Let 𝒜 be a Banach algebra. An element a ∈ 𝒜 has the generalized Zhou inverse if there exists b ∈ 𝒜 such that b = bab, ab = ba, aⁿ − ab ∈ J#(𝒜), f or some n ∈ ℕ. We find some new conditions under ...

Procedures for calculating the additive genetic variance-covariance matrix and its inverse are adapted to accommodate the occurrence of mutations in the genome. The inverse matrix can be used in mixed ...