-
1
-
-
0004155392
-
Iterative Methods for Linear and Nonlinear Equations
-
SIAM: Philadelphia, PA,
-
Kelley CT. Iterative Methods for Linear and Nonlinear Equations. SIAM: Philadelphia, PA, 1995.
-
(1995)
-
-
Kelley, C.T.1
-
2
-
-
17644411935
-
Solving Nonlinear Equations with Newton's Method
-
Fundamentals of Algorithms. SIAM: Philadelphia, PA,
-
Kelley CT. Solving Nonlinear Equations with Newton's Method. Fundamentals of Algorithms. SIAM: Philadelphia, PA, 2003.
-
(2003)
-
-
Kelley, C.T.1
-
4
-
-
0000109908
-
Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion
-
Mousseau VA, Knoll DA, Rider WJ. Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion. Journal of Computational Physics 2000; 160:743-765.
-
(2000)
Journal of Computational Physics
, vol.160
, pp. 743-765
-
-
Mousseau, V.A.1
Knoll, D.A.2
Rider, W.J.3
-
5
-
-
14044257293
-
Terascale Implicit Methods for Partial Differential Equations
-
Contemporary Mathematics, AMS: Providence, RI
-
Keyes D. Terascale Implicit Methods for Partial Differential Equations. Contemporary Mathematics, vol. 306. AMS: Providence, RI, 2001; 29-84.
-
(2001)
, vol.306
, pp. 29-84
-
-
Keyes, D.1
-
6
-
-
0038115253
-
An efficient physics-based preconditioner for the fully implicit solution of small-scale thermally driven atmospheric flows
-
Reisner J, Mousseau VA, Wyszogrodzki AA, Knoll DA. An efficient physics-based preconditioner for the fully implicit solution of small-scale thermally driven atmospheric flows. Journal of Computational Physics 2003; 189:30-44.
-
(2003)
Journal of Computational Physics
, vol.189
, pp. 30-44
-
-
Reisner, J.1
Mousseau, V.A.2
Wyszogrodzki, A.A.3
Knoll, D.A.4
-
7
-
-
0348198275
-
Jacobian-free Newton-Krylov methods: a survey of approaches and applications
-
Knoll DA, Keyes D. Jacobian-free Newton-Krylov methods: a survey of approaches and applications. Journal of Computational Physics 2004; 193:357-397.
-
(2004)
Journal of Computational Physics
, vol.193
, pp. 357-397
-
-
Knoll, D.A.1
Keyes, D.2
-
8
-
-
37849018804
-
A method to reduce the spin-up time of ocean models
-
Bernsen E, Dijkstra HA, Wubs FW. A method to reduce the spin-up time of ocean models. Ocean Modelling 2008; 20:380-392.
-
(2008)
Ocean Modelling
, vol.20
, pp. 380-392
-
-
Bernsen, E.1
Dijkstra, H.A.2
Wubs, F.W.3
-
9
-
-
44649141252
-
A fast Newton-Krylov solver for seasonally varying global ocean biogeochemistry models
-
Li X, Primeau F. A fast Newton-Krylov solver for seasonally varying global ocean biogeochemistry models. Ocean Modelling 2008; 23:13-20.
-
(2008)
Ocean Modelling
, vol.23
, pp. 13-20
-
-
Li, X.1
Primeau, F.2
-
10
-
-
46849115990
-
Fast spin up of ocean biogeochemical models using matrix-free Newton-Krylov
-
Khatiwala S. Fast spin up of ocean biogeochemical models using matrix-free Newton-Krylov. Ocean Modelling 2008; 23:121-129.
-
(2008)
Ocean Modelling
, vol.23
, pp. 121-129
-
-
Khatiwala, S.1
-
11
-
-
0001651643
-
Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms
-
Chan T, Jackson K. Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms. SIAM Journal on Scientific and Statistical Computing 1984; 5(3):533-542.
-
(1984)
SIAM Journal on Scientific and Statistical Computing
, vol.5
, Issue.3
, pp. 533-542
-
-
Chan, T.1
Jackson, K.2
-
12
-
-
0032209239
-
A fast, matrix-free implicit method for compressible flows on unstructured grids
-
Luo H, Baum JD, Löhner R. A fast, matrix-free implicit method for compressible flows on unstructured grids. Journal of Computational Physics 1998; 146(2):664-690.
