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Applicability of array algebra
Author(s) -
Snay Richard A.
Publication year - 1978
Publication title -
reviews of geophysics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 8.087
H-Index - 156
eISSN - 1944-9208
pISSN - 8755-1209
DOI - 10.1029/rg016i003p00459
Subject(s) - computation , matrix (chemical analysis) , transformation (genetics) , mathematics , simultaneous equations , system of linear equations , algebra over a field , least squares function approximation , computer science , algorithm , mathematical analysis , statistics , differential equation , pure mathematics , biochemistry , chemistry , materials science , estimator , composite material , gene
Matrix equations, as occur in the techniques of least squares estimation and prediction, transform into equivalent array equations when the data are gridded. The mathematical model and the weight matrix associated with the data must also conform to certain requirements for this transformation. In comparison to the matrix equations the array equations result in significant savings in the number of computations and in the required storage.