A linear programming and least squares computer method for solving petrologic mixing problems
GSA Bulletin
By: Thomas L. Wright and Patrick C. Doherty
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Abstract
Problems of petrologic mixing have been solved using a two-stage computer-based calculation. First, linear programming is used to obtain an approximate solution and to identify non-negative solution values. Then a conventional least squares calculation is performed using the analyses represented by non-negative solution values as input to yield an optimum set of solution values. The error attached to each solution value is estimated by an empirical procedure. Petrologic application of the program has been demonstrated with three types of calculations: chemical mode, magma mixing, and liquid line of descent.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | A linear programming and least squares computer method for solving petrologic mixing problems |
| Series title | GSA Bulletin |
| DOI | 10.1130/0016-7606(1970)81[1995:ALPALS]2.0.CO;2 |
| Volume | 81 |
| Issue | 7 |
| Year Published | 1970 |
| Language | English |
| Publisher | GSA |
| Contributing office(s) | Volcano Science Center |
| Description | 14 p. |
| First page | 1995 |
| Last page | 2008 |
| Google Analytic Metrics | Metrics page |