On Conditionally Positive Definite Dot Product Kernels

作     者：V.A.MENEGATTO C.P.OLIVEIRA Ana P.PERON 

作者机构：Departamento de MatemáticaICMC-USP- Sāo CarlosCaixa Postal 66813560-970 Sāo Carlos SPBrasil Universidade Federal de ItajubáICE-DMCCaixa Postal 5037500-903 ItajubáMGBrasil 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2008年第24卷第7期

页      面：1127-1138页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：PROCAD-CAPES Grant # 0092/01-0 

主　　题：conditionally positive definite kernels dot product kernels Gram matrices convexity convexity in the sense of Jensen 

摘      要：Let m and n be fixed, positive integers and P a space composed of real polynomials in m variables. The authors study functions f ： R →R which map Gram matrices, based upon n points of R^m, into matrices, which are nonnegative definite with respect to P Among other things, the authors discuss continuity, differentiability, convexity, and convexity in the sense of Jensen, of such functions