In this paperwe investigate the spectrum and Drazin their pseudo spectral analogues, for linear relations between Banach spaces corresponding spectra, generalized Drazinmeromorphic pseudospectrum. More specifically, Drazin-meromorphic pseudospectrum a on space is studied. We also make several observations about level set of relations. Furthermore, it shown that has no isolated points, finite nu...

We consider a ψ-irreducible, discrete-time Markov chain on a general state space with transition kernel P . Under suitable conditions on the chain, kernels can be treated as bounded linear operators between spaces of functions or measures and the Drazin inverse of the kernel operator I−P exists. The Drazin inverse provides a unifying framework for objects governing the chain. This framework is ...

Consider the linear system of equations Bx =f, where B is an N x N singular matrix. In an earlier work by the author it was shown that iterative techniques coupled with standard vector extrapolation methods can be used to obtain or approximate a solution of this system when it is consistent. In the present work we expand on that approach to treat the case in which this system is in general inco...