-
2
-
-
0008441139
-
Numerical methods in Markov chain modeling
-
B. PHILIPPE, Y. SAAD, AND W. J. STEWART, Numerical methods in Markov chain modeling, Oper. Res., 40 (1992), pp. 1156-1179.
-
(1992)
Oper. Res.
, vol.40
, pp. 1156-1179
-
-
Philippe, B.1
Saad, Y.2
Stewart, W.J.3
-
5
-
-
0037768309
-
On the utility of the multi-level algorithm for the solution of nearly completely decomposable Markov chains
-
W. Stewart, ed., Kluwer Academic, Dordrecht, The N etherlands
-
S. T. LEUTENEGGER AND G. HORTON, On the utility of the multi-level algorithm for the solution of nearly completely decomposable Markov chains, in Numerical Solution of Markov Chains, W. Stewart, ed., Kluwer Academic, Dordrecht, The N etherlands, 1995, pp. 425-443.
-
(1995)
Numerical Solution of Markov Chains
, pp. 425-443
-
-
Leutenegger, S.T.1
Horton, G.2
-
6
-
-
55349090995
-
Multilevel adaptive aggregation for Markov chains, with application to web ranking
-
H. DE STERCK, T. A. MANTEUFFEL, S. F. MCCORMICK, Q. NGUYEN, AND J. RUGE, Multilevel adaptive aggregation for Markov chains, with application to web ranking, SIAMJ. Sci. Comput., 30 (2008), pp. 2235-2262.
-
(2008)
SIAMJ. Sci. Comput.
, vol.30
, pp. 2235-2262
-
-
De Sterck, H.1
Manteuffel, T.A.2
McCormick, S.F.3
Nguyen, Q.4
Ruge, J.5
-
8
-
-
0000556573
-
Iterative methods for computing stationary distributions of nearly completely decomposable Markov chains
-
J. R. KOURY, D. F. MCALLISTER, AND W. J. STEWART, Iterative methods for computing stationary distributions of nearly completely decomposable Markov chains, SIAM J. Algebraic Discrete Methods, 5 (1984), pp. 164-186.
-
(1984)
SIAM J. Algebraic Discrete Methods
, vol.5
, pp. 164-186
-
-
Koury, J.R.1
McAllister, D.F.2
Stewart, W.J.3
-
9
-
-
38249039987
-
An iterative aggregation-disaggregation algorithm for solving linear equations
-
P. J. SCHWEITZER AND K. W. KINDLE, An iterative aggregation- disaggregation algorithm for solving linear equations, Appl. Math. Comput., 18 (1986), pp. 313-354.
-
(1986)
Appl. Math. Comput.
, vol.18
, pp. 313-354
-
-
Schweitzer, P.J.1
Kindle, K.W.2
-
10
-
-
0025593240
-
Modeling and analysis of communication systems based on computational methods for Markov chains
-
U. R. KRIEGER, B. MLLER-CLOSTERMANN, AND M. SCZITTNICK, Modeling and analysis of communication systems based on computational methods for Markov chains, IEEE J. Selected Areas Commun., 8 (1990), pp. 1630-1648.
-
(1990)
IEEE J. Selected Areas Commun.
, vol.8
, pp. 1630-1648
-
-
Krieger, U.R.1
Mller-Clostermann, B.2
Sczittnick, M.3
-
11
-
-
21844493797
-
On a two-level multigrid solution method for finite Markov chains
-
U. R. KRIEGER, On a two-level multigrid solution method for finite Markov chains, Linear Algebra Appl., 223/224 (1995), pp. 415-438.
-
(1995)
Linear Algebra Appl.
, vol.223
, Issue.224
, pp. 415-438
-
-
Krieger, U.R.1
-
12
-
-
0032344877
-
Convergence analysis of an iterative aggregation/disaggregation method for computing stationary probability vectors of stochastic matrices
-
I. MAREK AND P. MAYER, Convergence analysis of an iterative aggregation/disaggregation method for computing stationary probability vectors of stochastic matrices, Numer. Linear Algebra Appl., 5 (1998), pp. 253-274.
-
(1998)
Numer. Linear Algebra Appl.
, vol.5
, pp. 253-274
-
-
Marek, I.1
Mayer, P.2
-
13
-
-
0033709988
-
Comparison of partitioning techniques for two-level iterative solvers on large, sparse Markov chains
-
T. DAYAR AND W. J. STEWART, Comparison of partitioning techniques for two-level iterative solvers on large, sparse Markov chains, SIAM J. Sci. Comput., 21 (2000), pp. 1691-1705.
-
(2000)
SIAM J. Sci. Comput.
