Numerical Evaluation of Symmetric Polynomials
Journal of the ACM (JACM)
Algorithm 305: symmetric polynomial
Communications of the ACM
Algorithms 307: Symmetric group characters
Communications of the ACM
Algorithm 305: symmetric polynomial
Communications of the ACM
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Relations are given between certain symmetric polynomials in the light of the theory of the symmetric group. Such an approach unifies earlier work and lends insight to previously published work by Aaron Booker. A generalization of Graeffe's root-squaring technique for the determination of the roots of a polynomial is suggested.