Accession Number : AD0650116

Title :   ALMOST DIAGONAL MATRICES WITH MULTIPLE OR CLOSE EIGENVALUES.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF COMPUTER SCIENCE

Personal Author(s) : Wilkinson,J. H.

Report Date : 03 APR 1967

Pagination or Media Count : 21

Abstract : If A = D + E where D is the matrix of diagonal elements of A, then when A has some multiple or very close eigenvalues E has certain characteristic properties. These properties are considered both for hermitian and non-hermitian A. The properties are important in connection with several algorithms for diagonalizing matrices by similarity transformations.

Descriptors :   (*MATRICES(MATHEMATICS), *TRANSFORMATIONS(MATHEMATICS)), ALGORITHMS, THEOREMS, INVARIANCE, CONVERGENCE, ITERATIONS, ERRORS, DIGITAL COMPUTERS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE