is hermitian and invertible (note that BL is never positive (or negative) definite except for the
trivial case when l= 1 and Al is positive (or negative) definite). Hence the properties of …

In the past 50 or 60 years, developments in mathematics have led to innovations in linear
algebra and matrix theory. This progress was often initiated by topics and problems from …

Group representations and matrix spectral problems<xref ref-type='fn' rid='FN0001'> <sup>∗</sup
Page 1 lmeor and Lfulirlinear Alqebra, Vol. 46, pp. 1-23 Reprints avdllable direcrl) from the …

Let A∊ Mn B∊ Mm and λ∊ C be given. We say that X∊ Mn, m is λ-neutral for A and B if the
Jordan structure of associated with λ is the same as that of We characterize λ-neutrality in …

Let A ϵ M n, B ϵ M m, and λ ϵ C be given. For X ϵ M n, m we seek to determine the Jordan
structure of M= AXOB associated with λ in terms of the Jordan structure of A and B …

The aim of this paper is to study systematically invariant subspaces of finitedimensional
nilpotent operators. Our main motivation comes from classifying the similarity orbit in …

Let λ^ α _n| λ^ α _ n-1|...| λ^ α _2| λ^ α _1, resp. λ^ β _n| λ^ β _ n-1|...| λ^ β _2| λ^ β _1 be the
(given) invariant factors of the square matrices A, resp. B of order n over the ring of germs of …

1. INTRODUCTION. Let R be a commutative principal ideal domain, and A an nxn matrix
over R. For brevity, we call a matrix with entries in R an integral matrix. It is well known, see …

We study divide and conquer method to compute eigenstructure of matrices with
quasiseparable representation. In order to find the eigenstructure of a large matrix A we …

Abstract In [4] I. Gohberg and MA Kaashoek formulated the question how the partial
multiplicities of the product AB of two holomorphic matrix (or operator) functions are related …