Two Conclusions of Points Produced by Incremental Sub-Gradient Method for the Non-Differentiable Optimal Problem in Hilbert Space

Li Ping Ge; Wen Song

doi:10.4028/www.scientific.net/AMR.998-999.1004

Paper Titles

On Subdividing of Hölder’s Inequality for Sums
p.988

Research on the Forward Euler Difference Method for Parabolic Equations
p.992

The Local Fractional Hilbert Transform Based on Fractal Theory
p.996

The Solution of 2D Parabolic Equations Based on the Alternating Direction Implicit Scheme
p.1000

Two Conclusions of Points Produced by Incremental Sub-Gradient Method for the Non-Differentiable Optimal Problem in Hilbert Space
p.1004

An Application of Computer Image Processing Technique to Decoration Pattern Design
p.1009

Commonly Used Correction Model Comparison, Improvement and Precision Analysis of Radiation Remote Sensing Image
p.1013

Efficient Multi-Scale Registration of 3D Reconstructions Based on Camera Center Constraint
p.1018

Identifying Abbreviations in Biomedical Literature Based on Maximum Entropy with Web Features
p.1024

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 998-999Two Conclusions of Points Produced by Incremental...

Two Conclusions of Points Produced by Incremental Sub-Gradient Method for the Non-Differentiable Optimal Problem in Hilbert Space

Abstract:

The paper mainly research incremental sub-gradient method for the non-differentiable optimal problem in Hilbert space. And prove two conclusions about the sequence generated by this method.

You might also be interested in these eBooks

Advances in Applied Sciences, Engineering and Technology II

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 998-999)

Pages:

1004-1008

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.998-999.1004

Citation:

Cite this paper

Online since:

July 2014

Authors:

Li Ping Ge*, Wen Song

Keywords:

Hilbert Space, Incremental Sub-Gradient Method, Non-Differentiable Optimal Problem

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] D. P. Bertsekas: SIAM J. Optim. Vol. 7(1997), pp.913-926.

Google Scholar

[2] Z. Q, Luo: Neural Computation, Vol. 3(1991), pp.226-245.

Google Scholar

[3] M.V. Solodow: Comput. Opt. Appl, Vol. 11(1998), pp.28-35.

Google Scholar

[4] V. M. Kibardin: Automt. Remote Control, Vol. 40(1980), pp.1311-1323.

Google Scholar

[5] A. Ben-Tal, T. Margalit and A. Nemirovski: SIAM J. Optim. Vol. 12(2001), p.79–108.

Google Scholar

[6] A. Nedi\'{c} and D. P. Bertsekas: Convergence rate of incremental subgradient algorithms, Stochastic Optimization, Algorithms and Applications, Kluwer Academic Publishers, (2000).

DOI: 10.1007/978-1-4757-6594-6_11

Google Scholar

[7] A. Nedi\'{c}, D. P. Bertsekas and V. S. Borkar, Distributed asynchronous incremental subgradient methods, Inherently Parallel Algorithms in Feasibilityand Optimization and Their Applications (D. Butnariu, Y. Censor, and S. Reich, eds. ), Studies Comput. Math., Elsevier, (2001).

DOI: 10.1016/s1570-579x(01)80023-9

Google Scholar

[8] C.A. Kaskavelis and M.C. Caramanis: IIE Transactions on Scheduling and Logistics, Vol. 30(1998), pp.1085-1097.

DOI: 10.1023/a:1007515931780

Google Scholar

[9] K.C. Kiviel: SIAMJ. Optim. Vol. 14(2004), pp.807-840.

Google Scholar

[10] Ya. I. Alber,A. N. Iusem and M. V. Solodov: Math. Programming, Vol. 81(1998), pp.23-35.

Google Scholar

[11] Paul-Emile Maing\'{e}: Set-Valued Anal, Vol. 16(2008), pp.899-912.

Google Scholar

[12] P. Zhang and W. Song: Journal of mathematics , Vol3(2009).

Google Scholar

[13] L. P. Ge and W. Song: 2014 International Conference on Materials Science and Computational Engineering, May, Qingdao, 926-930(2014)m. pp.3713-3716.

Google Scholar