Articles
Eigendecomposition algorithms solving sequentially quadratic systems by Newton method
2009 Volume 1 Pages 40-43
Details
2009 Volume 1 Pages 40-43
In this paper, we design new algorithms for eigendecomposition. With the help of the Newton iterative method, we solve a nonlinear quadratic system whose solution is equal to an eigenvector on a hyperplane. By choosing normal vector of the hyperplane in the orthogonal complement of the space spanned by already obtained eigenvectors, all eigenpairs are sequentially obtained by solving the quadratic systems.
