A Modified Steffensen Iterative Method with Fourth-order Convergence
A new fourth-order convergent iterative method formed by Newton’s method and Steffensen method is presented to solve nonlinear equations in this paper． The new iteration formula uses derivative of quadratic interpolation as substitute for derivative of function，so it is totally free from derivativ...
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| Format: | Article |
| Language: | zho |
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Harbin University of Science and Technology Publications
2017-12-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1468 |
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| _version_ | 1849222388098531328 |
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| author | WEI Jia HUANG Jia-yue |
| author_facet | WEI Jia HUANG Jia-yue |
| author_sort | WEI Jia |
| collection | DOAJ |
| description | A new fourth-order convergent iterative method formed by Newton’s method and Steffensen method is
presented to solve nonlinear equations in this paper． The new iteration formula uses derivative of quadratic
interpolation as substitute for derivative of function，so it is totally free from derivatives． Furthermore，this method
requires only three evaluations of the function by each iteration． |
| format | Article |
| id | doaj-art-c82633ef1de54c47bb6f2b34e58862e0 |
| institution | Kabale University |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2017-12-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-c82633ef1de54c47bb6f2b34e58862e02025-08-26T06:13:13ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832017-12-01220613113310.15938/j.jhust.2017.06.025A Modified Steffensen Iterative Method with Fourth-order ConvergenceWEI Jia0HUANG Jia-yue1School of Sciences，Harbin University of Science and Technology，Harbin 150080，ChinaSchool of Sciences，Harbin University of Science and Technology，Harbin 150080，ChinaA new fourth-order convergent iterative method formed by Newton’s method and Steffensen method is presented to solve nonlinear equations in this paper． The new iteration formula uses derivative of quadratic interpolation as substitute for derivative of function，so it is totally free from derivatives． Furthermore，this method requires only three evaluations of the function by each iteration．https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1468newton’s methodsteffensen methodquadratic interpolation |
| spellingShingle | WEI Jia HUANG Jia-yue A Modified Steffensen Iterative Method with Fourth-order Convergence Journal of Harbin University of Science and Technology newton’s method steffensen method quadratic interpolation |
| title | A Modified Steffensen Iterative Method with Fourth-order Convergence |
| title_full | A Modified Steffensen Iterative Method with Fourth-order Convergence |
| title_fullStr | A Modified Steffensen Iterative Method with Fourth-order Convergence |
| title_full_unstemmed | A Modified Steffensen Iterative Method with Fourth-order Convergence |
| title_short | A Modified Steffensen Iterative Method with Fourth-order Convergence |
| title_sort | modified steffensen iterative method with fourth order convergence |
| topic | newton’s method steffensen method quadratic interpolation |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1468 |
| work_keys_str_mv | AT weijia amodifiedsteffenseniterativemethodwithfourthorderconvergence AT huangjiayue amodifiedsteffenseniterativemethodwithfourthorderconvergence AT weijia modifiedsteffenseniterativemethodwithfourthorderconvergence AT huangjiayue modifiedsteffenseniterativemethodwithfourthorderconvergence |