Title :
An iteration scheme for dominant singular values
Author :
Bar-on, J.R. ; Gray, C.W.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Oklahoma Univ., Norman, OK, USA
Abstract :
An iteration method is presented for determining the largest singular value (2-norm) of a matrix, and its corresponding singular vectors. Connections with the power method and Bernoulli´s method are presented. A formula is derived which describes the relationship between a matrix perturbation and the perturbation of its singular values
Keywords :
eigenvalues and eigenfunctions; iterative methods; matrix algebra; perturbation techniques; polynomials; 2-norm; Bernoulli´s method; dominant singular values; iteration scheme; largest singular value; matrix perturbation; power method; Aerospace control; Aerospace engineering; Cellular neural networks; Control systems; Convergence; Eigenvalues and eigenfunctions; H infinity control; Iterative methods; Sparse matrices; Symmetric matrices;
Conference_Titel :
Computer-Aided Control System Design, 1992. (CACSD), 1992 IEEE Symposium on
Conference_Location :
Napa, CA
DOI :
10.1109/CACSD.1992.274430
