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Parallel algorithm for inverting tridiagonal matrix on linear processor array

  • M. K. Stojčev
  • E. I. Milovanović
  • M. D. Mihajlović
  • I. Ž. Milovanović
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 854)

Abstract

A fast and efficient parallel algorithm for tridiagonal matrix inversion is presented. The algorithm is based on partitioning and reordering the initial tridiagonal matrix which allows us to parallelize it efficiently. The algorithm is implemented on a linear processor array. For interprocessor communication we consider three types of network components: dual-port RAM, FIFO RAM and a router. We derive the performances of the algorithm and the system which relates to the number of calculation steps, speedup and efficiency. The obtained results show that the method is highly valuable.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • M. K. Stojčev
    • 1
  • E. I. Milovanović
    • 1
  • M. D. Mihajlović
    • 1
  • I. Ž. Milovanović
    • 1
  1. 1.Faculty of Electronic EngineeringUniversity of NišNišSerbia

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