NEWTON'S METHOD FOR CHARACTERISTIC VALUEVECTOR PROBLEMS.
Abstract
A general characteristic value-vector problem for linear operators in real Banach spaces is formulated as a nonlinear equation in the product space of the given space and the real scalar field. Newton's method and a modified form of Newton's method are investigated for the solution of this equation from the standpoints of theory and technique. An application is given to the case that the operator considered is a perturbation of one with known characteristic values and vectors. A method is presented for extending the results for real spaces to complex spaces. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1964
- Accession Number
- AD0605648
Entities
People
- Louis B. Rall
- P. M. Anselone
Organizations
- University of Wisconsin–Madison