대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제19권3호
  • /
  • Pages.453-459
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  • 2004
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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WORST CASES OF POLYNOMIAL ZEROS BAD

  • Kim, Seon-Hong (Department of Mathematics College of Natural Science Chosun University)
  • 발행 : 2004.07.01
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초록

In this paper, we provide an example of "worst cases" of bad pairs of polynomial zeros, namely sums of two polynomials with all pairs of zeros bad and all their zeros real.

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참고문헌

  1. Pacific J. Math. v.89 On the zeros of convex combinations of polynomials H. J. Fell https://doi.org/10.2140/pjm.1980.89.43
  2. Commun. Korean Math. Soc. v.15 no.4 Bad pairs of polynomial zeros S.-H. Kim
  3. J. Math. Anal. Appl. v.260 no.1 Zeros of certain sums of two polynomials S.-H. Kim https://doi.org/10.1006/jmaa.2000.7461
  4. Proc. Indian Acad. Sci. Math. Sci. v.112 no.2 Sums of two polynomials with each having real zeros symmetric with the other S.-H. Kim https://doi.org/10.1007/BF02829753
  5. Acta Appl. Math. v.73 no.3 Factorization of sums of polynomials S.-H. Kim https://doi.org/10.1023/A:1019770930906
  6. Commun. Korean Math. Soc. v.18 no.4 On a case of all pairs of polynomial zeros bad S.-H. Kim https://doi.org/10.4134/CKMS.2003.18.4.661
  7. Amer. Math. Monthly v.99 no.3 A sufficient condition for all the roots of a polynomial to be real D. C. Kurtz https://doi.org/10.2307/2325063