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

✍ Scribed by Daoyong Chen; Xiaoheng Liu; Yaping Zhou; Xujie Yang; Lude Lu; Xin Wang

• Publisher: John Wiley and Sons
• Year: 2000
• Tongue: English
• Weight: 164 KB
• Volume: 76
• Category: Article
• ISSN: 0021-8995
• DOI: 10.1002/(sici)1097-4628(20000425)76:4<481::aid-app5>3.0.co;2-u

✦ Synopsis

This article demonstrates the applicability of the algorithm of grid search to the determination of Mark-Houwink (MH) parameters. In the existing methods, the determination of MH parameters involves the use of linear or nonlinear regression. In the cases of using the algorithm of grid search to solve the linear regression problem for the determination of MH parameters, the values of the MH parameters obtained by the grid search method are the same as those obtained by the linear regression method, while in the cases when 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 addition, the grid search method is very easy to understand and execute, and the accuracy of the results can be exhibited by the value of the least-square function.