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An Efficient and Simple Algorithm for Matrix Inversion

Author

Listed:
  • Ahmad Farooq

    (King Khalid University, Saudi Arabia)

  • Khan Hamid

    (National University of Computer and Emerging Sciences (NUCES), Pakistan)

Abstract

In this paper, a new algorithm is proposed for finding inverse and determinant of a given matrix in one instance. The algorithm is straightforward in understanding and manual calculations. Computer implementation of the algorithm is extremely simple and is quite efficient in time and memory utilization. The algorithm is supported by an example. The number of multiplication/division performed by the algorithm is exactly; however, its efficiency lies in the simplicity of coding and minimal utilization of memory. Simple applicability and reduced execution time of the method is validated form the numerical experiments performed on test problems. The algorithm is applicable in the cases of pseudo inverses for non-square matrices and solution of system of linear equations with minor modification.

Suggested Citation

  • Ahmad Farooq & Khan Hamid, 2010. "An Efficient and Simple Algorithm for Matrix Inversion," International Journal of Technology Diffusion (IJTD), IGI Global, vol. 1(1), pages 20-27, January.
    • Handle: RePEc:igg:jtd000:v:1:y:2010:i:1:p:20-27
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