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Preconditioned AOR Iterative Method for M-Matrix
2013 Ninth International Conference on Computational Intelligence and Security, 2013In this paper, we propose a new selection mode of 'r, t' for the preconditioner I+C and analyze the convergence performance of the preconditioned AOR iterative method induced by this preconditioner. For a nonsingular M-matrix, we show that the preconditioned AOR iterative method with this choice and the preconditioned methods advised by Evans et al ...
Qiufang Xue, Xingbao Gao, Xiaoguang Liu
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Accurate Numerical Solution for Shifted M-Matrix Algebraic Riccati Equations
Journal of Scientific Computing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Changli Liu, Jungong Xue, Ren-Cang Li
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Convergence of SSOR multisplitting method for an M-matrix
Journal of Applied Mathematics and Computing, 2007The authors consider the multisplitting method and the relaxed multisplitting method for solving a linear system of equations with a large sparse \(M\)-matrix. They prove convergence results for both classes of methods under appropriate assumptions on the relaxation parameters.
Yun, Jae Heon, Han, Yu Du, Oh, Seyoung
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Communications in Theoretical Physics, 1991
We discuss the relations between the K–M matrix and the masses of the quarks and leptons in the case of four generations, and give the exact expression of the K–M matrix in terms of the masses of quarks and leptons. The requirement that the theoretical and experimental values of the K–M ,matrix are consistent leads to an allowed range of quark masses ...
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We discuss the relations between the K–M matrix and the masses of the quarks and leptons in the case of four generations, and give the exact expression of the K–M matrix in terms of the masses of quarks and leptons. The requirement that the theoretical and experimental values of the K–M ,matrix are consistent leads to an allowed range of quark masses ...
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1989
We now proceed to consider some main properties of M-matrices. They are of general interest, and besides they bear some direct relationship to discretization methods as will be seen later on. Referring to the literature, we shall omit the proofs, which are far from being elementary.
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We now proceed to consider some main properties of M-matrices. They are of general interest, and besides they bear some direct relationship to discretization methods as will be seen later on. Referring to the literature, we shall omit the proofs, which are far from being elementary.
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Computing the Smallest Eigenvalue of an M-Matrix
SIAM Journal on Matrix Analysis and Applications, 1996A computation of the smallest eigenvalue and the corresponding eigenvector of an irreducible nonsingular \(\text{M}\)-matrix \(A\) is considered. Section 2 introduces some lemmas for M-matrices. Sections 3 and 4 discuss perturbation theory for the eigenvalues and for each component of the corresponding eigenvector.
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The M-Matrix Group Generalized Inverse Problem for Weighted Trees
SIAM Journal on Matrix Analysis and Applications, 1998Summary: We characterize all weighted trees whose Laplacian has a group inverse which is an M-matrix. Actually, only a very narrow set of weighted trees yields such Laplacians. Our investigation involves analyzing circumstances under which a certain Z-matrix, derived from the tree and whose order is one less than the number of vertices in the tree, is ...
Kirkland, Stephen J., Neumann, Michael
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Highly accurate doubling algorithms for M-matrix algebraic Riccati equations
Numerische Mathematik, 2016This is about the minimal solution of the \(M\)-matrix algebraic Riccati equation (MARE) \(XDX - AX - XB + C = 0\), where \[ W=\begin{bmatrix} B & -D\\-C&A\end{bmatrix} \] is a nonsingular or an irreducible singular \(M\)-matrix. If an \(M\)-matrix \(S\) has a triplet representation \((N_S,u,v)\) with \(N_S=\mathrm{diag}(S)-S\), \(u>0\), and \(v=Su\geq
Xue, Jungong, Li, Ren-Cang
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PSD estimation in beamspace using property of M-matrix
2016 IEEE International Workshop on Acoustic Signal Enhancement (IWAENC), 2016Microphone array Wiener filtering has been studied for practical sound source enhancement in noisy environments. In our previous work, the power spectral density (PSD)-estimation-in-beamspace method was proposed for estimating PSDs of target sources and surrounding noises. Assuming that source signals are uncorrelated with each other, the relationships
Kenta Niwa +3 more
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2017
As mentioned in the previous chapter, modern finite difference schemes must (i) be at least of second order of approximation in all independent variables; (ii) be unconditionally stable; (iii) preserve nonnegativity of the solution. To achieve these goals, it became a common practice to involve a special apparatus of matrix theory that operates with so-
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As mentioned in the previous chapter, modern finite difference schemes must (i) be at least of second order of approximation in all independent variables; (ii) be unconditionally stable; (iii) preserve nonnegativity of the solution. To achieve these goals, it became a common practice to involve a special apparatus of matrix theory that operates with so-
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