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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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
Keywords
- Nonlinear quadratic equations
- High order of convergence
- Semilocal convergence
- Fast multiresolution algorithms
- Poisson’s equation