Results 251 to 260 of about 1,095,836 (281)

The M-Matrix Group Generalized Inverse Problem for Weighted Trees

SIAM Journal on Matrix Analysis and Applications, 1998
Summary: 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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Some inverseM-matrix problems

Acta Mathematicae Applicatae Sinica, 2001
A nonnegative square matrix \(B\) is called a power invariant zero pattern matrix if it satisfies the condition that the \((i,j)\) entry of \(B^k\) is zero if and only if the \((i,j)\) entry of \(B\) is zero. In this paper the authors obtain an upper bound and a lower bound for \(\alpha_0\) such that \(\alpha I+B\in \mathcal M^{-1}\) for \(\alpha ...
Xiang, Shuhuang, You, Zhaoyong
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Lower Bound Estimation of the Minimum Eigenvalue of Hadamard Product of an M-Matrix and its Inverse

Bulletin of the Iranian Mathematical Society, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zeng, Wenlong, Liu, Jianzhou
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The inverse M-matrix completion study on omega tree

2012 International Conference on System Science and Engineering (ICSSE), 2012
The partial inverse M matrix completion is a part of the work of the inverse M matrix judgment. The partial matrices completions have been discussed widely. But the researches demand that the entries in diagonal positions of the matrices are all specified.
Nai Hua. Ji, Hui Ping. Yao
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A lower bound sequence for the minimum eigenvalue of Hadamard product of an $M$-matrix and its inverse

Czechoslovak Mathematical Journal, 2021
An \(n\times n\) real matrix \(A\) is called an \(M\)-matrix if \(A=sI-B\), where \(B=(b_{ij})\) with \(b_{ij}\ge 0\), for all \(1\le i,j\le n\), and \(s\ge\rho(B)\). Here \(\rho(B)\) is the spectral radius of \(B\). For nonsingular \(M\)-matrix \(A\), researchers have studied \(\tau(A\circ A^{-1})\), where \(\tau(X):=\min\{\mathrm{Re}\,\lambda:\lambda\
Zeng, Wenlong, Liu, Jianzhou
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On the Inverse M-Matrix Problem for Real Symmetric Positive-Definite Toeplitz Matrices

SIAM Journal on Matrix Analysis and Applications, 1991
An \(n\times n\) real matrix \(A\) is a non-singular \(M\)-matrix if it can be represented as \(A=sI-B\) where \(B\) is a non-negative matrix and \(s>\rho(B)\), \(\rho(B)\) being the special radius of \(B\). The authors give characterization of real symmetric positive definite (RSPD) matrices whose Cholesky factors are inverses of \(M\)-matrices and of
Koltracht, I., Neumann, M.
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Some new inequalities involving the Hadamard product of an M-matrix and its inverse

Acta Mathematicae Applicatae Sinica, English Series, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Feng, Zhao, Jian-xing, Li, Chao-qian   +2 more
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Lower bound for the eigenvalue of Hadamard product of an M-matrix and its inverse

2011 Chinese Control and Decision Conference (CCDC), 2011
A new lower bound for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse are given, The bound improves the results of the paper[5].
Lu Feilong, He Xiqin
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Fast Differentiable Matrix Square Root and Inverse Square Root

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2023
Yue Song, Niculae Sebe, Wei Wang
exaly