Eigenvalue and Stability Analysis Eigenvector of Matrix A If A is a nonsingular matrix, as in this case, it is then possible to find a set of eigenvalues 2={41,2 5j5…N-1 from det(a-nD=0 For each eigenvalue /, we can evaluate the eigenvector v consisting of a set of mesh point values v,1.e N-1 SMA-HPC 2002 NUSSMA-HPC ©2002 NUS 9 Stability Analysis Eigenvalue and Eigenvector of Matrix A If A is a nonsingular matrix, as in this case, it is then possible to find a set of eigenvalues { 1 1 , ,...., ,...., λ = λ λ j λ − For each eigenvalue , we can evaluate the eigenvector consisting of a set of mesh point values , i.e. j j j i V v λ 1 1 Tj j j V N v v − =  from det ( A − λ 0. λ 2 N } 2 j v  I ) =