Simples notes, 1° Sur la limite des racines ; 2° Sur un théorème de Cauchy ; 3° Sur une question de licence
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Abel Transon (1872)
Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale
Wolfgang M. Ruppert (1993)
Journal für die reine und angewandte Mathematik
Jerry L. Kazdan (2001)
The Teaching of Mathematics
Jorgen Cherly, Luis Gallardo, Leonid Vaserstein, Ethel Wheland (1998)
Publicacions Matemàtiques
We are concerned with solving polynomial equations over rings. More precisely, given a commutative domain A with 1 and a polynomial equation antn + ...+ a0 = 0 with coefficients ai in A, our problem is to find its roots in A.We show that when A = B[x] is a polynomial ring, our problem can be reduced to solving a finite sequence of polynomial equations over B. As an application of this reduction, we obtain a finite algorithm for solving a polynomial equation over A when A is F[x1, ..., xN] or F(x1,...
Michael Šebek (1983)
Kybernetika
Laguerre (1870)
Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale
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