant methods for nonlinear acceleration
-
H. FANG AND Y. SAAD, Two classes of multisecant methods for nonlinear acceleration, Numer. Linear Algebra Appl., 16(2009), pp. 197-221.
-
(2009)
Numer. Linear Algebra Appl.
, vol.16
, pp. 197-221
-
-
Fang, H.1
Saad, Y.2
-
20
-
-
27844476136
-
Acceleration of the Schwarz method for elliptic problems
-
DOI 10.1137/S1064827502416344
-
M. GARBEY, Acceleration of the Schwarz method for elliptic problems, SIAM J. Sci. Comput., 26(2005), pp. 1871-1893. (Pubitemid 41641354)
-
(2005)
SIAM Journal of Scientific Computing
, vol.26
, Issue.6
, pp. 1871-1893
-
-
Garbey, M.1
-
21
-
-
0000360737
-
Continuation-conjugate gradient methods for the least squares solution of nonlinear boundary value problems
-
R. GLOWINSKI, H. B. KELLER, AND L. REINHART, Continuation-conjugate gradient methods for the least squares solution of nonlinear boundary value problems, SIAM J. Sci. Statist. Comput., 6(1985), pp. 793-832.
-
(1985)
SIAM J. Sci. Statist. Comput.
, vol.6
, pp. 793-832
-
-
Glowinski, R.1
Keller, H.B.2
Reinhart, L.3
-
22
-
-
0004236492
-
-
3rd ed., The Johns Hopkins University Press, Baltimore, MD
-
G. H. GOLUB AND C. VAN LOAN, Matrix Computations, 3rd ed., The Johns Hopkins University Press, Baltimore, MD, 1996.
-
(1996)
Matrix Computations
-
-
Golub, G.H.1
Van Loan, C.2
-
23
-
-
0001003956
-
Some results about vector extrapolation methods and related fixedpoint iterations
-
K. JBILOU AND H. SADOK, Some results about vector extrapolation methods and related fixedpoint iterations, J. Comput. Appl. Math., 36(1991), pp. 385-398.
-
(1991)
J. Comput. Appl. Math.
, vol.36
, pp. 385-398
-
-
Jbilou, K.1
Sadok, H.2
-
24
-
-
0005460306
-
Analysis of some vector extrapolation methods for solving systems of linear equations
-
K. JBILOU AND H. SADOK, Analysis of some vector extrapolation methods for solving systems of linear equations, Numer. Math., 70(1995), pp. 73-89.
-
(1995)
Numer. Math.
, vol.70
, pp. 73-89
-
-
Jbilou, K.1
Sadok, H.2
-
25
-
-
0034289824
-
Vector extrapolation methods. Applications and numerical comparison
-
DOI 10.1016/S0377-0427(00)00357-5, PII S0377042700003575, Numerical Analysis 2000 Vol II Interpolation and Extrapolation
-
K. JBILOU AND H. SADOK, Vector extrapolation methods. Applications and numerical comparison, J. Comput. Appl. Math., 122(2000), pp. 149-165. (Pubitemid 32270248)
-
(2000)
Journal of Computational and Applied Mathematics
, vol.122
, Issue.1-2
, pp. 149-165
-
-
Jbilou, K.1
Sadok, H.2
-
26
-
-
0002914778
-
Iterative methods for linear and nonlinear equations
-
SIAM, Philadelphia
-
C. T. KELLEY, Iterative Methods for Linear and Nonlinear Equations, Frontiers Appl. Math. 16, SIAM, Philadelphia, 1995.
-
(1995)
Frontiers Appl. Math.
, vol.16
-
-
Kelley, C.T.1
-
27
-
-
0348198275
-
Jacobian-free Newton-Krylov methods: A survey of approaches and applications
-
DOI 10.1016/j.jcp.2003.08.010
-
D. A. KNOLL AND D. E. KEYES, Jacobian-free Newton-Krylov methods: A survey of approaches and applications, J. Comput. Phys., 193(2004), pp. 357-397. (Pubitemid 38065123)
-
(2004)
Journal of Computational Physics
, vol.193
, Issue.2
, pp. 357-397
-
-
Knoll, D.A.1
Keyes, D.E.2
-
28
-
-
0030190741
-
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set
-
DOI 10.1016/0927-0256(96)00008-0, PII S0927025696000080
-
G. KRESSE AND J. FURTHMÜLLER, Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set, Comput. Mater. Sci., 6(1996), pp. 15-50. (Pubitemid 126412269)
-
(1996)
Computational Materials Science
, vol.6
, Issue.1
, pp. 15-50
-
-
Kresse, G.1
Furthmuller, J.2
-
29
-
-
2442537377
-
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
-
G. KRESSE AND J. FURTHMÜLLER, Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set, Phys. Rev. B, 54(1996), pp. 169-186.
