2009/01/21 by Ural Bekbaev, Bekbaev, Ural · 1 citation
Engineering · Mathematics · #12Y05 #15A99 #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Commutative Algebra (math.AC) #Control and Dynamics of Mobile Robots #Dynamical Systems (math.DS) #FOS: Mathematics #math.AC #math.DS #msc:12Y05 #msc:15A99
paper · pdf · doi:10.48550/arxiv.0901.3179
A need for the new version arose as far as the generalization of the Bombieri's inequality presented in the previous one turned out to be wrong
openalex publication_date 2009/01/21 · arxiv created 2009/09/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.