-
(1998)
Journal of Computational Physics
, vol.146
, Issue.2
, pp. 664-690
-
-
Luo, H.1
Baum, J.D.2
Löhner, R.3
-
13
-
-
78649654405
-
-
A matrix-free preconditioner applied to CFD. Technical Report No. 940, INRIA, France
-
Choquet R. A matrix-free preconditioner applied to CFD. Technical Report No. 940, INRIA, France, 1995.
-
(1995)
-
-
Choquet, R.1
-
14
-
-
33747619635
-
A Jacobian-free Newton-GMRES(m) method with adaptive preconditioner and its application for power flow calculations
-
Chen Y, Shen C. A Jacobian-free Newton-GMRES(m) method with adaptive preconditioner and its application for power flow calculations. IEEE Transactions on Power Systems 2006; 21(3):1096-1103.
-
(2006)
IEEE Transactions on Power Systems
, vol.21
, Issue.3
, pp. 1096-1103
-
-
Chen, Y.1
Shen, C.2
-
15
-
-
0034345411
-
Automatic preconditioning by limited memory quasi-Newton updating
-
electronic).
-
Morales JL, Nocedal J. Automatic preconditioning by limited memory quasi-Newton updating. SIAM Journal on Optimization 2000; 10(4):1079-1096 (electronic).
-
(2000)
SIAM Journal on Optimization
, vol.10
, Issue.4
, pp. 1079-1096
-
-
Morales, J.L.1
Nocedal, J.2
-
17
-
-
84966262179
-
Updating quasi-Newton matrices with limited storage
-
Nocedal J. Updating quasi-Newton matrices with limited storage. Mathematical Computations 1980; 35(151):773-782.
-
(1980)
Mathematical Computations
, vol.35
, Issue.151
, pp. 773-782
-
-
Nocedal, J.1
-
18
-
-
0037711492
-
High-order finite difference schemes and Toeplitz based preconditioners for elliptic problems
-
electronic).
-
Serra Capizzano S, Tablino Possio C. High-order finite difference schemes and Toeplitz based preconditioners for elliptic problems. Electronic Transactions on Numerical Analysis 2000; 11:55-84 (electronic).
-
(2000)
Electronic Transactions on Numerical Analysis
, vol.11
, pp. 55-84
-
-
Serra Capizzano, S.1
Tablino Possio, C.2
-
20
-
-
12944291389
-
Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation
-
Bertaccini D, Golub GH, Serra Capizzano S, Tablino Possio C. Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation. Numerische Mathematik 2005; 99(3):441-484.
-
(2005)
Numerische Mathematik
, vol.99
, Issue.3
, pp. 441-484
-
-
Bertaccini, D.1
Golub, G.H.2
Serra Capizzano, S.3
Tablino Possio, C.4
-
24
-
-
0342602167
-
A restarted GMRES method augmented with eigenvectors
-
Morgan RB. A restarted GMRES method augmented with eigenvectors. SIAM Journal on Matrix Analysis and Applications 1995; 16(4):1154-1171.
-
(1995)
SIAM Journal on Matrix Analysis and Applications
, vol.16
, Issue.4
, pp. 1154-1171
-
-
Morgan, R.B.1
-
25
-
-
0033678178
-
A deflated version of the conjugate gradient algorithm
-
Iterative methods for solving systems of algebraic equations (Copper Mountain, CO, 1998)
-
Saad Y, Yeung M, Erhel J, Guyomarc'h F. A deflated version of the conjugate gradient algorithm. SIAM Journal on Scientific Computing 2000; 21(5):1742-1749. Iterative methods for solving systems of algebraic equations (Copper Mountain, CO, 1998).
-
(2000)
SIAM Journal on Scientific Computing
, vol.21
, Issue.5
, pp. 1742-1749
-
-
Saad, Y.1
Yeung, M.2
Erhel, J.3
Guyomarc'h, F.4
-
26
-
-
34249313627
-
Recycling Krylov subspaces for sequences of linear systems
-
electronic).
-
Parks ML, de Sturler E, Mackey G, Johnson DD, Maiti S. Recycling Krylov subspaces for sequences of linear systems. SIAM Journal on Scientific Computing 2006; 28(5):1651-1674 (electronic).
