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Paper   IPM / M / 7740
School of Mathematics
  Title:   Hybrid preconditioned algorithms for boundary hypersingular integral equations
  Author(s):  D. Rostamy
  Status:   Published
  Journal: Appl. Math. Comput.
  Vol.:  166
  Year:  2005
  Pages:   531-550
  Supported by:  IPM
Three preconditioners for solving boundary hypersingular integral equations of the first kind are proposed. The first and the second preconditioners are based on circulant operators. The third is a hybrid of iterative substructuring techniques and circulant operators. Although his class of preconditioners are composition of circulant operators but we have shown that the condition number of the third preconditioner does not exceed the condition number of two preconditioners. Numerical results are included.

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