DOI QR코드

DOI QR Code

LOCATING ROOTS OF A CERTAIN CLASS OF POLYNOMIALS

  • Argyros, Ioannis K. (CAMERON UNIVERSITY DEPARTMENT OF MATHEMATICS SCIENCES) ;
  • Hilout, Said (POITIERS UNIVERSITY LABORATOIRE DE MATHEMATIQUES ET APPLICATIONS)
  • 투고 : 2009.05.13
  • 심사 : 2010.05.12
  • 발행 : 2010.05.31

초록

We introduce a special class of real recurrent polynomials $f_m$$($m{\geq}1$) of degree m+1, with positive roots $s_m$, which are decreasing as m increases. The first root $s_1$, as well as the last one denoted by $s_{\infty}$ are expressed in closed form, and enclose all $s_m$ (m > 1). This technique is also used to find weaker than before [6] sufficient convergence conditions for some popular iterative processes converging to solutions of equations.

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참고문헌

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