Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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SOME PROPERTIES OF A CERTAIN PATTERNED MATRIX

  • Park, Jong-Tae (Department of Information Statistics, Pyongtaek University)
  • Published : 2004.05.01

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Abstract

This paper presents the interesting properties of a certain patterned matrix that plays an significant role in the statistical analysis. The necessary and sufficient condition on the existence of the inverse of the patterned matrix and its determinant are derived. In special cases of the patterned matrix, explicit formulas for its inverse, determinant and the characteristic equation are obtained.

Keywords

References

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  2. Matrices with applications in statistics F. A. Graybill
  3. Biometrika v.43 On inverting a class of patterned matrices S. N. Roy;A. E. Sarhan
  4. J. Roy. Statist. Soc. Ser. B v.22 Evaluation of determinants, characteristic equations and their roots for a class of patterned matrices S. N. Roy;B. G. Greenberg;A. E. Sarhan