Grid search as applied to the determination of Mark-Houwink parameters

Citation
Dy. Chen et al., Grid search as applied to the determination of Mark-Houwink parameters, J APPL POLY, 76(4), 2000, pp. 481-487
Citations number
15
Categorie Soggetti
Organic Chemistry/Polymer Science","Material Science & Engineering
Journal title
JOURNAL OF APPLIED POLYMER SCIENCE
ISSN journal
00218995 → ACNP
Volume
76
Issue
4
Year of publication
2000
Pages
481 - 487
Database
ISI
SICI code
0021-8995(20000425)76:4<481:GSAATT>2.0.ZU;2-I
Abstract
This article demonstrates the applicability of the algorithm of grid search to the determination of Mark-Houwink (MH) parameters. In the existing meth ods, the determination of MH parameters involves the use of linear or nonli near regression. In the cases of using the algorithm of grid search to solv e the linear regression problem for the determination of MH parameters, the values of the MH parameters obtained by the grid search method are the sam e as those obtained by the linear regression method, while in the cases whe n some nonlinear regression methods have to be used in the existing methods , using the algorithm of grid search can determine the parameters much more easily and accurately than using any nonlinear regression methods. In addi tion, the grid search method is very easy to understand and execute, and th e accuracy of the results can be exhibited by the value of the least-square function. (C) 2000 John Wiley & Sons, Inc.