-
(2006)
SIAM Journal on Scientific Computing
, vol.28
, Issue.5
, pp. 1651-1674
-
-
Parks, M.L.1
de Sturler, E.2
Mackey, G.3
Johnson, D.D.4
Maiti, S.5
-
28
-
-
40449138046
-
-
Large scale topology optimization using preconditioned Krylov subspace recycling and continuous approximation of material distribution. In Multiscale and Functionally Graded Materials 2006 (M&FGM 2006), Paulino GH, Pindera M-J, Dodds Jr RH, Rochinha FA, Dave E, Chen L (eds), Oahu Island, Hawaii, 15-18 October 2006. AIP Conference Proceedings, 2008
-
de Sturler E, Le C, Wang S, Paulino G. Large scale topology optimization using preconditioned Krylov subspace recycling and continuous approximation of material distribution. In Multiscale and Functionally Graded Materials 2006 (M&FGM 2006), Paulino GH, Pindera M-J, Dodds Jr RH, Rochinha FA, Dave E, Chen L (eds), Oahu Island, Hawaii, 15-18 October 2006. AIP Conference Proceedings, 2008; 279-284.
-
-
-
de Sturler, E.1
Le, C.2
Wang, S.3
Paulino, G.4
-
29
-
-
0036223272
-
On the incomplete Cholesky decomposition of a class of perturbed matrices
-
(electronic). Copper Mountain Conference, 2000
-
Meurant G. On the incomplete Cholesky decomposition of a class of perturbed matrices. SIAM Journal on Scientific Computing 2001; 23(2):419-429 (electronic). Copper Mountain Conference, 2000.
-
(2001)
SIAM Journal on Scientific Computing
, vol.23
, Issue.2
, pp. 419-429
-
-
Meurant, G.1
-
30
-
-
4043133030
-
Approximate inverse preconditioning for shifted linear systems
-
Benzi M, Bertaccini D. Approximate inverse preconditioning for shifted linear systems. BIT 2003; 43(2):231-244.
-
(2003)
BIT
, vol.43
, Issue.2
, pp. 231-244
-
-
Benzi, M.1
Bertaccini, D.2
-
31
-
-
22744450197
-
Efficient preconditioning for sequences of parametric complex symmetric linear systems
-
Bertaccini D. Efficient preconditioning for sequences of parametric complex symmetric linear systems. Electronic Transactions on Numerical Mathematics 2004; 18:49-64.
-
(2004)
Electronic Transactions on Numerical Mathematics
, vol.18
, pp. 49-64
-
-
Bertaccini, D.1
-
32
-
-
52149094645
-
Efficient preconditioning of sequences of nonsymmetric linear systems
-
Duintjer Tebbens J, Tůma M. Efficient preconditioning of sequences of nonsymmetric linear systems. SIAM Journal on Scientific Computing 2007; 29(5):1918-1941.
-
(2007)
SIAM Journal on Scientific Computing
, vol.29
, Issue.5
, pp. 1918-1941
-
-
Duintjer Tebbens, J.1
Tůma, M.2
-
33
-
-
70350286251
-
Improving Triangular Preconditioner Updates for Nonsymmetric Linear Systems
-
Lecture Notes in Computer Science, Springer: New York,
-
Duintjer Tebbens J, Tůma M. Improving Triangular Preconditioner Updates for Nonsymmetric Linear Systems. Lecture Notes in Computer Science, vol. 4818. Springer: New York, 2008; 737-744.
-
(2008)
, vol.4818
, pp. 737-744
-
-
Duintjer Tebbens, J.1
Tůma, M.2
-
34
-
-
52149111649
-
Preconditioner updates applied to CFD model problems
-
Birken P, Duintjer Tebbens J, Meister A, Tůma M. Preconditioner updates applied to CFD model problems. Applied Numerical Mathematics 2008; 58(11):1628-1641.
-
(2008)
Applied Numerical Mathematics
, vol.58
, Issue.11
, pp. 1628-1641
-
-
Birken, P.1
Duintjer Tebbens, J.2
Meister, A.3
Tůma, M.4
-
36
-
-
0000421410
-
Estimation of sparse Jacobian matrices and graph coloring problems
-
Coleman TF, Moré JJ. Estimation of sparse Jacobian matrices and graph coloring problems. SIAM Journal on Numerical Analysis 1983; 20:187-209.
-
(1983)
SIAM Journal on Numerical Analysis
, vol.20
, pp. 187-209
-
-
Coleman, T.F.1
Moré, J.J.2
-
37
-
-
28244465516
-
What color is your Jacobian? Graph coloring for computing derivatives
-
Gebremedhin AH, Manne F, Pothen A. What color is your Jacobian? Graph coloring for computing derivatives. SIAM Review 2005; 47:629-705.
