2 papers
math.RA2026
Two absolutely bounded determinantal ratios
Hristo Sendov, Mengxu Yuan
Bounded ratios of products of minors of positive definite matrices have a long history, starting with Hadamard's inequality in 1893. It states that for every positive semidefinite…
math.RA2026
Aggregate Bounds on the eigenvalues of the principal submatrices of a Hermitian matrix and majorization relations
Hristo Sendov, Mengxu Yuan
We extend bounds, proved by R.C. Thompson in 1966, on the sum of the -th largest eigenvalues of the principal matrices of an Hermitian matrix.…