A method for constructing diagonally dominant preconditioners based on Jacobi rotations

نویسندگان

  • Jin Yun Yuan
  • Plamen Y. Yalamov
چکیده

A method is presented to make a given matrix strictly diagonally dominant as much as possible based on Jacobi rotations in this paper. The strictly diagonally dominant rows are used to build a preconditioner for some iterative method. Roundoff error analysis of the method is also given. The numerical tests illustrate that the method works very well even for very ill-conditioned linear systems. AMS subject classification:65F10

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عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 174  شماره 

صفحات  -

تاریخ انتشار 2006