, vol.21
, pp. 1691-1705
-
-
Dayar, T.1
Stewart, W.J.2
-
14
-
-
76049124858
-
Convergence theory of some classes of iterative aggregation/ disaggregation methods for computing stationary pro bability vectors of stochastic matrices
-
I. MAREK AND P. MAYER, Convergence theory of some classes of iterative aggregation/ disaggregation methods for computing stationary pro bability vectors of stochastic matrices, Linear Algebra Appl., 363 (2003), pp. 177-200.
-
(2003)
Linear Algebra Appl.
, vol.363
, pp. 177-200
-
-
Marek, I.1
Mayer, P.2
-
15
-
-
0002438068
-
Algebraic multigrid (AMG) for sparse matrix equations
-
D. J. Evans, ed., Cambridge University Press, Cambridge, UK
-
A. BRANDT, S. F. MCCORMICK, AND J. W. RUGE, Algebraic multigrid (AMG) for sparse matrix equations, in Sparsity and Its Applications, D. J. Evans, ed., Cambridge University Press, Cambridge, UK, 1984.
-
(1984)
Sparsity and Its Applications
-
-
Brandt, A.1
McCormick, S.F.2
Ruge, J.W.3
-
16
-
-
0001885411
-
Algebraic multigrid
-
S. F. McCormick, ed., SIAM, Philadelphia
-
J. W. RUGE AND K. STÜBEN, Algebraic multigrid, in Multigrid Methods, Frontiers Appl. Math. 3, S. F. McCormick, ed., SIAM, Philadelphia, 1987, pp. 73-130.
-
(1987)
Multigrid Methods, Frontiers Appl. Math.
, vol.3
, pp. 73-130
-
-
Ruge, J.W.1
Stüben, K.2
-
17
-
-
21244472010
-
Adaptive smoothed aggregation (αSA) multigrid
-
M. BREZINA, R. FALGOUT, S. MACLACHLAN, T. MANTEUF FEL, S. MCCORMICK, AND J. RUGE, Adaptive smoothed aggregation (αSA) multigrid, SIAM Rev., 47 (2005), pp. 317-346.
-
(2005)
SIAM Rev.
, vol.47
, pp. 317-346
-
-
Brezina, M.1
Falgout, R.2
MacLachlan, S.3
Manteuf Fel, T.4
McCormick, S.5
Ruge, J.6
-
18
-
-
33645377668
-
Adaptive algebraic multigrid
-
M. BREZINA, R. FALGOUT, S. MACLACHLAN, T. MANTEUFFEL, S. MCCORMICK, AND J. RUGE, Adaptive algebraic multigrid, SIAM J. Sci. Comput., 27 (2006), pp. 1261-1286.
-
(2006)
SIAM J. Sci. Comput.
, vol.27
, pp. 1261-1286
-
-
Brezina, M.1
Falgout, R.2
MacLachlan, S.3
Manteuffel, T.4
McCormick, S.5
Ruge, J.6
-
19
-
-
51449105832
-
A generalized eigensolver based on smoothed aggregation (GES-SA) for initializing smoothed aggregation (SA) multigrid
-
M. BREZINA, T. MANTEUFFEL, S. MCCORMICK, J. RUGE, G. SANDERS, AND P. VASSILEVSKI, A generalized eigensolver based on smoothed aggregation (GES-SA) for initializing smoothed aggregation (SA) multigrid, Numer. Linear Algebra A ppl., 15 (2008), pp. 249-269.
-
(2008)
Numer. Linear Algebra A Ppl.
, vol.15
, pp. 249-269
-
-
Brezina, M.1
Manteuffel, T.2
McCormick, S.3
Ruge, J.4
Sanders, G.5
Vassilevski, P.6
-
20
-
-
0030388574
-
Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
-
P. VANEK, J. MANDEL, AND M. BREZINA, Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems, Computing , 56 (1996), pp. 179-196.
-
(1996)
Computing
, vol.56
, pp. 179-196
-
-
Vanek, P.1
Mandel, J.2
Brezina, M.3
-
21
-
-
0041034172
-
Convergence of algebraic multigrid based on smoothed aggregation
-
DOI 10.1007/s211-001-8015-y
-
P. VANEK, M. BREZINA, AND J. MANDEL, Convergence of algebraic multigrid based on smoothed aggregation, Numer. Math., 88 (2001), pp. 559-579. (Pubitemid 33573395)
-
(2001)
Numerische Mathematik
, vol.88
, Issue.3
, pp. 559-579
-
-
Vanek, P.1
Brezina, M.2
Mandel, J.3
-
22
-
-
52649158668
-
An algebraic multigrid preconditioner for a class of singular M-matrices
-
E. VIRNIK, An algebraic multigrid preconditioner for a class of singular M-matrices, SIAM J. Sci. Comput., 29 (2007), pp. 1982-1991.
