Accession Number:

AD0605648

Title:

NEWTON'S METHOD FOR CHARACTERISTIC VALUEVECTOR PROBLEMS.

Descriptive Note:

Technical summary rept.

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1964-06-01

Pagination or Media Count:

8.0

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. Newtons method and a modified form of Newtons 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

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE