NEWTON'S METHOD FOR CHARACTERISTIC VALUEVECTOR PROBLEMS.
Technical summary rept.
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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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