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

Computers and Geosciences

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DOI: 10.1016/0098-3004(76)90039-X

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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 and 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