1. Pseudoinverse solution to construction of cubic splines.
- Author
-
ZHANG Yu-nong, LAO Wen-chao, XIAO Lin, and CHEN Yu-xi
- Subjects
- *
PSEUDOINVERSES , *SPLINE theory , *CONSTRAINT algorithms , *INTERPOLATION algorithms , *COMPUTER algorithms , *COMPUTER systems , *COMPUTER science - Abstract
In order to promote the feasibility of the construction of cubic splines, this paper presented a novel pseudoinverse-based construction method (PCM) to construct the cubic spline function effectively. Without using endpoint-constraint conditions, this method obtained the solution of the second-order derivatives of the cubic spline that was closest to the origin, namely the minimum norm solution. Theoretical analysis and numerical experiments highlight the efficacy of the PCM. For better understanding, it further studied and investigated the characteristics of various construction methods. In this way, it provided guidelines for choosing suitable methods to construct cubic splines in practical applications of engineering calculation. [ABSTRACT FROM AUTHOR]
- Published
- 2014
- Full Text
- View/download PDF