Arnon Amir, Michael Lindenbaum
IEEE Transactions on Pattern Analysis and Machine Intelligence
We consider algebraic functions that are rational functions of roots (of various degrees) of rational functions of indeterminates. We associate a cost C(d) with the extraction of a dth root and assume that C satisfies certain natural axioms. We show that the minimum cost of computing a finite set of algebraic functions of the form considered is C(d1) + ... + C(dr), where d1...dr are the torsion orders of the Galois group of the extension generated by the functions. © 1981.
Arnon Amir, Michael Lindenbaum
IEEE Transactions on Pattern Analysis and Machine Intelligence
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