-
(1996)
Phys. Rev. B
, vol.54
, pp. 169-186
-
-
Kresse, G.1
Furthmüller, J.2
-
30
-
-
23044436250
-
Nonlinear Krylov and moving nodes in the method of lines
-
DOI 10.1016/j.cam.2004.12.032, PII S0377042705000658, Method of Lines:Dedicated to Keith Miller
-
K. MILLER, Nonlinear Krylov and moving nodes in the method of lines, J. Comput. Appl. Math., 183(2005), pp. 275-287. (Pubitemid 41064383)
-
(2005)
Journal of Computational and Applied Mathematics
, vol.183
, Issue.2
, pp. 275-287
-
-
Miller, K.1
-
31
-
-
80052720233
-
-
Ph. D. thesis, Worcester Polytechnic Institute, Worcester, MA
-
P. NI, Anderson Acceleration of Fixed-Point Iteration with Applications to Electronic Structure Computations, Ph. D. thesis, Worcester Polytechnic Institute, Worcester, MA, 2009.
-
(2009)
Anderson Acceleration of Fixed-point Iteration with Applications to Electronic Structure Computations
-
-
Ni, P.1
-
32
-
-
80052721258
-
A linearly constrained least-squares problem in electronic structure computations
-
Mathematical Sciences Department, Worcester Polytechnic Institute, Worcester, MA
-
P. NI AND H. F. WALKER, A Linearly Constrained Least-Squares Problem in Electronic Structure Computations, Tech. Report MS-1-13-46, Mathematical Sciences Department, Worcester Polytechnic Institute, Worcester, MA, 2010.
-
(2010)
Tech. Report MS-1-13-46
-
-
Ni, P.1
Walker, H.F.2
-
33
-
-
0033708934
-
Krylov subspace acceleration of nonlinear multigrid with application to recirculating flows
-
C. W. OOSTERLEE AND T. WASHIO, Krylov subspace acceleration of nonlinear multigrid with application to recirculating flows, SIAM J. Sci. Comput., 21(2000), pp. 1670-1690.
-
(2000)
SIAM J. Sci. Comput.
, vol.21
, pp. 1670-1690
-
-
Oosterlee, C.W.1
Washio, T.2
-
34
-
-
0001374796
-
NITSOL: A Newton iterative solver for nonlinear systems
-
PII S1064827596303843
-
M. PERNICE AND H. F. WALKER, NITSOL: A Newton iterative solver for nonlinear systems, SIAM J. Sci. Comput., 19(1998), pp. 302-318. (Pubitemid 128617514)
-
(1998)
SIAM Journal of Scientific Computing
, vol.19
, Issue.1
, pp. 302-318
-
-
Pernice, M.1
Walker, H.F.2
-
35
-
-
84986524957
-
Convergence acceleration of iterative sequences. The case of SCF iteration
-
P. PULAY, Convergence acceleration of iterative sequences. The case of SCF iteration, Chem. Phys. Lett., 73(1980), pp. 393-398.
-
(1980)
Chem. Phys. Lett.
, vol.73
, pp. 393-398
-
-
Pulay, P.1
-
36
-
-
44349162071
-
Improved SCF convergence
-
P. PULAY, Improved SCF convergence, J. Comput. Chem., 3(1982), pp. 556-560.
-
(1982)
J. Comput. Chem.
, vol.3
, pp. 556-560
-
-
Pulay, P.1
-
37
-
-
0021404166
-
Mixture densities, maximum likelihood and the EM algorithm
-
R. A. REDNER AND H. F. WALKER, Mixture densities, maximum likelihood and the EM algorithm, SIAM Rev., 26(1984), pp. 195-239.
