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Volumn 3, Issue , 2006, Pages 1311-1319

Convex optimization of graph Laplacian eigenvalues

Author keywords

Convex optimization; Distributed averaging; Effective resistance; Graph theory; Laplacian matrix; Markov chain; Semidefinite programming

Indexed keywords

ALGEBRAIC CONNECTIVITY; DISTRIBUTED AVERAGING; EFFECTIVE RESISTANCES; LAPLACIAN MATRICES; MEAN SQUARE DEVIATION; SEMI-DEFINITE PROGRAMMING; SUFFICIENT OPTIMALITY CONDITIONS; TRANSITION PROBABILITIES;

EID: 84878059249     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (187)

References (15)
  • 1
    • 0003713964 scopus 로고    scopus 로고
    • Second edition, Athena Scientific, Belmont, MA
    • Bertsekas, D. P., Nonlinear Programming. Second edition, Athena Scientific, Belmont, MA, 1999.
    • (1999) Nonlinear Programming
    • Bertsekas, D.P.1
  • 3
    • 29844451677 scopus 로고    scopus 로고
    • Symmetry analysis of reversible Markov chains
    • Boyd, S., Diaconis, P., Parrilo, P., and Xiao, L., Symmetry analysis of reversible Markov chains. Internet Math. 2 (1) (2005), 31-71.
    • (2005) Internet Math. , vol.2 , Issue.1 , pp. 31-71
    • Boyd, S.1    Diaconis, P.2    Parrilo, P.3    Xiao, L.4
  • 4
    • 32844472875 scopus 로고    scopus 로고
    • Fastest mixing Markov chain on a path
    • Boyd, S., Diaconis, P., Sun, J., and Xiao, L., Fastest mixing Markov chain on a path. Amer. Math. Monthly 113 (1) (2006), 70-74.
    • (2006) Amer. Math. Monthly , vol.113 , Issue.1 , pp. 70-74
    • Boyd, S.1    Diaconis, P.2    Sun, J.3    Xiao, L.4
  • 5
    • 11344275321 scopus 로고    scopus 로고
    • Fastest mixing Markov chain on a graph
    • Boyd, S., Diaconis, P., and Xiao, L., Fastest mixing Markov chain on a graph. SIAM Review 46 (4) (2004), 667-689.
    • (2004) SIAM Review , vol.46 , Issue.4 , pp. 667-689
    • Boyd, S.1    Diaconis, P.2    Xiao, L.3
  • 7
    • 84948892773 scopus 로고
    • Absolute algebraic connectivity of trees
    • Fiedler, M., Absolute algebraic connectivity of trees. Linear and Multilinear Algebra 26 (1990), 85-106.
    • (1990) Linear and Multilinear Algebra , vol.26 , pp. 85-106
    • Fiedler, M.1
  • 8
    • 84878042775 scopus 로고    scopus 로고
    • Minimizing effective resistance of a graph
    • to appear;
    • Ghosh, A., and Boyd, S., Minimizing effective resistance of a graph. SIAM Review, to appear; www.stanford.edu/~boyd/eff-res.
    • SIAM Review
    • Ghosh, A.1    Boyd, S.2
  • 9
    • 84878074355 scopus 로고    scopus 로고
    • Upper bounds on algebraic connectivity via convex optimization
    • to appear
    • Ghosh, A., and Boyd, S., Upper bounds on algebraic connectivity via convex optimization. Linear Algebra Appl., to appear; www.stanford.edu/~boyd/ eigbounds-laplacian.
    • Linear Algebra Appl.
    • Ghosh, A.1    Boyd, S.2
  • 10
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • Rockafellar, R. T., Convex Analysis. Princeton University Press, Princeton, NJ, 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 11
    • 33746329499 scopus 로고    scopus 로고
    • The fastest mixing Markov process on a graph and a connection to amaximum variance unfolding problem
    • to appear
    • Sun, J., Boyd, S., Xiao, L., and Diaconis, P., The fastest mixing Markov process on a graph and a connection to amaximum variance unfolding problem. SIAM Review, to appear 2006; www/~boyd/fmmp.
    • (2006) SIAM Review
    • Sun, J.1    Boyd, S.2    Xiao, L.3    Diaconis, P.4
  • 13
    • 3142770678 scopus 로고    scopus 로고
    • Fast linear iterations for distributed averaging
    • Xiao, L., and Boyd, S., Fast linear iterations for distributed averaging. Systems Control Lett. 53 (2004), 65-78.
    • (2004) Systems Control Lett. , vol.53 , pp. 65-78
    • Xiao, L.1    Boyd, S.2
  • 14
    • 33747317125 scopus 로고    scopus 로고
    • Optimal scaling of a gradient method for distributed resource allocation
    • to appear
    • Xiao, L., and Boyd, S., Optimal scaling of a gradient method for distributed resource allocation. J. Optim. Theory Appl. 129 (3) (2006), to appear.
    • (2006) J. Optim. Theory Appl. , vol.129 , Issue.3
    • Xiao, L.1    Boyd, S.2
  • 15
    • 38549085322 scopus 로고    scopus 로고
    • Distributed average consensus with least-mean-square deviation
    • summitted May
    • Xiao, L., Boyd, S., and Kim, S.-J., Distributed average consensus with least-mean-square deviation. Journal of Parallel and Distributed Computing, summitted May 2005; www/~boyd/lms-consensus.
    • (2005) Journal of Parallel and Distributed Computing
    • Xiao, L.1    Boyd, S.2    Kim, S.-J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.