LEAST-SQUARES COLLOCATION

被引:129
作者
MORITZ, H [1 ]
机构
[1] OHIO STATE UNIV,COLUMBUS,OH 43210
关键词
MATHEMATICAL TECHNIQUES;
D O I
10.1029/RG016i003p00421
中图分类号
P3 [地球物理学]; P59 [地球化学];
学科分类号
0708 ; 070902 ;
摘要
Least-squares collocation is a mathematical technique for determining the earth's figure and gravitational field by a combination of heterogeneous data of different kinds. The same formulas may be interpreted in very different ways: as the solution of a geophysical inverse problem, as a statistical estimation method combining least-squares adjustment and least-squares prediction, and as an analytical approximation to the earth's potential by means of harmonic functions. The present review article attempts a unified presentation of the subject with emphasis on theory.
引用
收藏
页码:421 / 430
页数:10
相关论文
共 84 条
[1]  
BACKUS G, 1970, P NATL ACAD SCI USA, V65, P1, DOI 10.1073/pnas.65.1.1
[2]  
BACKUS GE, 1970, P NATL ACAD SCI USA, V65, P281
[3]  
BALMINO G, 1976, PUBL DEUT GEOD KOMM, V86
[4]  
Baussus von Luetzow H., 1973, EOS Transactions of the American Geophysical Union, V54, P1067
[5]  
Bellaire R. G., 1977, Bulletin Geodesique, V51, P149, DOI 10.1007/BF02522284
[6]  
BJERHAMMAR A, 1975, TELLUS, V27, P97, DOI 10.1111/j.2153-3490.1975.tb01663.x
[7]  
BJERHAMMAR A, 1976, B GEOD SCI AFFINI, V34, P185
[8]  
BJERHAMMAR A, 1975, METHOD VERFAHREN MAT, V14, P29
[9]  
BJERHAMMAR A, 1973, THEORY ERRORS GENERA
[10]  
BLAHA G, 1976, AFGLTR760073 AIR FOR