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Volumn 409, Issue 1-3 SPEC. ISS., 2005, Pages 32-50

Proximity in group inverses of M-matrices and inverses of diagonally dominant M-matrices

Author keywords

Group inverses; M matrices; Markov chains; Mean first passage times; Nonnegative matrices

Indexed keywords

GRAPH THEORY; LAPLACE TRANSFORMS; MARKOV PROCESSES;

EID: 24944552356     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2004.11.031     Document Type: Article
Times cited : (8)

References (22)
  • 4
    • 0346064883 scopus 로고
    • Schur complements of diagonally dominant matrices
    • D. Carlson, and T. Markham Schur complements of diagonally dominant matrices Czech. Math. J. 29 104 1979 246 251
    • (1979) Czech. Math. J. , vol.29 , Issue.104 , pp. 246-251
    • Carlson, D.1    Markham, T.2
  • 6
    • 0034375401 scopus 로고    scopus 로고
    • Markov chain sensitivity measured by mean first passage times
    • G.E. Cho, and C.D. Meyer Markov chain sensitivity measured by mean first passage times Linear Algebra Appl. 316 2000 21 28
    • (2000) Linear Algebra Appl. , vol.316 , pp. 21-28
    • Cho, G.E.1    Meyer, C.D.2
  • 7
    • 84972029500 scopus 로고
    • Random evolutions and the spectral radius of a non-negative matrix
    • J.E. Cohen Random evolutions and the spectral radius of a non-negative matrix Math. Proc. Cambridge Philos. Soc. 86 1979 343 350
    • (1979) Math. Proc. Cambridge Philos. Soc. , vol.86 , pp. 343-350
    • Cohen, J.E.1
  • 8
    • 0013089991 scopus 로고
    • Derivatives of the Perron root at an essentially nonnegative matrix and the group inverse of an M-matrix
    • E. Deutsch, and M. Neumann Derivatives of the Perron root at an essentially nonnegative matrix and the group inverse of an M-matrix J. Math. Anal. Appl. 102 1984 1 29
    • (1984) J. Math. Anal. Appl. , vol.102 , pp. 1-29
    • Deutsch, E.1    Neumann, M.2
  • 9
    • 0347319267 scopus 로고
    • On the first and second order derivatives of the Perron vector
    • E. Deutsch, and M. Neumann On the first and second order derivatives of the Perron vector Linear Algebra Appl. 71 1985 57 76
    • (1985) Linear Algebra Appl. , vol.71 , pp. 57-76
    • Deutsch, E.1    Neumann, M.2
  • 10
    • 2942511836 scopus 로고
    • Perturbations of matrices: A theorem on the Perron vector and its applications to input-output models
    • E. Dietzenbacher Perturbations of matrices: a theorem on the Perron vector and its applications to input-output models J. Econ. 48 1988 389 412
    • (1988) J. Econ. , vol.48 , pp. 389-412
    • Dietzenbacher, E.1
  • 12
    • 0001350119 scopus 로고
    • Algebraic connectivity of graphs
    • M. Fiedler Algebraic connectivity of graphs Czech. Math. J. 23 1973 298 305
    • (1973) Czech. Math. J. , vol.23 , pp. 298-305
    • Fiedler, M.1
  • 14
    • 24944442961 scopus 로고    scopus 로고
    • Stationary distribution and mean first passage times of perturbed Markov chains
    • J.J. Hunter Stationary distribution and mean first passage times of perturbed Markov chains Res. Lett. Inf. Math. Sci. 3 2002 85 98
    • (2002) Res. Lett. Inf. Math. Sci. , vol.3 , pp. 85-98
    • Hunter, J.J.1
  • 16
    • 0036799452 scopus 로고    scopus 로고
    • Kemeny's constant and the random surfer
    • M. Levene, and G. Loizou Kemeny's constant and the random surfer Amer. Math. Monthly 109 2002 741 745
    • (2002) Amer. Math. Monthly , vol.109 , pp. 741-745
    • Levene, M.1    Loizou, G.2
  • 17
    • 33750999449 scopus 로고
    • Laplacian matrices and graphs: A survey
    • R. Merris Laplacian matrices and graphs: a survey Linear Algebra Appl. 197 & 198 1994 143 176
    • (1994) Linear Algebra Appl. , vol.197-198 , pp. 143-176
    • Merris, R.1
  • 18
    • 0242380055 scopus 로고
    • A multiple-county theory of income transfer
    • L. Metzler A multiple-county theory of income transfer J. Political Econ. 59 1951 14 29
    • (1951) J. Political Econ. , vol.59 , pp. 14-29
    • Metzler, L.1
  • 19
    • 0016534380 scopus 로고
    • The role of the group generalized inverse in the theory of finite Markov chains
    • C.D. Meyer The role of the group generalized inverse in the theory of finite Markov chains SIAM Rev. 17 1975 443 464
    • (1975) SIAM Rev. , vol.17 , pp. 443-464
    • Meyer, C.D.1
  • 20
    • 0242319484 scopus 로고    scopus 로고
    • On the stability of the computation of the stationary probabilities of Markov chains using Perron complements
    • M. Neumann, and J. Xu On the stability of the computation of the stationary probabilities of Markov chains using Perron complements Numer. Linear Algebra Appl. 10 2003 603 618
    • (2003) Numer. Linear Algebra Appl. , vol.10 , pp. 603-618
    • Neumann, M.1    Xu, J.2
  • 21
    • 0040897144 scopus 로고
    • On the LU factorization of M-matrices
    • R. Varga, and D. Cai On the LU factorization of M-matrices Numer. Math. 38 1981 179 192
    • (1981) Numer. Math. , vol.38 , pp. 179-192
    • Varga, R.1    Cai, D.2
  • 22
    • 0034357820 scopus 로고    scopus 로고
    • Proof of a conjecture of Fiedler and Markham
    • X. Yong Proof of a conjecture of Fiedler and Markham Linear Algebra Appl. 320 2000 167 171
    • (2000) Linear Algebra Appl. , vol.320 , pp. 167-171
    • Yong, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.