-
(1984)
SIAM Rev.
, vol.26
, pp. 195-239
-
-
Redner, R.A.1
Walker, H.F.2
-
38
-
-
84966222159
-
Krylov subspace methods for solving large unsymmetric linear systems
-
Y. SAAD, Krylov subspace methods for solving large unsymmetric linear systems, Math. Comp., 37(1981), pp. 105-126.
-
(1981)
Math. Comp.
, vol.37
, pp. 105-126
-
-
Saad, Y.1
-
40
-
-
0000048673
-
GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
-
Y. SAAD AND M. H. SCHULTZ, GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Sci. Statist. Comput., 7(1986), pp. 856-869.
-
(1986)
SIAM J. Sci. Statist. Comput.
, vol.7
, pp. 856-869
-
-
Saad, Y.1
Schultz, M.H.2
-
41
-
-
0000905616
-
Adjustment of an inverse matrix corresponding to changes in the elements of a given column or a given row of the original matrix
-
J. SHERMAN AND W. J. MORRISON, Adjustment of an inverse matrix corresponding to changes in the elements of a given column or a given row of the original matrix, Ann. Math. Statistics, 20(1949), p. 621.
-
(1949)
Ann. Math. Statistics
, vol.20
, pp. 621
-
-
Sherman, J.1
Morrison, W.J.2
-
42
-
-
0023364737
-
Extrapolation methods for vector sequences
-
D. A. SMITH, W. F. FORD, AND A. SIDI, Extrapolation methods for vector sequences, SIAM Rev., 29(1987), pp. 199-233.
-
(1987)
SIAM Rev.
, vol.29
, pp. 199-233
-
-
Smith, D.A.1
Ford, W.F.2
Sidi, A.3
-
44
-
-
0003742929
-
Inverting modified matrices
-
Statistical Research Group, Princeton University, Princeton, NJ
-
M. A. WOODBURY, Inverting Modified Matrices, Tech. Report Memorandum Report 42, Statistical Research Group, Princeton University, Princeton, NJ, 1950.
-
(1950)
Tech. Report Memorandum Report 42
-
-
Woodbury, M.A.1
-
45
-
-
65849463189
-
KSSOLV-a MATLAB toolbox for solving the Kohn-Sham equations
-
C. YANG, J. C. MEZA, B. LEE, AND L.-W. WANG, KSSOLV-a MATLAB toolbox for solving the Kohn-Sham equations, ACM Trans. Math. Software, 36(2009), pp. 1-35.
-
(2009)
ACM Trans. Math. Software
, vol.36
, pp. 1-35
-
-
Yang, C.1
Meza, J.C.2
Lee, B.3
Wang, L.-W.4
-
46
-
-
0004155393
-
-
Ph. D. thesis, Department of Computer Science, University of Illinois at Urbana-Champaign, Urbana, IL
-
U. M. YANG, A Family of Preconditioned Iterative Solvers for Sparse Linear Systems, Ph. D. thesis, Department of Computer Science, University of Illinois at Urbana-Champaign, Urbana, IL, 1995.
-
(1995)
A Family of Preconditioned Iterative Solvers for Sparse Linear Systems
-
-
Yang, U.M.1
-
47
-
-
57049175257
-
Nonlinear elimination in aerodynamic analysis and design optimization
-
L. T. Biegler, O. Ghattas, M. Heinkenschloss, and B. van Bloemen Waanders, eds., Springer-Verlag, Berlin, Heidelberg, New York
-
D. P. YOUNG, W. P. HUFFMAN, R. G. MELVIN, C. L. HILMES, AND F. T. JOHNSON, Nonlinear elimination in aerodynamic analysis and design optimization, in Large-Scale PDE-Constrained Optimization, L. T. Biegler, O. Ghattas, M. Heinkenschloss, and B. van Bloemen Waanders, eds., Springer-Verlag, Berlin, Heidelberg, New York, 2003, pp. 17-43.
-
(2003)
Large-scale PDE-constrained Optimization
, pp. 17-43
-
-
Young, D.P.1
Huffman, W.P.2
Melvin, R.G.3
Hilmes, C.L.4
Johnson, F.T.5
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