
<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:title>An Iterative Method Converging to a Positive Solution of Certain Systems of Polynomial Equations</dc:title>
  <dc:subject>Expectation-maximization</dc:subject>
  <dc:subject>iterative proportional fitting</dc:subject>
  <dc:subject>numerical algebraic geometry</dc:subject>
  <dc:subject>positive solutions</dc:subject>
  <dc:description>We present a numerical algorithm for finding real non-negative solutions to a certain class of polynomial
		equations. Our methods are based on the expectation maximization and iterative proportional fitting algorithms,
		which are used in statistics to find maximum likelihood parameters for certain classes of statistical models.
		Since our algorithm works by iteratively improving an approximate solution, we find approximate solutions in the
		cases when there are no exact solutions, such as overconstrained systems.</dc:description>
  <dc:contributor>Cartwright, Dustin</dc:contributor>
  <dc:date>2011</dc:date>
  <dc:date>2011</dc:date>
  <dc:type>Article</dc:type>
  <dc:format>application/pdf</dc:format>
  <dc:identifier>islandora:1007828</dc:identifier>
  <dc:identifier>http://hdl.handle.net/10560/islandora:1007828</dc:identifier>
  <dc:source>MATH / Applied Mathematics</dc:source>
  <dc:source>Illinois Institute of Technology</dc:source>
  <dc:source>Journal of Algebraic Statistics</dc:source>
  <dc:language>en</dc:language>
  <dc:rights>Open Access</dc:rights>
</oai_dc:dc>