Further results on the Craig-Sakamoto equation
John Maroulas · Electronic Journal of Linear Algebra · 2008
In this paper, necessary and sufficient conditions are stated for the Craig-Sakamoto equation det(I − sA − tB) = det(I − sA) det(I − tB) to hold for all scalars s, t ∈ C. Moreover, spectral properties for matrices A and B that satisfy this equation are investigated.