Accession Number:

AD0621455

Title:

QUASILINEARIZATION, INVARIANT IMBEDDING, AND THE CALCULATION OF EIGENVALUES,

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Personal Author(s):

• Bellman,Richard
• Kagiwada,Harriet
• Kalaba,Robert

Report Date:

1965-09-01

Pagination or Media Count:

20.0

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

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE