Six factors which affect the condition number of matrices associated with kriging

Mathematical Geology

Volumn 29, Issue 5, 1997, Pages 669-683

  Davis, George J ^a   Morris, Max D ^b  

^a GEORGIA STATE UNIVERSITY   (United States)

^b OAK RIDGE NATIONAL LABORATORY   (United States)

Author keywords

Conditioning; Robustness; Stability

Indexed keywords

KRIGING; MATRIX CONDITION NUMBER;

EID: 0031473268     PISSN: 08828121     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02769650     Document Type: Article

References (12)

1. Ababou, R., Bagtzoglou, A. C., and Wood, E. F., 1994, On the condition number of covariance matrices in kriging, estimation, and simulation of random fields: Math. Geology, v. 26, no. 1, p. 99-133.
2. Cressie, N., 1990, The origins of kriging: Math. Geology, v. 22, no. 3, p. 239-252.
3. Diamond, P., and Armstrong, M., 1984, Robustness of variograms and conditioning of kriging matrices: Math. Geology, v. 16, no. 8, p. 809-822.
4. Golub, G. H., and Van Loan, C. F., 1989, Matrix computations (2nd. ed): The Johns Hopkins Univ. Press, Baltimore, MD, 642 p.
5. Journel, A. G., and Huijbregts, Ch. J., 1978, Mining geostatistics: Academic Press, New York, 600 p.
6. Krige, D. G., 1951, A statistical approach to some basic mine valuation problems on the witwatersrand: Jour. Chem. Metal. Min. Soc. South Africa, v. 52, p. 119-139.
7. Morris, M. D., 1991, On counting the number of data pairs for semivariogram estimation: Math. Geology, v. 23, no. 7, p. 929-943.
8. O'Dowd, R. J., 1991, Conditioning of coefficient matrices of ordinary kriging: Math. Geology, v. 23, no. 5, p. 721-739.
9. Oliver, M. A., Lajaunie, Ch., Webster, R., Muir, K. R., and Mann, J. R., 1992, Estimating the risk of childhood cancer, in Soares, A., ed., Geostatistics Troia '92: Kluwer Acad. Publ., Dordrecht, p. 899-910.
10. Posa, D., 1989, Conditioning of the stationary kriging matrices for some well-known covariance models: Math. Geology, v. 21, no. 7, p. 755-765.
11. Webster, R., and Oliver, M. A., 1992, Sample adequately to estimate variograms of soil properties: Jour. Soil Science, v. 43, no. 1, p. 177-192.
12. Yfantis, E., Flatman, G. T., and Behar, J. V., 1987, Efficiency of kriging estimation for square, triangular, and hexagonal Grids: Math. Geology, v. 19, no. 3, p. 183-205.