Accession Number : AD0642905

Title :   AN APPLICATION OF THE GENERAL THEORY OF APPROXIMATION METHODS TO THE STUDY OF THE PROBLEM OF DETERMINATION OF PROPER VALUES AND PROPER VECTORS.

Descriptive Note : Technical summary,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Troitskaya,E. A.

Report Date : JUL 1966

Pagination or Media Count : 14

Abstract : The proper (or characteristic) value-vector problem for a linear operator is formulated as a nonlinear equation in the product of a Banach space and its scalar field. The solution of this equation by Newton's method is considered, and the theorem of L. V. Kantorovic is applied to obtain sufficient conditions for convergence and error estimates. The problem of finite - dimensional approximation of an operator on a space of infinite dimension is also considered. (Author)

Descriptors :   (*APPROXIMATION(MATHEMATICS), *OPERATORS(MATHEMATICS)), MATRICES(MATHEMATICS), THEORY, FUNCTIONAL ANALYSIS, ITERATIONS, USSR

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE