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Currently displaying 1 – 11 of 11

Order by Relevance | Title | Year of publication

Subdirect sums of doubly diagonally dominant matrices.

Zhu, Yan; Huang, Ting-Zhu — 2007

ELA. The Electronic Journal of Linear Algebra [electronic only]

On symmetric matrices with exactly one positive eigenvalue.

Shen, Shu-Qian; Huang, Ting-Zhu — 2010

ELA. The Electronic Journal of Linear Algebra [electronic only]

Inequalities for the minimum eigenvalue of $M$ -matrices.

Tian, Gui-Xian; Huang, Ting-Zhu — 2010

ELA. The Electronic Journal of Linear Algebra [electronic only]

A note on estimates for the spectral radius of a nonnegative matrix.

Yang, Shi-Ming; Huang, Ting-Zhu — 2005

ELA. The Electronic Journal of Linear Algebra [electronic only]

A weak regular splitting for singular linear systems.

Cheng, Guang-Hui; Huang, Ting-Zhu — 2008

Applied Mathematics E-Notes [electronic only]

Regions containing eigenvalues of a matrix.

Huang, Ting-Zhu; Zhang, Wei; Shen, Shu-Qian — 2006

ELA. The Electronic Journal of Linear Algebra [electronic only]

Preconditioned diagonally dominant property for linear systems with $H$ -matrices.

Wang, Xue Zhong; Huang, Ting Zhu; Fu, Ying Ding — 2006

Applied Mathematics E-Notes [electronic only]

Some new results on determinantal inequalities and applications.

Li, Hou-Biao; Huang, Ting-Zhu; Li, Hong — 2010

Journal of Inequalities and Applications [electronic only]

A note on generalized Perron complements of $Z$ -matrices.

Ren, Zhi-Gang; Huang, Ting-Zhu; Cheng, Xiao-Yu — 2006

ELA. The Electronic Journal of Linear Algebra [electronic only]

Some bounds for the spectral radius of the Hadamard product of matrices.

Cheng, Guang-Hui; Cheng, Xiao-Yu; Huang, Ting-Zhu; Tam, Tin-Yau — 2005

Applied Mathematics E-Notes [electronic only]

Bounds for the (Laplacian) spectral radius of graphs with parameter $α$

Gui-Xian Tian; Ting-Zhu Huang — 2012

Czechoslovak Mathematical Journal

Let $G$ be a simple connected graph of order $n$ with degree sequence $(d_{1}, d_{2}, ..., d_{n})$ . Denote ${(^{α} t)}_{i} = \sum_{j : i \sim j} d_{j}^{α}$ , ${(^{α} m)}_{i} = {(^{α} t)}_{i} / d_{i}^{α}$ and ${(^{α} N)}_{i} = \sum_{j : i \sim j} {(^{α} t)}_{j}$ , where $α$ is a real number. Denote by $λ_{1} (G)$ and $μ_{1} (G)$ the spectral radius of the adjacency matrix and the Laplacian matrix of $G$ , respectively. In this paper, we present some upper and lower bounds of $λ_{1} (G)$ and $μ_{1} (G)$ in terms of ${(^{α} t)}_{i}$ , ${(^{α} m)}_{i}$ and ${(^{α} N)}_{i}$ . Furthermore, we also characterize some extreme graphs which attain these upper bounds. These results theoretically improve and generalize some known results.

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