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On Numerical Radius of a Matrix and Estimation of Bounds for Zeros of a Polynomial

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  • Kallol Paul
  • Santanu Bag

Abstract

We obtain inequalities involving numerical radius of a matrix . Using this result, we find upper bounds for zeros of a given polynomial. We also give a method to estimate the spectral radius of a given matrix up to the desired degree of accuracy.

Suggested Citation

  • Kallol Paul & Santanu Bag, 2012. "On Numerical Radius of a Matrix and Estimation of Bounds for Zeros of a Polynomial," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-15, October.
  • Handle: RePEc:hin:jijmms:129132
    DOI: 10.1155/2012/129132
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