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Approximating the Matrix Sign Function Using a Novel Iterative Method

Author

Listed:
  • F. Soleymani
  • P. S. Stanimirović
  • S. Shateyi
  • F. Khaksar Haghani

Abstract

This study presents a matrix iterative method for finding the sign of a square complex matrix. It is shown that the sequence of iterates converges to the sign and has asymptotical stability, provided that the initial matrix is appropriately chosen. Some illustrations are presented to support the theory.

Suggested Citation

  • F. Soleymani & P. S. Stanimirović & S. Shateyi & F. Khaksar Haghani, 2014. "Approximating the Matrix Sign Function Using a Novel Iterative Method," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, July.
    • Handle: RePEc:hin:jnlaaa:105301
    DOI: 10.1155/2014/105301
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    Cited by:

    1. Tao Liu & Ting Li & Malik Zaka Ullah & Abdullah Khamis Alzahrani & Stanford Shateyi, 2024. "An Efficient Iterative Approach for Hermitian Matrices Having a Fourth-Order Convergence Rate to Find the Geometric Mean," Mathematics, MDPI, vol. 12(11), pages 1-12, June.

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