منابع مشابه
Z{matrices and Inverse Z{matrices
We consider Z{matrices and inverse Z{matrices, i.e. those nonsingular matrices, whose inverse is a Z{matrix. Recently Fiedler and Markham introduced a classii-cation of Z{matrices. This classiication directly leads to a classiication of inverse Z{matrices. Among all classes of Z{matrices and inverse Z{matrices the classes of M{matrices, N 0 {matrices, F 0 {matrices and inverse M{matrices, inver...
متن کاملInverse Tridiagonal Z – Matrices
In this paper, we consider matrices whose inverses are tridiagonal Z–matrices. Based on a characterization of symmetric tridiagonal matrices by Gantmacher and Krein, we show that a matrix is the inverse of a tridiagonal Z–matrix if and only if, up to a positive scaling of the rows, it is the Hadamard product of a so called weak type D matrix and a flipped weak type D matrix whose parameters sat...
متن کاملMaier Matrices Beyond Z
This paper is an expanded version of a talk given at the 2007 Integers Conference, giving an overview of the Maier matrix method and surveying the author’s work in extending it beyond the integers.
متن کاملImprovements of two preconditioned AOR iterative methods for Z-matrices
In this paper, we propose two preconditioned AOR iterative methods to solve systems of linear equations whose coefficient matrices are Z-matrix. These methods can be considered as improvements of two previously presented ones in the literature. Finally some numerical experiments are given to show the effectiveness of the proposed preconditioners.
متن کاملIntervals of Certain Classes of Z-matrices
Let A and B be M -matrices satisfying A ≤ B and J = [A,B] be the set of all matrices C such that A ≤ C ≤ B, where the order is component wise. It is rather well known that if A is an M -matrix and B is an invertible M matrix and A ≤ B, then aA+ bB is an invertible M -matrix for all a, b > 0. In this article, we present an elementary proof of a stronger version of this result and study correspon...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1997
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(97)81111-1