Accession Number:

AD0728237

Title:

On The Construction of a Class of Smoothing Splines in Several Variables,

Descriptive Note:

Corporate Author:

TEXAS UNIV AUSTIN CENTER FOR NUMERICAL ANALYSIS

Personal Author(s):

Report Date:

1971-05-01

Pagination or Media Count:

18.0

Abstract:

Smoothing polynomial plines have been defined by I. J. Schoenberg. Generalizations of this notion have been given for example by M. Atteia and G. M. Nielson. In this report the author presents first the general abstract definition of the smoothing spline functions given by M. Atteia and describes the projection method of construction given by P. M. Anselone and P. J. Laurent. Then a certain type of smoothing spline in several variables are defined. Finally, a minimization property of the splines introduced above are studied. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE