منابع مشابه
New Criteria for H-matrices and Spectral Distribution
In this paper, based on the numerical relationship between row and column sums, an equivalent representation for double α1-matrices is given by partition of the row and column index sets. As its application, we obtain a subclass of H-matrices and the corresponding (Cassini-type) spectral distribution theorem. And then, we provide a numerical example to illustrates the effectiveness of the new r...
متن کاملA new non-parameter criterion for H-matrices
Recently, some iterative algorithms have been provided for identifying H-matrices, but most of these methods need to take an arbitrary parameter ε into account, and it seems hard and complicated to decide the optimum value of ε. In this paper, we propose an improved non-parameter algorithm, which is always convergent in finite iterative steps for H-matrices and needs fewer number of iterations ...
متن کاملA new iterative criterion for H-matrices: The reducible case
H-matrices appear in various areas of science and engineering and it is of vital importance to have an Algorithm to identify the H-matrix character of a certain matrix A ∈ Cn,n. Recently, the present authors have proposed a new iterative criterion (Algorithm AH) to completely identify the H-matrix property of an irreducible matrix. The present work extends the previous Algorithm to cover the re...
متن کاملNEW CRITERIA FOR FREENESS IN ABELIAN GROUPS . H ( i )
A new criterion is established for an abelian group to be free. The criterion is in terms of an ascending chain of free subgroups and is dependent upon a new class of torsion-free groups. The result leads to the construction, for each positive integer n, of a group G of cardinality K that is not free but is X -free. A conjecture in infinitary logic concern71 n ing free abelian groups is also ve...
متن کاملGeneralizations of Some Criteria for P-Matrices and M-Matrices
It is well known that the set of P-matrices includes several important classes of matrices such as M-matrices and positive definite matrices. P-matrices arize in various theoretical and applied fields, for example in linear complementarity theory [9], in the analysis of the solution set of systems of linear interval equations [6], in the study of convex sets of matrices [5]. The class of M-mati...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2005
ISSN: 0377-0427
DOI: 10.1016/j.cam.2004.10.017