A matrix representation of composition of polynomial maps

Details A matrix representation of composition of polynomial maps A matrix representation of composition of polynomial maps

2009-01-21

arxiv.org/abs/0901.3179v3

Mathematics

Commutative Algebra

A need for the new version arose as far as the generalization of the Bombieri's inequality presented in the previous one turne

Scientific paper

In this paper polynomial maps are represented by the use of matrices whose entries are numbered by pair of multiindices and a new product of such matrices is introduced. A matrix representation of composition of polynomial maps is given. In the case of real and complex numbers different kind of norms of such matrices are introduced. Properties of these norms with respect to the ordinary and new products are investigated. A generalization of Bombieri's inequality is offered.

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