Semilocal analysis of equations with smooth operators
Recent work on semilocal analysis of nonlinear operator equations is informally reviewed. A refined version of the Kantorovich theorem for Newton's method, with new error bounds, is presented. Related topics are briefly surveyed.
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| Format: | Article |
| Language: | English |
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Wiley
1981-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171281000409 |
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| _version_ | 1832560405633826816 |
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| author | George J. Miel |
| author_facet | George J. Miel |
| author_sort | George J. Miel |
| collection | DOAJ |
| description | Recent work on semilocal analysis of nonlinear operator equations is
informally reviewed. A refined version of the Kantorovich theorem for Newton's method, with new error bounds, is presented. Related topics are briefly surveyed. |
| format | Article |
| id | doaj-art-9a9eda76150d49b08f1b6ffb2943f2cf |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1981-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9a9eda76150d49b08f1b6ffb2943f2cf2025-02-03T01:27:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251981-01-014355356310.1155/S0161171281000409Semilocal analysis of equations with smooth operatorsGeorge J. Miel0Department of Mathematical Sciences, University of Nevada, Las Vegas 89154, Nevada, USARecent work on semilocal analysis of nonlinear operator equations is informally reviewed. A refined version of the Kantorovich theorem for Newton's method, with new error bounds, is presented. Related topics are briefly surveyed.http://dx.doi.org/10.1155/S0161171281000409nonlinear equationssemilocal theoremKantorovich theoremNewton method. |
| spellingShingle | George J. Miel Semilocal analysis of equations with smooth operators International Journal of Mathematics and Mathematical Sciences nonlinear equations semilocal theorem Kantorovich theorem Newton method. |
| title | Semilocal analysis of equations with smooth operators |
| title_full | Semilocal analysis of equations with smooth operators |
| title_fullStr | Semilocal analysis of equations with smooth operators |
| title_full_unstemmed | Semilocal analysis of equations with smooth operators |
| title_short | Semilocal analysis of equations with smooth operators |
| title_sort | semilocal analysis of equations with smooth operators |
| topic | nonlinear equations semilocal theorem Kantorovich theorem Newton method. |
| url | http://dx.doi.org/10.1155/S0161171281000409 |
| work_keys_str_mv | AT georgejmiel semilocalanalysisofequationswithsmoothoperators |