Accession Number : AD0673140

Title :   ON THE INERTIA OF SOME CLASSES OF PARTITIONED MATRICES.

Descriptive Note : Mathematical notes,

Corporate Author : BASEL UNIV (SWITZERLAND) MATHEMATICS INST

Personal Author(s) : Harnsworth,Emilie V. ; Ostrowski,Alexander M.

Report Date : AUG 1967

Pagination or Media Count : 26

Abstract : The paper is concerned with the determination of the inertia triple for certain partitioned Hermitian matrices. We make repeated use of the Sylvester-Hermite theorem that the inertia of an Hermitian matrix remains invariant under a cogredient transformation. That is, if K = P* HP, where P is a non-singular matrix and H is Hermitian, then K is also Hermitian, and In K = In H. (Author)

Descriptors :   (*MATRICES(MATHEMATICS), THEOREMS), TRANSFORMATIONS(MATHEMATICS), INVARIANCE, PERMUTATIONS, INEQUALITIES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE