메뉴 건너뛰기




Volumn , Issue , 2013, Pages 147-156

Efficient accelerated coordinate descent methods and faster algorithms for solving linear systems

Author keywords

Convex optimization; Coordinate descent; Kaczmarz method; Symmetric diagonally dominant matrix

Indexed keywords

ASYMPTOTICALLY OPTIMAL; COORDINATE DESCENT; COORDINATE DESCENT METHODS; DIAGONALLY DOMINANT MATRIX; KACZMARZ METHOD; LINEAR SYSTEM SOLVER; OVERDETERMINED SYSTEMS; SYMMETRIC POSITIVE DEFINITE;

EID: 84893479942     PISSN: 02725428     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FOCS.2013.24     Document Type: Conference Paper
Times cited : (217)

References (28)
  • 1
    • 0001554939 scopus 로고
    • Angenäherte auflösung von systemen linearer gleichungen
    • S. Kaczmarz, "Angenäherte auflösung von systemen linearer gleichungen, " Bull. Internat. Acad. Polon.Sci. Lettres A, p. 335-57, 1937.
    • (1937) Bull. Internat. Acad. Polon.Sci. Lettres A , pp. 335-357
    • Kaczmarz, S.1
  • 3
    • 0030246542 scopus 로고    scopus 로고
    • On projection algorithms for solving convex feasibility problems
    • Sep
    • H. H. Bauschke and J. M. Borwein, "On projection algorithms for solving convex feasibility problems, " SIAM Rev., vol. 38, no. 3, pp. 367-426, Sep. 1996.
    • (1996) SIAM Rev , vol.38 , Issue.3 , pp. 367-426
    • Bauschke, H.H.1    Borwein, J.M.2
  • 4
    • 0004230519 scopus 로고    scopus 로고
    • Philadelphia, PA, USA: Society for Industrial and Applied Mathematics
    • F. Natterer, The mathematics of computerized tomography. Philadelphia, PA, USA: Society for Industrial and Applied Mathematics, 2001.
    • (2001) The Mathematics of Computerized Tomography
    • Natterer, F.1
  • 6
    • 67349206945 scopus 로고    scopus 로고
    • A randomized kaczmarz algorithm with exponential convergence
    • Apr
    • T. Strohmer and R. Vershynin, "A Randomized Kaczmarz Algorithm with Exponential Convergence, " Journal of Fourier Analysis and Applications, vol. 15, no. 2, pp. 262-278, Apr. 2008.
    • (2008) Journal of Fourier Analysis and Applications , vol.15 , Issue.2 , pp. 262-278
    • Strohmer, T.1    Vershynin, R.2
  • 7
    • 84865692149 scopus 로고    scopus 로고
    • Efficiency of coordinate descent methods on huge-scale optimization problems
    • Y. Nesterov, "Efficiency of coordinate descent methods on huge-scale optimization problems, " SIAM Journal on Optimization, vol. 22, no. 2, pp. 341-362, 2012.
    • (2012) SIAM Journal on Optimization , vol.22 , Issue.2 , pp. 341-362
    • Nesterov, Y.1
  • 13
  • 14
    • 34548480020 scopus 로고
    • A method for solving a convex programming problem with convergence rate 1/k̂2
    • Y. Nesterov, "A method for solving a convex programming problem with convergence rate 1/k̂2, " Doklady AN SSSR, vol. 269, pp. 543-547, 1983.
    • (1983) Doklady AN SSSR , vol.269 , pp. 543-547
    • Nesterov, Y.1
  • 15
    • 85014561619 scopus 로고    scopus 로고
    • A fast iterative shrinkage- Thresholding algorithm for linear inverse problems
    • Jan
    • A. Beck and M. Teboulle, "A Fast Iterative Shrinkage- Thresholding Algorithm for Linear Inverse Problems, " SIAM Journal on Imaging Sciences, vol. 2, no. 1, pp. 183-202, Jan. 2009.
    • (2009) SIAM Journal on Imaging Sciences , vol.2 , Issue.1 , pp. 183-202
    • Beck, A.1    Teboulle, M.2
  • 16
    • 79551550744 scopus 로고    scopus 로고
    • NESTA: A fast and accurate first-order method for sparse recovery
    • S. Becker, J. Bobin, and E. Candès, "NESTA: A fast and accurate first-order method for sparse recovery, " SIAM Journal on Imaging Sciences, vol. 4, no. 1, pp. 1-39, 2011.
    • (2011) SIAM Journal on Imaging Sciences , vol.4 , Issue.1 , pp. 1-39
    • Becker, S.1    Bobin, J.2    Candès, E.3
  • 18
    • 37549070373 scopus 로고    scopus 로고
    • Rounding of convex sets and efficient gradient methods for linear programming problems
    • Feb
    • Y. Nesterov, "Rounding of convex sets and efficient gradient methods for linear programming problems, " Optimization Methods Software, vol. 23, no. 1, pp. 109-128, Feb. 2008.
    • (2008) Optimization Methods Software , vol.23 , Issue.1 , pp. 109-128
    • Nesterov, Y.1
  • 20
    • 0026678659 scopus 로고
    • On the convergence of the coordinate descent method for convex differentiable minimization
    • Jan
    • Z. Q. Luo and P. Tseng, "On the convergence of the coordinate descent method for convex differentiable minimization, " Journal of Optimization Theory and Applications, vol. 72, no. 1, pp. 7-35, Jan. 1992.
    • (1992) Journal of Optimization Theory and Applications , vol.72 , Issue.1 , pp. 7-35
    • Luo, Z.Q.1    Tseng, P.2
  • 24
    • 84863329239 scopus 로고    scopus 로고
    • A nearly-m log n time solver for sdd linear systems
    • 2011 IEEE 52nd Annual Symposium on, oct
    • I. Koutis, G. L. Miller, and R. Peng, "A nearly-m log n time solver for sdd linear systems, " in Foundations of Computer Science (FOCS), 2011 IEEE 52nd Annual Symposium on, oct. 2011, pp. 590 -598.
    • (2011) Foundations of Computer Science (FOCS) , pp. 590-598
    • Koutis, I.1    Miller, G.L.2    Peng, R.3
  • 25
    • 84885351314 scopus 로고    scopus 로고
    • Fast alternating direction optimization methods
    • T. Goldstein, B. ODonoghue, and S. Setzer, "Fast alternating direction optimization methods, " CAM report, pp. 12-35, 2012.
    • (2012) CAM Report , pp. 12-35
    • Goldstein, T.1    Odonoghue, B.2    Setzer, S.3
  • 28


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.