Fourth- and Fifth-Order Methods for Solving Nonlinear Systems of Equations: An Application to the Global Positioning System
Two iterative methods of order four and five, respectively, are presented for solving nonlinear systems of equations. Numerical comparisons are made with other existing second- and fourth-order schemes to solve the nonlinear system of equations of the Global Positioning System and some academic nonl...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/586708 |
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| _version_ | 1832552786729893888 |
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| author | Manuel F. Abad Alicia Cordero Juan R. Torregrosa |
| author_facet | Manuel F. Abad Alicia Cordero Juan R. Torregrosa |
| author_sort | Manuel F. Abad |
| collection | DOAJ |
| description | Two iterative methods of order four and five, respectively, are presented for solving nonlinear systems of equations. Numerical comparisons are made with other existing second- and fourth-order schemes to solve the nonlinear system of equations of the Global Positioning System and some academic nonlinear systems. |
| format | Article |
| id | doaj-art-869bc8bc63ef41d89fd76ba32e347789 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-869bc8bc63ef41d89fd76ba32e3477892025-02-03T05:57:46ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/586708586708Fourth- and Fifth-Order Methods for Solving Nonlinear Systems of Equations: An Application to the Global Positioning SystemManuel F. Abad0Alicia Cordero1Juan R. Torregrosa2Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 40022 Valencia, SpainInstituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 40022 Valencia, SpainInstituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 40022 Valencia, SpainTwo iterative methods of order four and five, respectively, are presented for solving nonlinear systems of equations. Numerical comparisons are made with other existing second- and fourth-order schemes to solve the nonlinear system of equations of the Global Positioning System and some academic nonlinear systems.http://dx.doi.org/10.1155/2013/586708 |
| spellingShingle | Manuel F. Abad Alicia Cordero Juan R. Torregrosa Fourth- and Fifth-Order Methods for Solving Nonlinear Systems of Equations: An Application to the Global Positioning System Abstract and Applied Analysis |
| title | Fourth- and Fifth-Order Methods for Solving Nonlinear Systems of Equations: An Application to the Global Positioning System |
| title_full | Fourth- and Fifth-Order Methods for Solving Nonlinear Systems of Equations: An Application to the Global Positioning System |
| title_fullStr | Fourth- and Fifth-Order Methods for Solving Nonlinear Systems of Equations: An Application to the Global Positioning System |
| title_full_unstemmed | Fourth- and Fifth-Order Methods for Solving Nonlinear Systems of Equations: An Application to the Global Positioning System |
| title_short | Fourth- and Fifth-Order Methods for Solving Nonlinear Systems of Equations: An Application to the Global Positioning System |
| title_sort | fourth and fifth order methods for solving nonlinear systems of equations an application to the global positioning system |
| url | http://dx.doi.org/10.1155/2013/586708 |
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