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Volumn 32, Issue 2, 2010, Pages 544-562

Algebraic multigrid for Markov Chains

Author keywords

Algebraic multigrid; Markov chain; Multilevel method; Stationary probability vector

Indexed keywords

ALGEBRA; CHAINS; LINEAR SYSTEMS; MARKOV PROCESSES;

EID: 77950791984     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/090753589     Document Type: Article
Times cited : (22)

References (27)
  • 3
    • 0002438068 scopus 로고
    • Algebraic multigrid (AMG) for sparse matrix equations
    • D. J. Evans, ed., Cambridge University Press, Cambridge
    • 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, 1984.
    • (1984) Sparsity and Its Applications
    • Brandt, A.1    McCormick, S.F.2    Ruge, J.W.3
  • 4
    • 4043106376 scopus 로고    scopus 로고
    • Multigrid solvers and multilevel optimization strategies
    • J. Cong and J. R. Shinnerl, eds., Kluwer, Boston
    • A. BRANDT AND D. RON, Multigrid solvers and multilevel optimization strategies, in Multilevel Optimization and VLSICAD, J. Cong and J. R. Shinnerl, eds., Kluwer, Boston, 2003, pp. 1-69.
    • (2003) Multilevel Optimization and VLSICAD , pp. 1-69
    • Brandt, A.1    Ron, D.2
  • 10
    • 55349090995 scopus 로고    scopus 로고
    • 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, SIAM J. Sci. Comput., 30 (2008), pp. 2235-2262.
    • (2008) SIAM J. 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
  • 11
    • 33645345839 scopus 로고    scopus 로고
    • Reducing complexity in parallel algebraic multigrid preconditioners
    • DOI 10.1137/040615729
    • H. DE STERCK, U. M. YANG, AND J. J. HEYS, Reducing complexity in parallel algebraic multi-grid preconditioners, SIAM J. Matrix Anal. Appl., 27 (2006), pp. 1019-1039. (Pubitemid 44599414)
    • (2006) SIAM Journal on Matrix Analysis and Applications , vol.27 , Issue.4 , pp. 1019-1039
    • De Sterck, H.1    Yang, U.M.2    Heys, J.J.3
  • 13
  • 14
    • 10044248632 scopus 로고    scopus 로고
    • An algebraic multigrid wave-ray algorithm to solve eigenvalue problems for the Helmholtz operator
    • DOI 10.1002/nla.379
    • I. LIVSHITS, An algebraic multigrid wave-ray algorithm to solve eigenvalue problems for the Helmholtz operator, Numer. Linear Algebra Appl., 11 (2004), pp. 229-239. (Pubitemid 39604611)
    • (2004) Numerical Linear Algebra with Applications , vol.11 , Issue.2-3 , pp. 229-239
    • Livshits, I.1
  • 15
    • 0020175425 scopus 로고
    • PERFORMANCE ANALYSIS USING STOCHASTIC PETRI NETS.
    • M. K. MOLLOY, Performance analysis using stochastic Petri nets, IEEE Trans. Comput., C-31 (1982), pp. 913-917. (Pubitemid 13504437)
    • (1982) IEEE Transactions on Computers , vol.C-31 , Issue.9 , pp. 913-917
    • Molly Michael, K.1
  • 17
    • 0008441139 scopus 로고
    • Numerical methods for Markov chain modeling
    • B. PHILIPPE, Y. SAAD, AND W. J. STEWART, Numerical methods for 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
  • 19
    • 0001885411 scopus 로고
    • Algebraic multigrid (AMG)
    • S. F. McCormick, ed., SIAM, Philadelphia
    • J. W. RUGE AND K. STUEBEN, Algebraic Multigrid (AMG), in Multigrid Methods Frontiers Appl. Math., S. F. McCormick, ed., SIAM, Philadelphia, 1987, pp. 73-130.
    • (1987) Multigrid Methods Frontiers Appl. Math. , pp. 73-130
    • Ruge, J.W.1    Stueben, K.2
  • 21
    • 0001633546 scopus 로고
    • 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
  • 23
    • 77950802135 scopus 로고    scopus 로고
    • W. J. STEWART, MARCA.Models, from http://www4.ncsu.edu/-billy/MARCA- Models/MARCA-Models.html.
    • MARCA-Models
    • Stewart, W.J.1
  • 25
    • 77949647625 scopus 로고    scopus 로고
    • Square and stretch multigrid for stochastic matrix eigenproblems
    • submitted
    • E. TREISTER AND I. YAVNEH, Square and stretch multigrid for stochastic matrix eigenproblems, Numer. Linear Algebra Appl., submitted.
    • Numer. Linear Algebra Appl.
    • Treister, E.1    Yavneh, I.2
  • 27
    • 52649158668 scopus 로고    scopus 로고
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.