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The comparison of numerical methods for solving polynomial equations


Author: Aurél Galántai
Journal: Math. Comp. 32 (1978), 391-397
MSC: Primary 65H05; Secondary 65E05
DOI: https://doi.org/10.1090/S0025-5718-1978-0488698-X
MathSciNet review: 0488698
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Abstract: In this paper we compare the Turán process [5]-[6] with the Lehmer-Schur method [2]. We prove that the latter is better.


References [Enhancements On Off] (What's this?)

  • [1] G. COLLINS, "Computer algebra of polynomials and rational functions," Amer. Math. Monthly, v. 80, 1973, pp. 725-755. MR 0323750 (48:2106)
  • [2] D. H. LEHMER, "A machine method for solving polynomial equations," J. Assoc. Comput. Mach., v. 8, 1961, pp. 151-163.
  • [3] A. RALSTON, A First Course in Numerical Analysis, McGraw-Hill, New York, 1965. MR 0191070 (32:8479)
  • [4] F. SZIDAROVSZKY, Introduction to Numerical Methods (in Hungarian), Közgazdásági és Jogi Könyvkiadó, Budapest, 1974.
  • [5] P. TURÁN, "On the numerical solution of algebraic equations" (in Hungarian), MTA III, Osztály Közleményei, v. 18, 1968, pp. 223-235.
  • [6] P. TURÁN, "Power sum method and the approximative solution of algebraic equations," Math. Comp., v. 29, 1975, pp. 311-318. MR 0368413 (51:4654)

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1978-0488698-X
Article copyright: © Copyright 1978 American Mathematical Society

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