
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 SylvesterHermite theorem that the inertia of an Hermitian matrix remains invariant under a cogredient transformation. That is, if K = P* HP, where P is a nonsingular 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