On the local diffeomorphism and submanifolds of matrices with fixed Jordan block structure
A. A. Bondar’, Yakov Dymarskii · Operators and Matrices · 2014
In this paper a local diffeomorphism, which allows to investigate different matrix submanifolds is introduced. With its help the submanifold of complex matrices with fixed structure of Jordan blocks is described. Then, explicit formulas of some special perturbations of Jordan structure are given.