-
(2005)
SIAM Review
, vol.47
, pp. 629-705
-
-
Gebremedhin, A.H.1
Manne, F.2
Pothen, A.3
-
38
-
-
0003378255
-
Nonlinear Optimization, 1981 (Cambridge, 1981)
-
NATO Conference Series II: Systems Science. Academic Press: London,
-
Griewank A, Toint PL. On the unconstrained optimization of partially separable functions. Nonlinear Optimization, 1981 (Cambridge, 1981). NATO Conference Series II: Systems Science. Academic Press: London, 1982; 301-312.
-
(1982)
On the unconstrained optimization of partially separable functions
, pp. 301-312
-
-
Griewank, A.1
Toint, P.L.2
-
39
-
-
33845319245
-
Matrix-free preconditioning using partial matrix estimation
-
Cullum J, Tůma M. Matrix-free preconditioning using partial matrix estimation. BIT Numerical Mathematics 2006; 46:711-729.
-
(2006)
BIT Numerical Mathematics
, vol.46
, pp. 711-729
-
-
Cullum, J.1
Tůma, M.2
-
40
-
-
0003603813
-
Computers and Intractability: A Guide to the Theory of NP-Completeness
-
Freeman & Co.: New York,
-
Garey MR, Johnson DS. Computers and Intractability: A Guide to the Theory of NP-Completeness. Freeman & Co.: New York, 1979.
-
(1979)
-
-
Garey, M.R.1
Johnson, D.S.2
-
43
-
-
0016940739
-
Comparative analysis of the Cuthill-McKee and the reverse Cuthill-McKee ordering algorithms for sparse matrices
-
Liu JWH, Sherman AH. Comparative analysis of the Cuthill-McKee and the reverse Cuthill-McKee ordering algorithms for sparse matrices. SIAM Journal on Numerical Analysis 1976; 13:198-213.
-
(1976)
SIAM Journal on Numerical Analysis
, vol.13
, pp. 198-213
-
-
Liu, J.W.H.1
Sherman, A.H.2
-
44
-
-
0033293791
-
Orderings for incomplete factorization preconditioning of nonsymmetric problems
-
Benzi M, Szyld DB, van Duin A. Orderings for incomplete factorization preconditioning of nonsymmetric problems. SIAM Journal on Scientific Computing 1999; 20(5):1652-1670.
-
(1999)
SIAM Journal on Scientific Computing
, vol.20
, Issue.5
, pp. 1652-1670
-
-
Benzi, M.1
Szyld, D.B.2
van Duin, A.3
-
45
-
-
0031651231
-
Computational experience with globally convergent descent methods for large sparse systems of nonlinear equations
-
Lukšan L, Vlček J. Computational experience with globally convergent descent methods for large sparse systems of nonlinear equations. Optimization Methods in Software 1998; 8(3-4):201-223.
-
(1998)
Optimization Methods in Software
, vol.8
, Issue.3-4
, pp. 201-223
-
-
Lukšan, L.1
Vlček, J.2
-
46
-
-
78649680364
-
-
UFO 2008-interactive system for universal functional optimization. Technical Report V-1040, downloadable from, ICS AS CR .
-
Lukšan L, Tůma M, Vlček J, Ramešová N, Šiška M, Hartman J, Matonoha C. UFO 2008-interactive system for universal functional optimization. Technical Report V-1040, downloadable from, ICS AS CR 2008.
-
(2008)
-
-
Lukšan, L.1
Tůma, M.2
Vlček, J.3
Ramešová, N.4
Šiška, M.5
Hartman, J.6
Matonoha, C.7
-
47
-
-
84985408358
-
ILUT: a dual threshold incomplete LU factorization
-
Saad Y. ILUT: a dual threshold incomplete LU factorization. Numerical Linear Algebra with Applications 1994; 1(4):387-402.
-
(1994)
Numerical Linear Algebra with Applications
, vol.1
, Issue.4
, pp. 387-402
-
-
Saad, Y.1
-
48
-
-
68849103142
-
Iterative solvers within sequences of large linear systems in non-linear structural mechanics
-
Hartmann S, Duintjer Tebbens J, Quint K, Meister A. Iterative solvers within sequences of large linear systems in non-linear structural mechanics. ZAMM 2009; 89:711-728.
-
(2009)
ZAMM
, vol.89
, pp. 711-728
-
-
Hartmann, S.1
Duintjer Tebbens, J.2
Quint, K.3
Meister, A.4
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