A matrix representation of composition of polynomial maps

التفاصيل البيبلوغرافية
العنوان: A matrix representation of composition of polynomial maps
المؤلفون: Bekbaev, Ural
سنة النشر: 2009
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Commutative Algebra, Mathematics - Dynamical Systems, 12Y05, 15A99
الوصف: 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.
Comment: 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
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/0901.3179
رقم الأكسشن: edsarx.0901.3179
قاعدة البيانات: arXiv