<?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>1794-1237</journal-id>
<journal-title><![CDATA[Revista EIA]]></journal-title>
<abbrev-journal-title><![CDATA[Rev.EIA.Esc.Ing.Antioq]]></abbrev-journal-title>
<issn>1794-1237</issn>
<publisher>
<publisher-name><![CDATA[Escuela de ingenieria de Antioquia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1794-12372012000200007</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[ALGORITMO PARA LA SOLUCIÓN NUMÉRICA DE SISTEMAS DE ECUACIONES NO LINEALES MEDIANTE UNA ESTRATEGIA DE OPTIMIZACIÓN GLOBAL BASADA EN ANÁLISIS DE INTERVALOS]]></article-title>
<article-title xml:lang="en"><![CDATA[AN ALGORITHM FOR NUMERICAL SOLUTION OF NONLINEAR EQUATIONS SYSTEMS USING A STRATEGY OF GLOBAL OPTIMIZATION BASED ON INTERVAL ANALYSIS]]></article-title>
<article-title xml:lang="pt"><![CDATA[ALGORÍTMO PARA A SOLUÇÃO NUMÉRICA DE SISTEMAS DE EQUAÇÕES NÃO LINEARES MEDIANTE UMA ESTRATÉGIA DE OTIMIZAÇÃO GLOBAL BASEADA EM ANÁLISE DE INTERVALOS]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Gómez]]></surname>
<given-names><![CDATA[Luis Antonio]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Reyes]]></surname>
<given-names><![CDATA[Edilberto José]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Correa]]></surname>
<given-names><![CDATA[Carlos Rodrigo]]></given-names>
</name>
<xref ref-type="aff" rid="A03"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad Industrial de Santander Escuela de Ingenierías Eléctrica, Electrónica y de Telecomunicaciones ]]></institution>
<addr-line><![CDATA[Bucaramanga ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Universidad Industrial de Santander Escuela de Matemáticas ]]></institution>
<addr-line><![CDATA[Bucaramanga ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="A03">
<institution><![CDATA[,Universidad Industrial de Santander Escuela de Ingenierías Eléctrica, Electrónica y de Telecomunicaciones ]]></institution>
<addr-line><![CDATA[Bucaramanga ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2012</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2012</year>
</pub-date>
<numero>18</numero>
<fpage>77</fpage>
<lpage>89</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S1794-12372012000200007&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S1794-12372012000200007&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S1794-12372012000200007&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[En este artículo se presenta un algoritmo para la solución numérica de sistemas de ecuaciones no lineales. Para este propósito el sistema de ecuaciones se convierte en una función de valor real para luego ser minimizada, en el sentido global, en un dominio inicial dado (una caja en <img src="img/revistas/eia/n18/n18a07for3.gif">n) usando análisis de intervalos. El algoritmo diseñado tiene la capacidad de determinar la existencia o no de soluciones al sistema de ecuaciones en una caja dada. Las soluciones del sistema de ecuaciones, si existen dentro de la caja dada, son expresadas mediante encerramientos por subcajas cuyo tamaño es menor que la exactitud establecida. No hay restricción acerca de la relación entre el número de ecuaciones y el número de incógnitas del sistema. Se realiza además un análisis de la convergencia del algoritmo y se muestran los resultados de su aplicación para algunos problemas de prueba.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[In this paper an algorithm for the numerical solution of nonlinear equations systems is presented. For this purpose the system of equations becomes a function of real value which will be minimized, in the global sense, in a given initial domain (a box in <img src="img/revistas/eia/n18/n18a07for3.gif">n) using analysis of intervals. The designed algorithm has the ability to determine the existence or not of solutions to the system of equations in a given box. The solutions of the system of equations, if they exist inside the given box, are expressed by means of enclosures by sub-boxes whose size is smaller than the established accuracy. There is not restriction about the relationship between the number of equations and the number of unknowns of the system. It is also carried out an analysis of the convergence of the algorithm, and the results of their application are shown for some test problems.]]></p></abstract>
<abstract abstract-type="short" xml:lang="pt"><p><![CDATA[Em este artigo apresenta-se um algoritmo para a solução numérica de sistemas de equações não lineares. Para este propósito o sistema de equações converte-se em uma função de valor real para logo ser minimizada, no sentido global, em um domínio inicial dado (uma caixa em <img src="img/revistas/eia/n18/n18a07for3.gif">n) usando análise de intervalos. O algoritmo desenhado tem a capacidade de determinar a existência ou não de soluções ao sistema de equações em uma caixa dada. As soluções do sistema de equações, se existirem dentro da caixa dada, são expressas mediante fechamentos por subcaixas cujo tamanho é menor que a exatidão estabelecida. Não há restrição a respeito da relação entre o número de equações e o número de incógnitas do sistema. Realiza-se ademais uma análise da convergência do algoritmo e mostram-se os resultados de sua aplicação para alguns problemas de prova.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[sistemas de ecuaciones no lineales]]></kwd>
<kwd lng="es"><![CDATA[optimización global]]></kwd>
<kwd lng="es"><![CDATA[minimización]]></kwd>
<kwd lng="es"><![CDATA[análisis de intervalos]]></kwd>
<kwd lng="es"><![CDATA[caja en <img src="img/revistas/eia/n18/n18a07for3.gif">n]]></kwd>
<kwd lng="en"><![CDATA[systems of nonlinear equations]]></kwd>
<kwd lng="en"><![CDATA[global optimization]]></kwd>
<kwd lng="en"><![CDATA[minimization]]></kwd>
<kwd lng="en"><![CDATA[interval analysis]]></kwd>
<kwd lng="en"><![CDATA[box in <img src="img/revistas/eia/n18/n18a07for3.gif">n]]></kwd>
<kwd lng="pt"><![CDATA[sistemas de equações não lineares]]></kwd>
<kwd lng="pt"><![CDATA[otimização global]]></kwd>
<kwd lng="pt"><![CDATA[minimização]]></kwd>
<kwd lng="pt"><![CDATA[análise de intervalos]]></kwd>
<kwd lng="pt"><![CDATA[caixa em <img src="img/revistas/eia/n18/n18a07for3.gif">n]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  ]]></body><back>
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