Interactive computer programs for petrologic modeling with extended Q-mode factor analysis

Computers & Geosciences
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Abstract

An extended form of Q-mode factor analysis may be used if the row-sums of the data matrix are constant and can be helpful especially in developing and testing petrologic-mixing models for igneous systems. The first step is to represent the sample compositions as unit vectors in M-dimensional space and then to project them into space of fewer dimensions (m) as determined to be appropriate from a factor-variance diagram. Compositions thought to be those of possible end-members in the petrologic system then are represented as vectors in the M-dimensional space and projected into the same space as the sample vectors. If these vectors remain close to unity in length after projection, the corresponding compositions can serve as end-member compositions for the model. After m suitable end-member compositions have been identified, each sample composition is expressed as a mixture of the end-members by computation of the composition loadings. The interactive computer programs presented are useful in these procedures because of the trial-and-error nature of the modeling procedures. ?? 1976.

Additional publication details

Publication type Article
Publication Subtype Journal Article
Title Interactive computer programs for petrologic modeling with extended Q-mode factor analysis
Series title Computers & Geosciences
DOI 10.1016/0098-3004(76)90039-X
Volume 2
Issue 4
Year Published 1976
Language English
Publisher Elsevier
Publisher location Amsterdam, Netherlands
Larger Work Type Article
Larger Work Subtype Journal Article
Larger Work Title Computers and Geosciences
First page 439
Last page 492