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Weierstrass, K. (1891) Neuer Beweis des Satzes, dass jede ganze rationale Function einer Veranderlichen dargestellt werden kann als ein Product aus linearen Functionen derselben Veranderlichen. Sitzungsberichte der Königlich Preussischen Akademie der Wissenschaften zu Berlin.
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has been cited by the following article:

• TITLE: Method of Successive Polynomial Substitutions for Computing Roots of Polynomials

  AUTHORS: Serdar Beji

  KEYWORDS: Real and Complex Roots of Polynomials, Method of Successive Polynomial Substitutions, Accurate and Efficient Computation of Zeros of Polynomials

  JOURNAL NAME: Advances in Pure Mathematics, Vol.16 No.6, June 16, 2026

  ABSTRACT: A recursive technique, termed method of successive polynomial substitutions for computing all the real and complex roots of a polynomial of any given degree, is introduced. The method proceeds by reducing the degree of polynomial by one at each stage of successive polynomial substitutions; extracts a root, and continues until reaching a second-degree polynomial whose roots are obtained analytically. Coefficients of the polynomial may be real or complex; no initial guess is needed and the results are highly accurate. Sample computations for polynomials of various degrees and the code used in computations are given.