Results 11 to 20 of about 1,396,823 (294)
On Markham's M-matrix properties
Linear Algebra and its Applications, 1987 AbstractIf A is an n×n irreducible singular M-matrix where n > 1, it is shown that there is no positive integer m such that Am is triangular. Related results are proven for those matrices PAPt where A is a reducible singular M-matrix and P is a particular permutation matrix and for certain N0-matrices.
Ronald L. Smith
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The symmetric M-matrix and symmetric inverse M-matrix completion problems
Linear Algebra and its Applications, 2002 AbstractThe symmetric M-matrix and symmetric M0-matrix completion problems are solved and results of Johnson and Smith [Linear Algebra Appl. 290 (1999) 193] are extended to solve the symmetric inverse M-matrix completion problem: (1)A pattern (i.e., a list of positions in an n×n matrix) has symmetric M-completion (i.e., every partial symmetric M-matrix
Leslie Hogben
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On the preconditioned GAOR method for a linear complementarity problem with an M-matrix. [PDF]
J Inequal Appl, 2018 Recently, based on the Hadjidimos preconditioner, a preconditioned GAOR method was proposed for solving the linear complementarity problem (Liu and Li in East Asian J. Appl. Math. 2:94-107, 2012). In this paper, we propose a new preconditioned GAOR method for solving the linear complementarity problem with an M-matrix.
Miao SX, Zhang D.
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A faster algorithm for identification of an M-Matrix
ANZIAM Journal, 2005 M-matrices are important in the consideration of rates of convergence of iterative methods for solving large systems of equations and are applicable in areas such as input-output systems in economic modelling, queuing theory, and engineering. The usual definition of an M-matrix has, among other requirements, that it must be non-singular and its inverse
Robert Wood, M. J. O'Neill
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New inequalities for the Hadamard product of an M-matrix and an inverse M-matrix [PDF]
Journal of Inequalities and Applications, 2015 Let A and B be nonsingular M-matrices. Some new convergent sequences of the lower bounds of the minimum eigenvalue $\tau(B\circ A^{-1})$ for the Hadamard product of B and
Feng Wang, Caili Sang, Jianxing Zhao
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Some inequalities for the Hadamard product of an M-matrix and an inverse M-matrix [PDF]
Journal of Inequalities and Applications, 2013 Abstract Let A and B be nonsingular M-matrices. Some new lower bounds on the minimum eigenvalue q ( A ∘ B − 1 )
Xiangyun Zhang +3 more
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Inverse M-matrix, a new characterization [PDF]
Linear Algebra and its Applications, 2020 In this article we present a new characterization of inverse M-matrices, inverse row diagonally dominant M-matrices and inverse row and column diagonally dominant M-matrices, based on the positivity of certain inner products.
Claude Dellacherie +2 more
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The effective potential of an M-matrix [PDF]
Journal of Mathematical Physics, 2021 In the presence of a confining potential V, the eigenfunctions of a continuous Schrödinger operator −Δ + V decay exponentially with the rate governed by the part of V, which is above the corresponding eigenvalue; this can be quantified by a method of Agmon.
Marcel Filoche +2 more
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Some inequalities for the minimum eigenvalue of the Hadamard product of an M-matrix and an inverse M-matrix [PDF]
Journal of Inequalities and Applications, 2015 Several convergent sequences of the lower bounds of the minimum eigenvalue for the Hadamard product of an M-matrix and an inverse M-matrix are given. Numerical examples show that these sequences could reach the true value of the minimum eigenvalue in some cases. These bounds in this paper improve some existing results.
Feng Wang, Caili Sang, Jianxing Zhao
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An inequality for the hadamard product of an M-matrix and an inverse M-matrix
Linear Algebra and its Applications, 1988 AbstractAn estimate from below the smallest eigenvalue q(A∘C) of the Hadamard product A∘C of an M-matrix A and an inverse M-matrix C is proved. In particular, if A is an M-matrix of order n, we obtain the inequality q(A∘A−1)⩾1⧸n.
Thomas L. Markham +2 more
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