Accession Number : AD0621455

Title :   QUASILINEARIZATION, INVARIANT IMBEDDING, AND THE CALCULATION OF EIGENVALUES,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Bellman,Richard ; Kagiwada,Harriet ; Kalaba,Robert

Report Date : SEP 1965

Pagination or Media Count : 20

Abstract : Several eigenvalue problems for systems of ordinary differential equations are considered. They are resolved computationally using the quasilinearization technique, a quadratically convergent successive approximation scheme. The essential idea presented is to consider an eigenvalue problem to be a system identification problem. Also shown is the use of invariant imbedding techniques to obtain good initial estimates for eigenvalues in some neutron multiplication processes. (Author)

Descriptors :   (*NEUTRON TRANSPORT THEORY, INVARIANCE), (*BOUNDARY VALUE PROBLEMS, NEUTRON TRANSPORT THEORY), (*NUMERICAL ANALYSIS, BOUNDARY VALUE PROBLEMS), DIFFERENTIAL EQUATIONS, INTEGRAL EQUATIONS, SEQUENCES(MATHEMATICS), TRANSPORT PROPERTIES, ELECTROMAGNETIC RADIATION

Distribution Statement : APPROVED FOR PUBLIC RELEASE