An Analysis on Local Convergence of Inexact Newton-Gauss Method for Solving Singular Systems of Equations
We study the local convergence properties of inexact Newton-Gauss method for singular systems of equations. Unified estimates of radius of convergence balls for one kind of singular systems of equations with constant rank derivatives are obtained. Application to the Smale point estimate theory is pr...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/752673 |
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| _version_ | 1832563876373200896 |
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| author | Fangqin Zhou |
| author_facet | Fangqin Zhou |
| author_sort | Fangqin Zhou |
| collection | DOAJ |
| description | We study the local convergence properties of inexact Newton-Gauss method for singular systems of equations. Unified estimates of radius of convergence balls for one kind of singular systems of equations with constant rank derivatives are obtained. Application to the Smale point estimate theory is provided and some important known results are extended and/or improved. |
| format | Article |
| id | doaj-art-e39f8572ddcc4fedb4da3a10f889ac21 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-e39f8572ddcc4fedb4da3a10f889ac212025-02-03T01:12:25ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/752673752673An Analysis on Local Convergence of Inexact Newton-Gauss Method for Solving Singular Systems of EquationsFangqin Zhou0Department of Mathematics and Physics, Quzhou University, Quzhou 324000, ChinaWe study the local convergence properties of inexact Newton-Gauss method for singular systems of equations. Unified estimates of radius of convergence balls for one kind of singular systems of equations with constant rank derivatives are obtained. Application to the Smale point estimate theory is provided and some important known results are extended and/or improved.http://dx.doi.org/10.1155/2014/752673 |
| spellingShingle | Fangqin Zhou An Analysis on Local Convergence of Inexact Newton-Gauss Method for Solving Singular Systems of Equations The Scientific World Journal |
| title | An Analysis on Local Convergence of Inexact Newton-Gauss Method for Solving Singular Systems of Equations |
| title_full | An Analysis on Local Convergence of Inexact Newton-Gauss Method for Solving Singular Systems of Equations |
| title_fullStr | An Analysis on Local Convergence of Inexact Newton-Gauss Method for Solving Singular Systems of Equations |
| title_full_unstemmed | An Analysis on Local Convergence of Inexact Newton-Gauss Method for Solving Singular Systems of Equations |
| title_short | An Analysis on Local Convergence of Inexact Newton-Gauss Method for Solving Singular Systems of Equations |
| title_sort | analysis on local convergence of inexact newton gauss method for solving singular systems of equations |
| url | http://dx.doi.org/10.1155/2014/752673 |
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