This paper deals with the existence of various types dual generalized inverses matrices. New and foundational results on necessary sufficient conditions for to exist are obtained. It is shown that unlike real matrices, matrices may not have {1}-dual inverses. A condition a matrix inverse always has {1}-, {1,3}-, {1,4}-, {1,2,3}-, {1,2,4}-dual if only it every {2}- {2,4}-dual inverse. Explicit e...

This paper extends the Meijer transformation, M, given by I /2K 2p f(t) (pt) (2 p)dt, (Mf) (p) (i+) 0 where f belongs to an appropriate function space, e (-1,) and K is the modified Bessel function of third kind of order , to certain generalized functions. A testing space is constructed so as to contain the (pt)/2K(2p), of the transformation. Some properties of the kernel, function space and it...

In a transport network scenario, Data Plane connections controlled by either a Generalized Multiprotocol Label Switching (GMPLS) Control Plane (Soft Permanent Connections SPC) or a Management System (Permanent Connections PC) may independently coexist. The ability of transforming an existing PC into an SPC and vice versa -without actually affecting Data Plane traffic being carried over it -is a...

In a transport network scenario, Data Plane connections controlled by either a Generalized Multiprotocol Label Switching (GMPLS) Control Plane (Soft Permanent Connections SPC) or a Management System (Permanent Connections PC) may independently coexist. The ability of transforming an existing PC into an SPC and vice versa -without actually affecting Data Plane traffic being carried over it -is a...

There exist two different versions of the Kullback-Leibler divergence (K-Ld) in Tsallis statistics, namely the usual generalized K-Ld and the generalized Bregman K-Ld. Problems have been encountered in trying to reconcile them. A condition for consistency between these two generalized K-Ld-forms by recourse to the additive duality of Tsallis statistics is derived. It is also shown that the usua...