A Linear Programming and Least Squares Computer Method for Solving Petrologic Mixing Problems

Research Article| July 01, 1970 A Linear Programming and Least Squares Computer Method for Solving Petrologic Mixing Problems THOMAS L WRIGHT; THOMAS L WRIGHT U.S. Geological Survey, Washington, D.C. 20242 Search for other works by this author on: GSW Google Scholar PATRICK C DOHERTY PATRICK C DOHERTY U.S. Geological Survey, Menlo Park, California 94025 Search for other works by this author on: GSW Google Scholar Author and Article Information THOMAS L WRIGHT U.S. Geological Survey, Washington, D.C. 20242 PATRICK C DOHERTY U.S. Geological Survey, Menlo Park, California 94025 Publisher: Geological Society of America Received: 05 Sep 1969 Revision Received: 02 Feb 1970 First Online: 02 Mar 2017 Online ISSN: 1943-2674 Print ISSN: 0016-7606 Copyright © 1970, The Geological Society of America, Inc. Copyright is not claimed on any material prepared by U.S. government employees within the scope of their employment. GSA Bulletin (1970) 81 (7): 1995–2008. https://doi.org/10.1130/0016-7606(1970)81[1995:ALPALS]2.0.CO;2 Article history Received: 05 Sep 1969 Revision Received: 02 Feb 1970 First Online: 02 Mar 2017 Cite View This Citation Add to Citation Manager Share Icon Share Facebook Twitter LinkedIn Email Permissions Search Site Citation THOMAS L WRIGHT, PATRICK C DOHERTY; A Linear Programming and Least Squares Computer Method for Solving Petrologic Mixing Problems. GSA Bulletin 1970;; 81 (7): 1995–2008. doi: https://doi.org/10.1130/0016-7606(1970)81[1995:ALPALS]2.0.CO;2 Download citation file: Ris (Zotero) Refmanager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search All ContentBy SocietyGSA Bulletin Search Advanced Search 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. This content is PDF only. Please click on the PDF icon to access. First Page Preview Close Modal You do not have access to this content, please speak to your institutional administrator if you feel you should have access.