Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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AN ABS ALGORITHM FOR SOLVING SINGULAR NONLINEAR SYSTEMS WITH RANK ONE DEFECT

  • Ge, Ren-Dong (Department of Applied Mathematics, Dalian University of Technology) ;
  • Xia, Zun-Quan (Department of Applied Mathematics, Dalian University of Technology)
  • Published : 2002.12.01

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Abstract

A modified discretization ABS algorithm for solving a class of singular nonlinear systems, F($\chi$)=0, where $\chi$, F $\in$ $R^n$, is presented, constructed by combining a discretization ABS algorithm arid a method of Hoy and Schwetlick (1990). The second order differential operation of F at a point is not required to be calculated directly in this algorithm. Q-quadratic convergence of this algorithm is given.

Keywords

References

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