-
1
-
-
2342531211
-
-
Ph.D. thesis, University of Colorado, Boulder, Department of Computer Science
-
B. W. BADER, Tensor-Krylov Methods for Solving Large-Scale Systems of Nonlinear Equations, Ph.D. thesis, University of Colorado, Boulder, Department of Computer Science, 2003.
-
(2003)
Tensor-Krylov Methods for Solving Large-scale Systems of Nonlinear Equations
-
-
Bader, B.W.1
-
3
-
-
85140870730
-
On the performance of tensor methods for solving ill-conditioned problems
-
submitted
-
B. W. BADER AND R. B. SCHNABEL, On the performance of tensor methods for solving ill-conditioned problems, SIAM J. Sci. Comput., submitted.
-
SIAM J. Sci. Comput.
-
-
Bader, B.W.1
Schnabel, R.B.2
-
4
-
-
2342488828
-
Curvilinear linesearch for tensor methods
-
B. W. BADER AND R. B. SCHNABEL, Curvilinear linesearch for tensor methods, SIAM J. Sci, Comput., 25 (2003), pp. 604-622.
-
(2003)
SIAM J. Sci, Comput.
, vol.25
, pp. 604-622
-
-
Bader, B.W.1
Schnabel, R.B.2
-
6
-
-
0031152378
-
Algorithm 768: TENSOLVE: A software package for solving systems of nonlinear equations and nonlinear least-squares problems using tensor methods
-
A. BOUARICHA AND R. B. SCHNABEL, Algorithm 768: TENSOLVE: A software package for solving systems of nonlinear equations and nonlinear least-squares problems using tensor methods, ACM Trans. Math. Software, 23 (1997), pp. 174-195.
-
(1997)
ACM Trans. Math. Software
, vol.23
, pp. 174-195
-
-
Bouaricha, A.1
Schnabel, R.B.2
-
7
-
-
33750393487
-
Reduced storage methods in stiff ODE systems
-
P. N. BROWN AND A. C. HINDMARSH, Reduced storage methods in stiff ODE systems, J. Appl. Math. Comp., 31 (1989), pp. 40-91.
-
(1989)
J. Appl. Math. Comp.
, vol.31
, pp. 40-91
-
-
Brown, P.N.1
Hindmarsh, A.C.2
-
8
-
-
0000977352
-
Hybrid Krylov methods for nonlinear systems of equations
-
P. N. BROWN AND Y. SAAD, Hybrid Krylov methods for nonlinear systems of equations, SIAM J. Sci. Statist. Comput., 11 (1990), pp. 450-481.
-
(1990)
SIAM J. Sci. Statist. Comput.
, vol.11
, pp. 450-481
-
-
Brown, P.N.1
Saad, Y.2
-
9
-
-
0000873548
-
Newton-like pseudo-arclength methods for computing simple turning points
-
T. F. CHAN, Newton-like pseudo-arclength methods for computing simple turning points, SIAM J. Sci. Statist. Comput., 5 (1984), pp. 135-148.
-
(1984)
SIAM J. Sci. Statist. Comput.
, vol.5
, pp. 135-148
-
-
Chan, T.F.1
-
10
-
-
0031488469
-
Deflated and augmented Krylov subspace techniques
-
A. CHAPMAN AND Y. SAAD, Deflated and augmented Krylov subspace techniques, Numer. Linear Algebra Appl., 4 (1997), pp. 43-66.
-
(1997)
Numer. Linear Algebra Appl.
, vol.4
, pp. 43-66
-
-
Chapman, A.1
Saad, Y.2
-
11
-
-
0001261109
-
Convergence rate for Newton's method at singular points
-
D. W. DECKER, H. B. KELLER, AND C. T. KELLEY, Convergence rate for Newton's method at singular points, SIAM J. Numer. Anal., 20 (1983), pp. 296-314.
-
(1983)
SIAM J. Numer. Anal.
