Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

WORST CASES OF POLYNOMIAL ZEROS BAD

  • Kim, Seon-Hong (Department of Mathematics College of Natural Science Chosun University)
  • Published : 2004.07.01
Download PDF
⟨ Previous Next ⟩

Abstract

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.

Keywords

References

  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