How does matlabs eigs normalise eigenvectors?
显示 更早的评论
In solving the generalised eigenvalue problem Ax=cBx using eig, one gets V and D as outputs where V is the eigenvectors corresponding to the eigenvalues contained in the main diagonal of D. My question is how does matlab normalise these eigenvectors?
In the case of the problem Ax=cx the documentation states 'The eigenvectors in V are normalized so that the 2-norm of each is 1' but for the generalised form 'The 2-norm of each eigenvector is not necessarily 1' (not helpful).
采纳的回答
Christine Tobler
2018-3-2
0 个投票
If the matrix B is symmetric positive definite, the eigenvectors are normalized in B-norm (and even orthogonal in B-norm if A is also symmetric). If B is not symmetric positive definite, the 2-norm of each eigenvector is 1, but they will not typically be orthonormal.
更多回答（0 个）
类别
在 帮助中心 和 File Exchange 中查找有关 Linear Algebra 的更多信息
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
Translated by 
