On new iterative method for solving systems of nonlinear equations

Abstract  Solving systems of nonlinear equations is a relatively complicated problem for which a number of different approaches have
been proposed. In this paper, we employ the Homotopy Analysis Method (HAM) to derive a family of iterative methods for solving
systems of nonlinear algebraic equations. Our approach yields second and third order iterative methods which are more efficient
than their classical counterparts such as Newton’s, Chebychev’s and Halley’s methods.

• Content Type Journal Article
• Category Original Paper
• DOI 10.1007/s11075-009-9342-8
• Authors
  
  
  • Fadi Awawdeh, Hashemite University Zarqa Jordan
  
  

• Journal Numerical Algorithms
• Online ISSN 1572-9265
• Print ISSN 1017-1398

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Original source : http://www.springerlink.com/content/6804745r423t26...