Accession Number:

AD0633718

Title:

THE GENERALIZED CAYLEY-HAMILTON THEOREM IN N DIMENSIONS

Descriptive Note:

Technical rept.

Corporate Author:

BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS

Personal Author(s):

• Lew, John S.

Report Date:

1965-03-04

Pagination or Media Count:

12.0

Abstract:

For any positive integer n, this paper derives the explicit form of the identity in n matrices, each nxn, which is obtained by complete polarization of the usual CayleyHamilton theorem, and which is used repeatedly, for n 2 or 3, in the determination of an integrity basis for symmetric tensors.

Descriptors:

• *MATRICES(MATHEMATICS)
• *THEOREMS
• IDENTITIES
• POLYNOMIALS
• TENSOR ANALYSIS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE