Some Remarks on a Collocation Method for First Kind Integral Equations

نویسندگان

  • Elena Pelican
  • Constantin Popa
  • ELENA PELICAN
  • CONSTANTIN POPA
چکیده

In [4] the authors proposed a collocation algorithm for approximating the minimal norm least-squares solution of first kind integral equations with continuous reproducing kernel. The convergence of the approximate solutions sequence is proved under the assumption that all the sets of collocation functions are linearly independent. In this paper we replace the above assumption by a weaker one and prove that the corresponding sequence of approximations still converges to the minimal norm solution of the initial equation.

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تاریخ انتشار 2003