On Discrete Least Squares Polynomial Fit, Linear Spaces and Data Classification| Science Publications

Journal of Mathematics and Statistics

Fran Dubeau¹  Youness Mir¹ 

关键词: Polynomial data fitting;    weighted least squares;    orthogonal polynomials;    linear spaces;    data classification;   

DOI  :  10.3844/jmssp.2007.222.227

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

The best discrete least squares polynomial fit to a data set is revisited. We point out some properties related to the best polynomial and precise the dimension of vector spaces encountered to solve the problem. Finally, we suggest a basic classification of data sets based on their increasing or decreasing trend, and on their convexity or concavity form.

【 授权许可】

Unknown