Some applications of Schmüdgen's representation theorem
Thời gian: 15:00 đến 16:30 Ngày 27/03/2019
Địa điểm: C2-714, VIASM
Báo cáo viên: Lê Công Trình
Tóm tắt:In this talk I introduce a version of Schmüdgen's representation theorem for the algebra of polynomial matrices and give some applications of this theorem. Firstly, we give a representation for polynomial matrices positive definite on subsets of compact polyhedra. Then we establish a Putinar-Vasilescu Positivstellensatz for homogeneous and non-homogeneous polynomial matrices. Finally, we propose a matrix version of the Pólya -Putinar-Vasilescu Positivstellensatz.