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High order iterative schemes for quadratic equations

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Abstract

High order iterative methods for quadratic equations are studied. A bi-parametric family that includes some well known iterative schemes is introduced. A unified semilocal convergence theorem is presented. The implementation and some applications to partial differential equations are finally discussed.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Cartagena, Spain

    Virginia Alarcón, Sergio Amat, Sonia Busquier & Fernando Manzano

Authors
  1. Virginia Alarcón
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  2. Sergio Amat
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  3. Sonia Busquier
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  4. Fernando Manzano
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Corresponding author

Correspondence to Sergio Amat.

Additional information

Research supported in part by the Spanish grant MTM2007-62945.

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Alarcón, V., Amat, S., Busquier, S. et al. High order iterative schemes for quadratic equations. Numer Algor 48, 373–381 (2008). https://doi.org/10.1007/s11075-008-9206-7

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  • DOI: https://doi.org/10.1007/s11075-008-9206-7

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