, vol.20
, pp. 296-314
-
-
Decker, D.W.1
Keller, H.B.2
Kelley, C.T.3
-
12
-
-
0002689824
-
Newton's method at singular points I
-
D. W. DECKER AND C. T. KELLEY, Newton's method at singular points I, SIAM J. Numer. Anal., 17 (1980), pp. 66-70.
-
(1980)
SIAM J. Numer. Anal.
, vol.17
, pp. 66-70
-
-
Decker, D.W.1
Kelley, C.T.2
-
13
-
-
0002689826
-
Newton's method at singular points II
-
D. W. DECKER AND C. T. KELLEY, Newton's method at singular points II, SIAM J. Numer. Anal., 17 (1980), pp. 465-471.
-
(1980)
SIAM J. Numer. Anal.
, vol.17
, pp. 465-471
-
-
Decker, D.W.1
Kelley, C.T.2
-
14
-
-
0000746005
-
Inexact Newton methods
-
R. S. DEMBO, S. C. EISENSTAT, AND T. STEIHAUG, Inexact Newton methods, SIAM J. Numer. Anal., 19 (1982), pp. 400-408.
-
(1982)
SIAM J. Numer. Anal.
, vol.19
, pp. 400-408
-
-
Dembo, R.S.1
Eisenstat, S.C.2
Steihaug, T.3
-
15
-
-
0004041275
-
-
Prentice-Hall, Englewood Cliffs, NJ
-
J. B. DENNIS, JR. AND R. B. SCHNABEL, Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Prentice-Hall, Englewood Cliffs, NJ, 1983.
-
(1983)
Numerical Methods for Unconstrained Optimization and Nonlinear Equations
-
-
Dennis Jr., J.B.1
Schnabel, R.B.2
-
16
-
-
0003176174
-
Choosing the forcing terms in an inexact Newton method
-
S. C. EISENSTAT AND H. F. WALKER, Choosing the forcing terms in an inexact Newton method, SIAM J. Sci. Comput., 17 (1996), pp. 16-32.
-
(1996)
SIAM J. Sci. Comput.
, vol.17
, pp. 16-32
-
-
Eisenstat, S.C.1
Walker, H.F.2
-
17
-
-
34250084281
-
Local convergence analysis of tensor methods for nonlinear equations
-
D. FENG, P. D. FRANK, AND R. B. SCHNABEL, Local convergence analysis of tensor methods for nonlinear equations, Math. Program., 62 (1993), pp. 427-459.
-
(1993)
Math. Program.
, vol.62
, pp. 427-459
-
-
Feng, D.1
Frank, P.D.2
Schnabel, R.B.3
-
18
-
-
0031285892
-
Tensor-GMRES method for large systems of nonlinear equations
-
D. FENG AND T. H. PULLIAM, Tensor-GMRES method for large systems of nonlinear equations, SIAM J. Optim., 7 (1997), pp. 757-779.
-
(1997)
SIAM J. Optim.
, vol.7
, pp. 757-779
-
-
Feng, D.1
Pulliam, T.H.2
-
21
-
-
0001281959
-
On Newton's method for singular problems
-
G. W. REDDIEN, On Newton's method for singular problems, SIAM J. Numer. Anal., 15 (1978), pp. 993-996.
-
(1978)
SIAM J. Numer. Anal.
, vol.15
, pp. 993-996
-
-
Reddien, G.W.1
-
22
-
-
84968508607
-
Implementation aspects of band Lanczos algorithms for computation of eigenvalues of large sparse symmetric matrices
-
A. RUHE, Implementation aspects of band Lanczos algorithms for computation of eigenvalues of large sparse symmetric matrices, Math. Comput., 33 (1979), pp. 680-687.
-
(1979)
Math. Comput.
