SOLVING THE KRIGING PROBLEM BY USING THE GRAM-SCHMIDT ORTHOGONALIZATION

被引：2

作者：

KACEWICZ, M ^{[1
]}

机构：

[1] FREE UNIV BERLIN,INST GEOL MATH GEOL,W-1000 BERLIN 46,GERMANY

来源：

MATHEMATICAL GEOLOGY | 1991年 / 23卷 / 01期

关键词：

HILBERT SPACE; PROJECTION THEOREM; KRIGING; GRAM-SCHMIDT ORTHOGONALIZATION; COST OF CALCULATIONS;

D O I：

10.1007/BF02065970

中图分类号：

P [天文学、地球科学];

学科分类号：

07 ;

摘要：

This paper presents an approach to solve the kriging problem, defined in terms of projections, by using Gram-Schmidt orthogonalization. The Gram-Schmidt orthogonalization allows us to find an optimal approximation Y* in the n-dimensional subspace H(n) of any vector Y element of a Hilbert space H. This approach requires O(n3) multiplication operations to obtain an orthogonal basis, and O(n2) multiplications needed to calculate kriging solution for a given point.

引用

页码：111 / 118

页数：8