Results 311 to 313 of about 1,572,263 (313)

On a quadratic matrix equation associated with an M-matrix

IMA Journal of Numerical Analysis, 2003
The main purpose of this work is to study the quadratic matrix equation \( X^{2}-EX-F=0\) where \(E,F,X\in \mathbb{R}^{n\times n}\), \(E\) is diagonal and \(F\) is an \( M\)-matrix. The main approach that the authors are using for solving the above quadratic matrix equation, is by transforming it into an equation that belongs to a special class of non ...
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Block ILU Preconditioners for a Nonsymmetric Block-Tridiagonal M-Matrix

BIT Numerical Mathematics, 2000
The paper is directed to preconditioning linear equations that arise from finite difference methods or finite elements. It is assumed that the matrix elements outside of the diagonal blocks are not positive. The assumption holds for finite difference methods and for some finite element methods of lowest order. Comparison theorems for \(M\)-matrices can
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On the lower bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse M-matrix

2012
Abstract: In this study, for the minimum eigenvalue 1()AAτ− of the Hadamard product 1AA− of an M-matrix A and its inverse1A− are considered. Some new lower bounds on 1()AAτ− for the Hadamard product of A and 1A− are derived. These bounds improve the results found in [H.B. Li, T.Z. Huang, S.Q. Shen, and H. Li.
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