A Modified Spectral Conjugate Gradient Methods with the New Line Search Condition

Ming Juan Ma; Yun Su; Hong Tu Hua; Yu Zhang

doi:10.4028/www.scientific.net/AMM.166-169.3079

Paper Titles

Analysis of Sliding Cable Element
p.3060

Analysis of Stress Distribution of Externally Pre-Stressed Beams under Transverse Loads
p.3065

The Water Depth Effect on Ship Pressure Distribution and Surface Wave
p.3071

New Exact Solutions to Variable Coefficient KP Equation
p.3075

A Modified Spectral Conjugate Gradient Methods with the New Line Search Condition
p.3079

The Study on J-Integral of Composite Laminated Plate Crack Propagation Problem
p.3083

Mechanical Property Analysis on Joints of Steel Secondary Beam Inserted in Reinforced Concrete Frame Girder
p.3087

Analysis of Small Non-Sand Concrete Pile Grouting Pressure Based on Unified Strength Theory
p.3095

Calculation of Different Stages Reinforced Concrete Beam Bending Stiffness
p.3100

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 166-169A Modified Spectral Conjugate Gradient Methods...

A Modified Spectral Conjugate Gradient Methods with the New Line Search Condition

Abstract:

In this Paper, Combining the Nonmonotone and Monotone Line Search ,a Spectral Conjugate Gradient Methods Are Used in this Paper. by the Concept of Spectral, we Construct a Class of Spectral Conjugate Gradient with Different form . we Also Give the Algorithm for Conjugate Gradient Method. the Numerical Result Show the Efficiency of the Method.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 166-169)

Pages:

3079-3082

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.166-169.3079

Citation:

Cite this paper

Online since:

May 2012

Authors:

Ming Juan Ma, Yun Su, Hong Tu Hua, Yu Zhang

Keywords:

Conjugate, Line Search, Spectral-Gradient, Unconstraint Optimization

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] Fletcher, Reeves,C.M, Function Minimization by Conjugate gradients, Computer Journal, Vol7, 1964, 149-154,.

Google Scholar

[2] R.Fletcher, Practical Methods of Optimization, Vol I, Unconstrained Optimization , 2nd edition, Wiley, New YorK,1987.

Google Scholar

[3] Y.H. Dai, Y.Yuan, A nonlinear conjugate gradient methods with a strong global convergence property, SIAM J.Optim.10(1999),177-182.

DOI: 10.1137/s1052623497318992

Google Scholar

[4] M.R,Hestenes,E.Stiefel, Methods of conjugate gradient for solving linear equation, J.Res.Nat.Bur.Standards 49 (1952),409-436.

DOI: 10.6028/jres.049.044

Google Scholar

[5] B.T. Polyak, The conjugate gradient methods in extreme problem, U.S.S.R. Comput. Math. And .Math. Phys.9(1969), 94-112.

Google Scholar

[6] Y.Dai L.Z. Liao,New conjugacy condition and related nolinear conjugate gradient methods , Appl.Math.Optim.43(2001),87-101.

Google Scholar

[7] Y.H. Dai,Y.Yuan, Nonlinear Conjugate gradient Methods, 2000.

Google Scholar

[8] G.H. Liu L.L. Jing ,A class of Nonmonotone Conjugate gradient Methods for unconstrained Optimization,JOTA Vol.101(1999) ,No.1. 127-140.

DOI: 10.1023/a:1021723128049

Google Scholar

[9] P.ARMAND, Modification of the Wolfe Line search Rules to Satisfy the Descent Condition in the PRP Conjugate Gradient Method, JOTA Vol.132(2007),No.2.pp.287-305.

DOI: 10.1007/s10957-006-9123-7

Google Scholar

[10] Grippo L, Lucidi S.A globally eonvergent version of the Polak-Ribieve Conjugate Gradient Methods. MathematicalProgramming，1997，78:375一391.

DOI: 10.1007/bf02614362

Google Scholar

[11] Y.Dai, Conjugate Gradient Methods with Armijo-type Line , Acta Mathematicae Applicatae sinica,English Series，18(l),2002,123-130.

DOI: 10.1007/s102550200010

Google Scholar

[12] S.J.L.,An convergent research of Conjugate gradient Methods 2004.A doctor paper .(In chinese).

Google Scholar

[13] Birgin EG,Martineijm and Raydanm, Nonmonotone Spectral Projected Gradient methods on convex sets, SIAM Journal on optimization, 10:1,2000, 196-1211.

DOI: 10.1137/s1052623497330963

Google Scholar