메뉴 건너뛰기




Volumn 2015-February, Issue February, 2014, Pages 5033-5039

Diagonal scaling in Douglas-Rachford splitting and ADMM

Author keywords

[No Author keywords available]

Indexed keywords

ALTERNATING DIRECTION METHOD OF MULTIPLIER (ADMM); DIAGONAL SCALING; DOUGLAS-RACHFORD SPLITTING; DUAL PROBLEM; LINEAR CONVERGENCE; LINEAR RATE OF CONVERGENCES; PRECONDITIONING METHOD; PROBLEM DATUM;

EID: 84988273334     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2014.7040175     Document Type: Conference Paper
Times cited : (78)

References (26)
  • 3
    • 85014561619 scopus 로고    scopus 로고
    • A fast iterative shrinkage-thresholding algorithm for linear inverse problems
    • A. Beck and M. Teboulle. A fast iterative shrinkage-thresholding algorithm for linear inverse problems. SIAM J. Imaging Sciences, 2(1):183-202, 2009.
    • (2009) SIAM J. Imaging Sciences , vol.2 , Issue.1 , pp. 183-202
    • Beck, A.1    Teboulle, M.2
  • 4
    • 0031101558 scopus 로고    scopus 로고
    • Nonlinear control of constrained linear systems via predictive reference management
    • A. Bemporad, A. Casavola, and E. Mosca. Nonlinear control of constrained linear systems via predictive reference management. IEEE Transactions on Automatic Control, 42(3):340-349, 1997.
    • (1997) IEEE Transactions on Automatic Control , vol.42 , Issue.3 , pp. 340-349
    • Bemporad, A.1    Casavola, A.2    Mosca, E.3
  • 5
    • 80051762104 scopus 로고    scopus 로고
    • Distributed optimization and statistical learning via the alternating direction method of multipliers
    • S. Boyd, N. Parikh, E. Chu, B. Peleato, and J. Eckstein. Distributed optimization and statistical learning via the alternating direction method of multipliers. Foundations and Trends in Machine Learning, 3(1):1-122, 2011.
    • (2011) Foundations and Trends in Machine Learning , vol.3 , Issue.1 , pp. 1-122
    • Boyd, S.1    Parikh, N.2    Chu, E.3    Peleato, B.4    Eckstein, J.5
  • 6
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
    • Feb
    • E. J. Candes, J. Romberg, and T. Tao. Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Transactions on Information Theory, 52(2):489-509, Feb 2006.
    • (2006) IEEE Transactions on Information Theory , vol.52 , Issue.2 , pp. 489-509
    • Candes, E.J.1    Romberg, J.2    Tao, T.3
  • 7
    • 79953201848 scopus 로고    scopus 로고
    • A first-order primal-dual algorithm for convex problems withapplications to imaging
    • A. Chambolle and T. Pock. A first-order primal-dual algorithm for convex problems withapplications to imaging. Journal of Mathematical Imaging and Vision, 40(1):120-145, 2011.
    • (2011) Journal of Mathematical Imaging and Vision , vol.40 , Issue.1 , pp. 120-145
    • Chambolle, A.1    Pock, T.2
  • 10
    • 84967782959 scopus 로고
    • On the numerical solution of heat conduction problems in two and three space variables
    • J. Douglas and H. H. Rachford. On the numerical solution of heat conduction problems in two and three space variables. Trans. Amer. Math. Soc., 82:421-439, 1956.
    • (1956) Trans. Amer. Math. Soc. , vol.82 , pp. 421-439
    • Douglas, J.1    Rachford, H.H.2
  • 12
    • 77957064934 scopus 로고
    • Applications of the method of multipliers to variational inequalities
    • M. Fortin and R. Glowinski, editors North-Holland: Amsterdam
    • D. Gabay. Applications of the method of multipliers to variational inequalities. In M. Fortin and R. Glowinski, editors, Augmented Lagrangian Methods: Applications to the Solution of Boundary-Value Problems. North-Holland: Amsterdam, 1983.
    • (1983) Augmented Lagrangian Methods: Applications to the Solution of Boundary-Value Problems
    • Gabay, D.1
  • 13
    • 0002211517 scopus 로고
    • A dual algorithm for the solution of nonlinear variational problems via finite element approximation
    • D. Gabay and B. Mercier. A dual algorithm for the solution of nonlinear variational problems via finite element approximation. Computers and Mathematics with Applications, 2(1):17-40, 1976.
    • (1976) Computers and Mathematics with Applications , vol.2 , Issue.1 , pp. 17-40
    • Gabay, D.1    Mercier, B.2
  • 15
    • 84988284388 scopus 로고    scopus 로고
    • Metric selection in fast dual forward backward splitting
    • Submitted
    • P. Giselsson and S. Boyd. Metric selection in fast dual forward backward splitting. Automatica, 2014. Submitted.
    • (2014) Automatica
    • Giselsson, P.1    Boyd, S.2
  • 19
    • 0000345334 scopus 로고
    • Splitting algorithms for the sum of two nonlinear operators
    • P. L. Lions and B. Mercier. Splitting algorithms for the sum of two nonlinear operators. SIAM Journal on Numerical Analysis, 16(6):964-979, 1979.
    • (1979) SIAM Journal on Numerical Analysis , vol.16 , Issue.6 , pp. 964-979
    • Lions, P.L.1    Mercier, B.2
  • 25
    • 0004267646 scopus 로고
    • Princeton Univercity Press, Princeton, NJ
    • R. T. Rockafellar. Convex Analysis, volume 28. Princeton Univercity Press, Princeton, NJ, 1970.
    • (1970) Convex Analysis , vol.28
    • Rockafellar, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.