-
(2007)
SIAM J. Sci. Comput.
, vol.29
, pp. 1982-1991
-
-
Virnik, E.1
-
23
-
-
80755154106
-
A multi-level method for the steady state solution of Markov chains
-
T. Schulze, S. Schlechtweg, and V. Hinz, eds., SCS Publishing House e.V., Erlangen, Germany
-
C. ISENSEE AND G. HORTON, A multi-level method for the steady state solution of Markov chains, Simulation und Visualisierung 2004, T. Schulze, S. Schlechtweg, and V. Hinz, eds., SCS Publishing House e.V., Erlangen, Germany, 2004 , pp. 191-202.
-
(2004)
Simulation und Visualisierung 2004
, pp. 191-202
-
-
Isensee, C.1
Horton, G.2
-
24
-
-
0003780986
-
-
Computer Science Department, Stanford University, Stanford, CA
-
L. PAGE, S. BRIN, R. MOTWANI, AND T. WINOGRAD, The PageRank Citation Ranking: Bringing Order to the Web, Technical Report 1999-0120, Computer Science Department, Stanford University, Stanford, CA, 1999.
-
(1999)
The PageRank Citation Ranking: Bringing Order to the Web, Technical Report 1999-0120
-
-
Page, L.1
Brin, S.2
Motwani, R.3
Winograd, T.4
-
26
-
-
0001633546
-
Aggregation of variables in dynamic systems
-
H. A. SIMON AND A. ANDO, Aggregation of variables in dynamic systems, Econometrica, 29 (1961), pp. 111-138.
-
(1961)
Econometrica
, vol.29
, pp. 111-138
-
-
Simon, H.A.1
Ando, A.2
-
27
-
-
0004185470
-
-
2nd ed., SIAM, Philadelphia
-
W. L. BRIGGS, V.E.HENSON, AND S. F. MCCORMICK, A Multigrid Tutorial, 2nd ed., SIAM, Philadelphia, 2000.
-
(2000)
A Multigrid Tutorial
-
-
Briggs, W.L.1
Henson, V.E.2
McCormick, S.F.3
-
28
-
-
55549139507
-
Analysis of aggregation-based multigrid
-
A. C. MURESAN AND Y. NOTAY, Analysis of aggregation-based multigrid, SIAMJ. Sci. Comput., 30 (2008), pp. 1082-1103.
-
(2008)
SIAMJ. Sci. Comput.
, vol.30
, pp. 1082-1103
-
-
Muresan, A.C.1
Notay, Y.2
-
29
-
-
58449091753
-
A new smoothed aggregation multigrid method for anisotropic problems
-
M. W. GEE, J. J. HU, AND R. S. TUMINARO, A new smoothed aggregation multigrid method for anisotropic problems, Numer. Linear Algebra App l., 16 (2009), pp. 19-37.
-
(2009)
Numer. Linear Algebra App L.
, vol.16
, pp. 19-37
-
-
Gee, M.W.1
Hu, J.J.2
Tuminaro, R.S.3
-
30
-
-
0006217743
-
Random walks on graphs: A survey, in Combinatorics
-
János Bolyai Mathematical Society, Budapest
-
L. LOVASZ, Random walks on graphs: A survey, in Combinatorics, Paul Erdó́s Is Eighty, Vol. 2, Bolyai Soc. Math. Stud. 2, János Bolyai Mathematical Society, Budapest, 1996, pp. 353-397.
-
(1996)
Paul Erdó́s Is Eighty, Vol. 2, Bolyai Soc. Math. Stud.
, vol.2
, pp. 353-397
-
-
Lovasz, L.1
-
31
-
-
0001927250
-
Algebraic multigrid theory: The symmetric case
-
A. BRANDT, Algebraic multigrid theory: The symmetric case, Appl. Math. Comput., 19 (1986), pp. 23-56.
-
(1986)
Appl. Math. Comput.
, vol.19
, pp. 23-56
-
-
Brandt, A.1
-
32
-
-
0033710185
-
Robustness and algorithmic scalability of algebraic multigrid
-
A. J. CLEARY, R. D. FALGOUT, V. E. HENSON, J. E. JONES, T. A. MANTEUFFEL, S. F. MCCORMICK, G. N. MIRANDA, AND J. W. RUGE, Robustness and algorithmic scalability of algebraic multigrid, SIAM J. Sci. Comput., 21 (2000), pp. 1886-1908.
-
(2000)
SIAM J. Sci. Comput.
, vol.21
, pp. 1886-1908
-
-
Cleary, A.J.1
Falgout, R.D.2
Henson, V.E.3
Jones, J.E.4
Manteuffel, T.A.5
McCormick, S.F.6
Miranda, G.N.7
Ruge, J.W.8
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