Accession Number:

ADA458941

Title:

Diagonal Representation of Certain Matrices

Descriptive Note:

Research rept.

Corporate Author:

YALE UNIV NEW HAVEN CT DEPT OF COMPUTER SCIENCE

Personal Author(s):

Report Date:

2004-12-21

Pagination or Media Count:

5.0

Abstract:

An explicit expression is provided for the characteristic polynomial of a matrix M of the form M D - 0 over baT abT over 0, where D is a diagonal matrix, and a and b are column vectors. Also, an explicit expression is provided for the matrix of normalized eigenvectors of M, in terms of the roots of the characteristic polynomial i.e., in terms of the eigenvalues of M.

Subject Categories:

  • Numerical Mathematics
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE