11 a.m. - 11:50 a.m. Location: FN 2.102
Department of Applied Mathematics, Andhra University, INDIA
Qualitative properties of first order matrix systems involving kronecker product of matrices
In this talk we present a criteria for the existence and uniqueness of solution to Kronecker product initial value problems associated with general first order matrix differential/difference systems. A new approach is presented for solving a system of first order matrix systems given by the kronecker product of two matrices that present linear differential/difference equations of different orders. We discuss the Qualitative properties such as Stability, Controllability and Observability criteria for both continuous and discrete systems.
A modified least square method and a modified QR algorithm are developed to find the best least square solution of the Kronecker product of matrices. Using these methods as a tool the general solution of the Kronecker product initial value problem whose initial condition matrix is over determined/under determined is presented. Using the method developed by Ishey Haviv and oded Regev , on finding shortest vector problem, we present further the best least square solution. To boost the hardness factor we simply apply the standard Kronecker product or tensor product of lattices.
Coffee to be served in FN 2.102 at 10:30 AM.
Sponsored by the Department of Mathematical Sciences