AN ALGORITHM TO MINIMIZE SINGLE VARIABLE POLYNOMIAL, FUNCTIONS FROM ANY STARTING POINT WITH QUADRATIC CONVERGENCE
Search methods often display non-convergence or excessive convergence time on certain classes of nonlinear functions arising in engineering design. The authors will define a new geometric -programming based search method for single variable polynomials that displays quadratic convergence from any st...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Stellenbosch University
2012-01-01
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| Series: | South African Journal of Industrial Engineering |
| Online Access: | http://sajie.journals.ac.za/pub/article/view/444 |
| _version_ | 1818529013701804032 |
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| author | James Thorne Doran Greening Robert E.D. Woolsey |
| author_facet | James Thorne Doran Greening Robert E.D. Woolsey |
| author_sort | James Thorne |
| collection | DOAJ |
| description | Search methods often display non-convergence or excessive convergence time on certain classes of nonlinear functions arising in engineering design. The authors will define a new geometric -programming based search method for single variable polynomials that displays quadratic convergence from any starting point Comparison over a group of test problems is made with a version of Newton's method |
| first_indexed | 2024-12-11T06:57:34Z |
| format | Article |
| id | doaj.art-c94a67aaebd4405fab28b1641a9b6278 |
| institution | Directory Open Access Journal |
| issn | 1012-277X 2224-7890 |
| language | English |
| last_indexed | 2024-12-11T06:57:34Z |
| publishDate | 2012-01-01 |
| publisher | Stellenbosch University |
| record_format | Article |
| series | South African Journal of Industrial Engineering |
| spelling | doaj.art-c94a67aaebd4405fab28b1641a9b62782022-12-22T01:16:43ZengStellenbosch UniversitySouth African Journal of Industrial Engineering1012-277X2224-78902012-01-0122AN ALGORITHM TO MINIMIZE SINGLE VARIABLE POLYNOMIAL, FUNCTIONS FROM ANY STARTING POINT WITH QUADRATIC CONVERGENCEJames ThorneDoran GreeningRobert E.D. WoolseySearch methods often display non-convergence or excessive convergence time on certain classes of nonlinear functions arising in engineering design. The authors will define a new geometric -programming based search method for single variable polynomials that displays quadratic convergence from any starting point Comparison over a group of test problems is made with a version of Newton's methodhttp://sajie.journals.ac.za/pub/article/view/444 |
| spellingShingle | James Thorne Doran Greening Robert E.D. Woolsey AN ALGORITHM TO MINIMIZE SINGLE VARIABLE POLYNOMIAL, FUNCTIONS FROM ANY STARTING POINT WITH QUADRATIC CONVERGENCE South African Journal of Industrial Engineering |
| title | AN ALGORITHM TO MINIMIZE SINGLE VARIABLE POLYNOMIAL, FUNCTIONS FROM ANY STARTING POINT WITH QUADRATIC CONVERGENCE |
| title_full | AN ALGORITHM TO MINIMIZE SINGLE VARIABLE POLYNOMIAL, FUNCTIONS FROM ANY STARTING POINT WITH QUADRATIC CONVERGENCE |
| title_fullStr | AN ALGORITHM TO MINIMIZE SINGLE VARIABLE POLYNOMIAL, FUNCTIONS FROM ANY STARTING POINT WITH QUADRATIC CONVERGENCE |
| title_full_unstemmed | AN ALGORITHM TO MINIMIZE SINGLE VARIABLE POLYNOMIAL, FUNCTIONS FROM ANY STARTING POINT WITH QUADRATIC CONVERGENCE |
| title_short | AN ALGORITHM TO MINIMIZE SINGLE VARIABLE POLYNOMIAL, FUNCTIONS FROM ANY STARTING POINT WITH QUADRATIC CONVERGENCE |
| title_sort | algorithm to minimize single variable polynomial functions from any starting point with quadratic convergence |
| url | http://sajie.journals.ac.za/pub/article/view/444 |
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