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<oai_dc:dc schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>A new semilocal convergence theorem for Newton's method</dc:title>
<dc:creator>Gutiérrez, J.M.</dc:creator>
<dc:subject>Convergence theorem</dc:subject>
<dc:subject>Error estimates</dc:subject>
<dc:subject>Majorizing sequences</dc:subject>
<dc:subject>Newton's method</dc:subject>
<dc:subject>Nonlinear equations in Banach spaces</dc:subject>
<dc:description>A new semilocal convergence theorem for Newton's method is established for solving a nonlinear equation F(x)=0, defined in Banach spaces. It is assumed that the operator F is twice Fréchet differentiable, and F satisfies a Lipschitz type condition. Results on uniqueness of solution and error estimates are also given. Finally, these results are compared with those that use Kantorovich conditions.</dc:description>
<dc:date>1997</dc:date>
<dc:type>info:eu-repo/semantics/article</dc:type>
<dc:type>Subtype: Article</dc:type>
<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
<dc:identifier>https://investigacion.unirioja.es/documentos/5bbc6979b750603269e81bce</dc:identifier>
<dc:identifier>urn:issn:0377-0427</dc:identifier>
<dc:language>eng</dc:language>
<dc:relation>info:eu-repo/semantics/altIdentifier/wos/WOS:A1997WN38700009</dc:relation>
<dc:relation>info:eu-repo/semantics/altIdentifier/pissn/0377-0427</dc:relation>
<dc:relation>A new semilocal convergence theorem for Newton's method, 1997, vol. 79, núm. 1, pág. 131-145</dc:relation>
<dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
<dc:format>application/pdf</dc:format>
</oai_dc:dc>