Some classes of matrix transforms of summability domains of normal matrices | Zendy

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Some classes of matrix transforms of summability domains of normal matrices

Author(s) -

Ants Aasm

Publication year - 2012

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1205023a

Subject(s) - mathematics , normal matrix , domain (mathematical analysis) , matrix (chemical analysis) , triangular matrix , class (philosophy) , pure mathematics , combinatorics , mathematical analysis , eigenvalues and eigenvectors , physics , materials science , quantum mechanics , invertible matrix , artificial intelligence , computer science , composite material

Let A; B and M be matrices with real or complex entries. In this paper two classes of matrices M, transforming the summability domain of A into the summability domain of B, are characterized. The M-consistency of A and B on the summability domain of A for a triangular matrix A and a regular matrix B is considered. As an application of the main results of this paper one class of matrices M; transforming the summability domain of A into the summability domain of B in the special case if B is the Ces` aro matrix and A is a normal matrix, is described.

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