Accession Number : AD0763344

Title :   Generalized Lucas Polynomials and the Mth Power of an NxN Matrix.

Descriptive Note : Technical memo.,

Corporate Author : NAVAL UNDERWATER SYSTEMS CENTER NEWPORT R I

Personal Author(s) : Childs,Donald R.

Report Date : 29 JUN 1973

Pagination or Media Count : 13

Abstract : The difference equation which the generalized Lucas polynomials satisfy has the same coefficients as the Cayley-Hamilton equation for the NxN matrix for which the Lucas polynomials are associated. The generalized Lucas polynomials which are associated with an NxN matrix are found explicitly. With this knowledge, the Mth power of an NxN matrix can be expressed formally. (Author)

Descriptors :   (*MATRICES(MATHEMATICS), POLYNOMIALS), DIFFERENCE EQUATIONS, INTEGRAL TRANSFORMS, POWER SERIES, CONVERGENCE, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE