<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:creator>SCHNEEBELI, HANS RUDOLF</dc:creator>
  <dc:creator>WIHLER, THOMAS P.</dc:creator>
  <dc:date>2011</dc:date>
  <dc:description xmlns:ns0="xml" ns0:lang="en">&lt;jats:p&gt; The Newton–Raphson method for solving nonlinear equations f(x) = 0 in ℝ&lt;jats:sup&gt;n&lt;/jats:sup&gt; is discussed within the context of ordinary differential equations. This framework makes it possible to reformulate the scheme by means of an adaptive step size control procedure that aims at reducing the chaotic behavior of the original method without losing the quadratic convergence close to the roots. The performance of the modified scheme is illustrated with a few low-dimensional examples. &lt;/jats:p&gt;</dc:description>
  <dc:identifier>https://sonar.ch/global/documents/244496</dc:identifier>
  <dc:language>eng</dc:language>
  <dc:relation>info:eu-repo/semantics/altIdentifier/doi/10.1142/s0218348x11005191</dc:relation>
  <dc:relation>info:eu-repo/semantics/altIdentifier/issn/0218-348X</dc:relation>
  <dc:source>Fractals. - World Scientific Pub Co Pte Lt. - 2011, vol. 19, no. 01, p. 87-99</dc:source>
  <dc:subject xmlns:ns1="xml" ns1:lang="en">Modelling and Simulation</dc:subject>
  <dc:subject xmlns:ns2="xml" ns2:lang="en">Geometry and Topology</dc:subject>
  <dc:subject xmlns:ns3="xml" ns3:lang="en">Applied Mathematics</dc:subject>
  <dc:title xmlns:ns4="xml" ns4:lang="en">THE NEWTON–RAPHSON METHOD AND ADAPTIVE ODE SOLVERS</dc:title>
  <dc:type>http://purl.org/coar/resource_type/c_6501</dc:type>
</oai_dc:dc>