, vol.33
, pp. 680-687
-
-
Ruhe, A.1
-
23
-
-
84966222159
-
Krylov subspace methods for solving unsymmetric linear systems
-
Y. SAAD, Krylov subspace methods for solving unsymmetric linear systems, Math. Comp., 37 (1981), pp. 105-126.
-
(1981)
Math. Comp.
, vol.37
, pp. 105-126
-
-
Saad, Y.1
-
24
-
-
84985408358
-
ILUT: A dual threshold incomplete ILU preconditioned
-
Y. SAAD, ILUT: A dual threshold incomplete ILU preconditioned Numer. Linear Algebra Appl., 1 (1994), pp. 387-402.
-
(1994)
Numer. Linear Algebra Appl.
, vol.1
, pp. 387-402
-
-
Saad, Y.1
-
25
-
-
0031534369
-
Analysis of augmented Krylov subspace methods
-
Y. SAAD, Analysis of augmented Krylov subspace methods, SIAM J. Matrix Anal. Appl., 18 (1997), pp. 435-449.
-
(1997)
SIAM J. Matrix Anal. Appl.
, vol.18
, pp. 435-449
-
-
Saad, Y.1
-
26
-
-
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
-
27
-
-
0003997220
-
MPSalsa, a finite element computer program for reacting flow problems, part 2 - User's guide
-
Sandia National Laboratories, Albuquerque, NM
-
A. G. SALINGER, K. D. DEVINE, G. L. HENNIGAN, H. K. MOFFAT, S. A. HUTCHINSON, AND J. N. SHADID, MPSalsa, A Finite Element Computer Program for Reacting Flow Problems, Part 2 - User's Guide, Technical report SAND96-2331, Sandia National Laboratories, Albuquerque, NM, 1996.
-
(1996)
Technical Report
, vol.SAND96-2331
-
-
Salinger, A.G.1
Devine, K.D.2
Hennigan, G.L.3
Moffat, H.K.4
Hutchinson, S.A.5
Shadid, J.N.6
-
28
-
-
0021510543
-
Tensor methods for nonlinear equations
-
R. B. SCHNABEL AND P. D. FRANK, Tensor methods for nonlinear equations, SIAM J. Numer. Anal., 21 (1984), pp. 815-843.
-
(1984)
SIAM J. Numer. Anal.
, vol.21
, pp. 815-843
-
-
Schnabel, R.B.1
Frank, P.D.2
-
29
-
-
0033267340
-
A fully-coupled Newton-Krylov solution method for parallel unstructured finite element fluid flow, heat and mass transfer simulations
-
J. N. SHADID, A fully-coupled Newton-Krylov solution method for parallel unstructured finite element fluid flow, heat and mass transfer simulations, Int. J. Comput. Fluid Dyn., 12 (1999), pp. 199-211.
-
(1999)
Int. J. Comput. Fluid Dyn.
, vol.12
, pp. 199-211
-
-
Shadid, J.N.1
-
30
-
-
0001176429
-
An inexact Newton method for fully coupled solution of the Navier-Stokes equations with heat and mass transport
-
J. N. SHADID, R. S. TUMINARO, AND H. F. WALKER, An inexact Newton method for fully coupled solution of the Navier-Stokes equations with heat and mass transport, J. Comput. Phys., 137 (1997), pp. 155-185.
-
(1997)
J. Comput. Phys.
, vol.137
, pp. 155-185
-
-
Shadid, J.N.1
Tuminaro, R.S.2
Walker, H.F.3
-
31
-
-
0037055748
-
On backtracking failure in Newton-GMRES methods with a demonstration for the Navier-Stokes equations
-
R. S. TUMINARO, H. F. WALKER, AND J. N. SHADID, On backtracking failure in Newton-GMRES methods with a demonstration for the Navier-Stokes equations, J. Comput. Phys., 180 (2002), pp. 549-558.
-
(2002)
J. Comput. Phys.
, vol.180
, pp. 549-558
-
-
Tuminaro, R.S.1
Walker, H.F.2
Shadid, J.N.3
|