Scientific Research An Academic Publisher
OPEN ACCESS
Add your e-mail address to receive free newsletters from SCIRP.
Select Journal AA AAD AAR AASoci AAST ABB ABC ABCR ACES ACS ACT AD ADR AE AER AHS AID AiM AIT AJAC AJC AJCC AJCM AJIBM AJMB AJOR AJPS ALAMT ALC ALS AM AMI AMPC ANP APD APE APM ARS ARSci AS ASM BLR CC CE CellBio ChnStd CM CMB CN CRCM CS CSTA CUS CWEEE Detection EMAE ENG EPE ETSN FMAR FNS GEP GIS GM Graphene GSC Health IB ICA IIM IJAA IJAMSC IJCCE IJCM IJCNS IJG IJIDS IJIS IJMNTA IJMPCERO IJNM IJOC IJOHNS InfraMatics JACEN JAMP JASMI JBBS JBCPR JBiSE JBM JBNB JBPC JCC JCDSA JCPT JCT JDAIP JDM JEAS JECTC JEMAA JEP JFCMV JFRM JGIS JHEPGC JHRSS JIBTVA JILSA JIS JMF JMGBND JMMCE JMP JPEE JQIS JSBS JSEA JSEMAT JSIP JSS JSSM JST JTR JTST JTTs JWARP LCE MC ME MI MME MNSMS MPS MR MRC MRI MSA MSCE NJGC NM NR NS OALib OALibJ ODEM OJA OJAB OJAcct OJAnes OJAP OJApo OJAppS OJAPr OJAS OJBD OJBIPHY OJBM OJC OJCB OJCD OJCE OJCM OJD OJDer OJDM OJE OJEE OJEM OJEMD OJEpi OJER OJF OJFD OJG OJGas OJGen OJI OJIC OJIM OJINM OJL OJM OJMC OJMetal OJMH OJMI OJMIP OJML OJMM OJMN OJMP OJMS OJMSi OJN OJNeph OJO OJOG OJOGas OJOp OJOph OJOPM OJOTS OJPathology OJPC OJPChem OJPed OJPM OJPP OJPS OJPsych OJRA OJRad OJRD OJRM OJS OJSS OJSST OJST OJSTA OJTR OJTS OJU OJVM OPJ POS PP PST PSYCH SAR SCD SGRE SM SN SNL Soft SS TEL TI UOAJ VP WET WJA WJCD WJCMP WJCS WJET WJM WJNS WJNSE WJNST WJV WSN YM
More>>
Hestenes, M.R. and Stiefel, E. (1952) Method of conjugate gradient for solving linear equations. Journal of Research National Bureau of Standards, 49, 409-436.
has been cited by the following article:
TITLE: A hybrid conjugate gradient method for optimization problems
AUTHORS: Xiangrong Li, Xupei Zhao
KEYWORDS: Line Search; Unconstrained Optimization; Conjugate Gradient Method; Global Convergence
JOURNAL NAME: Natural Science, Vol.3 No.1, January 29, 2011
ABSTRACT: A hybrid method of the Polak-Ribière-Polyak (PRP) method and the Wei-Yao-Liu (WYL) method is proposed for unconstrained optimization pro- blems, which possesses the following properties: i) This method inherits an important property of the well known PRP method: the tendency to turn towards the steepest descent direction if a small step is generated away from the solution, preventing a sequence of tiny steps from happening; ii) The scalar holds automatically; iii) The global convergence with some line search rule is established for nonconvex functions. Numerical results show that the method is effective for the test problems.
Related Articles:
On the Behavior of the Residual in Conjugate Gradient Method
Teruyoshi Washizawa
DOI: 10.4236/am.2010.13025 4,513 Downloads 9,281 Views Citations
Pub. Date: September 29, 2010
The Continuous Analogy of Newton’s Method for Solving a System of Linear Algebraic Equations
Tugal Zhanlav, Ochbadrakh Chuluunbaatar, Gantumur Ankhbayar
DOI: 10.4236/am.2013.41A032 2,933 Downloads 5,079 Views Citations
Pub. Date: January 30, 2013
Programming First Integral Method General Formula for the Solving Linear and Nonlinear Equations
Mohamed A. Abdoon
DOI: 10.4236/am.2015.63051 6,101 Downloads 6,861 Views Citations
Pub. Date: March 17, 2015
A hybrid conjugate gradient method for optimization problems
Xiangrong Li, Xupei Zhao
DOI: 10.4236/ns.2011.31012 5,389 Downloads 12,681 Views Citations
Pub. Date: January 29, 2011
Comparison of Classical Method, Extension Principle and α-Cuts and Interval Arithmetic Method in Solving System of Fuzzy Linear Equations
Sahidul Islam, Md. Saiduzzaman, Md. Shafiqul Islam, Abeda Sultana
DOI: 10.4236/ajcm.2019.91001 580 Downloads 871 Views Citations
Pub. Date: February 15, 2019
