On generalized Hausdorff matrices

Generalized Hausdorff Matrices as Bounded Operators on ! p*

Size of Convergence Domains for Generalized Hausdorff Prime Matrices

The convergence domain of an infinite matrix A ank n, k 0, 1, . . . will be denoted by A and is defined by A : {x {xn} | An x ∈ c}, where c denotes the space of convergence sequences, An x : ∑ k ankxk. The necessary and sufficient conditions of Silverman and Toeplitz for a matrix to be conservative are limnank ak exists for each k, limn ∑∞ k 0 ank t exists, and ||A|| : supn ∑∞ k 0 |ank| < ∞. A ...

GENERALIZED REGULAR FUZZY MATRICES

In this paper, the concept of k-regular fuzzy matrix as a general- ization of regular matrix is introduced and some basic properties of a k-regular fuzzy matrix are derived. This leads to the characterization of a matrix for which the regularity index and the index are identical. Further the relation between regular, k-regular and regularity of powers of fuzzy matrices are dis- cussed.

On Generalized Transitive Matrices

Transitivity of generalized fuzzy matrices over a special type of semiring is considered. The semiring is called incline algebra which generalizes Boolean algebra, fuzzy algebra, and distributive lattice. This paper studies the transitive incline matrices in detail. The transitive closure of an incline matrix is studied, and the convergence for powers of transitive incline matrices is considere...

On generalized quadratic matrices

Abstract Extending an approach considered by Radjawi and Rosenthal (2002), we investigate the set of square matrices whose square equals a linear combination of the matrix itself and an idempotent matrix. Special attention is paid to the Moore-Penrose and group inverse of matrices belonging to this set. References: Radjavi, H. and P. Rosenthal (2002). On commutators of idempotents. Linear and M...