Backward perturbation and sensitivity analysis of structured polynomial eigenomial eigenvalue problem

Abstract

The main theme of the thesis is structured perturbation and sensitivity analysis of structured polynomial eigenvalue problem Structured mapping problem naturally arises when analyzing structured backward per turbation of structured eigenvalue problem Given two matrices X and B of same size the structured mapping problem requires to Dnd a structuredquotquot matrix A if any having the small est norm such that AX B We provide a complete solution of structured mapping problem More generally w