A modified Newton-Jarratt’s composition

Abstract  A reduced composition technique has been used on Newton and Jarratt’s methods in order to obtain an optimal relation between
convergence order, functional evaluations and number of operations. Following this aim, a family of methods is obtained whose
efficiency indices are proved to be better for systems of nonlinear equations.

• Content Type Journal Article
• Category Original Paper
• DOI 10.1007/s11075-009-9359-z
• Authors
  
  
  • Alicia Cordero, Universidad Politécnica de Valencia Instituto de Matemática Multidisciplinar Camino de Vera, s/n 46022 Valencia Spain
  • José L. Hueso, Universidad Politécnica de Valencia Instituto de Matemática Multidisciplinar Camino de Vera, s/n 46022 Valencia Spain
  • Eulalia Martínez, Universidad Politécnica de Valencia Instituto de Matemática Pura y Aplicada Camino de Vera, s/n 46022 Valencia Spain
  • Juan R. Torregrosa, Universidad Politécnica de Valencia Instituto de Matemática Multidisciplinar Camino de Vera, s/n 46022 Valencia Spain
  
  

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

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Original source : http://www.springerlink.com/content/16614pg2787650...