<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0120-419X</journal-id>
<journal-title><![CDATA[Revista Integración]]></journal-title>
<abbrev-journal-title><![CDATA[Integración - UIS]]></abbrev-journal-title>
<issn>0120-419X</issn>
<publisher>
<publisher-name><![CDATA[Universidad Industrial de Santander]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0120-419X2021000200217</article-id>
<article-id pub-id-type="doi">10.18273/revint.v39n2-20210005</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Un algoritmo Newton inexacto para complementariedad horizontal]]></article-title>
<article-title xml:lang="en"><![CDATA[An inexact Newton algorithm for horizontal complementarity]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[ARIAS]]></surname>
<given-names><![CDATA[CARLOS A.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[PÉREZ]]></surname>
<given-names><![CDATA[ROSANA]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[MARTÍNEZ]]></surname>
<given-names><![CDATA[HÉCTOR J.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad del Cauca Departamento de Matemáticas ]]></institution>
<addr-line><![CDATA[Popayán ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad del Cauca Departamento de Matemáticas ]]></institution>
<addr-line><![CDATA[Popayán ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad del Valle  ]]></institution>
<addr-line><![CDATA[Cali ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2021</year>
</pub-date>
<volume>39</volume>
<numero>2</numero>
<fpage>217</fpage>
<lpage>239</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-419X2021000200217&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-419X2021000200217&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-419X2021000200217&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen. En este artículo, proponemos un nuevo algoritmo tipo Newton inexacto para resolver el problema de complementariedad horizontal mediante su reformulación como un problema de minimización restricto. El algoritmo usa la estrategia de combinar una dirección Newton inexacta con su proyección sobre el conjunto factible; esta última opción solo se usa cuando se necesita garantizar factibilidad. Además, presentamos un análisis teórico y numérico del nuevo algoritmo. MSC2010: 49M15, 90C06, 90C30, 90C33]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract. In this article, we proposed a new inexact Newton algorithm to solve the horizontal complementarity problem from its reformulation as a constrained minimization problem. The algorithm uses an inexact Newton direction and it uses the orthogonal projection of that direction on the feasible set only when it is necessary to guarantee feasibility. Moreover, we present a theoretical and numerical analysis of the proposed algorithm.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Problema de complementariedad horizontal]]></kwd>
<kwd lng="es"><![CDATA[método de Newton inexacto]]></kwd>
<kwd lng="es"><![CDATA[proyección ortogonal]]></kwd>
<kwd lng="en"><![CDATA[Horizontal complementarity problem]]></kwd>
<kwd lng="en"><![CDATA[inexact Newton method]]></kwd>
<kwd lng="en"><![CDATA[orthogonal projection]]></kwd>
</kwd-group>
</article-meta>
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