Some aspects of the cyclic reduction algorithm for block tridiagonal linear systems

نویسندگان

  • Don E. Heller
  • Don Heller
چکیده

The solution of a general block tridiagonal linear system by a cyclic odd-even reduction algorithm is considered. Under conditions of diagonal dominance, norms describing the off-diagonal blocks relative to the diagonal blocks decrease quadratically with each reduction. This allows early termination of the reduction when an approximate solution is desired. The algorithm is well-suited for parallel computation.

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تاریخ انتشار 2015