Charles R. JohnsonRafael Bru.The spectral radius of a product of nonnegative matrices.Linear Algebra and Its Applications. 1990R. Horn and C. R. Johnson, Matrix Analysis, Cambridge U.P., Cambridge, 1985. 2 C.R. Johnson and R. Bru, The spectral radius of a product of nonnegative ...
In this paper, we extend the well-known column sum bound of the spectral radius for nonnegative matrices to the tensor case, an upper bound of the spectral... W Li,MK Ng - 《Numerische Mathematik》 被引量: 33发表: 2015年 Two inequalities for the Hadamard product of matrices Using a es...
eigenspace of the spectral radius of nonnegative matrices, some new sufficient conditions for global exponential stability of impulsive delay model are obtained... D Xu,Z Yang - 《Journal of Mathematical Analysis & Applications》 被引量: 449发表: 2005年 Spectral Radius of Non-negative Matrices and...
Zhan. We show that for all n×n non-negative matrices A and B, ρ(AB)ρ((AA)(BB))1/2ρ(AB), in which represents the Hadamard product. 关键词: Spectral radius Hadamard product Non-negative matrix Matrix inequality DOI: 10.1016/j.laa.2009.08.017 被引量: 30 年份: 2010 ...
Spectral radius of Hadamard product versus conventional product for non-negative matrices Koenraad M. R. Audenaert Full-Text Cite this paper Add to My Lib Abstract: We prove an inequality for the spectral radius of products of non-negative matrices conjectured by X. Zhan. We show that for...
We show that for n3 the class of these matrices contains the normal matrices as a subclass.doi:10.1016/0024-3795(74)90076-7M.GoldbergandG.ZwasElsevier Inc.Linear Algebra and its ApplicationsM. Goldberg, G. Zwas, On matrices having equal spectral radius and spectral norm, Linear Algebra ...
MatricesOrder 2We provide explicit formulas for the joint spectral radius of certain classes of pairs of real matrices of order 2 with equal spectral radius.doi:10.1007/s10444-009-9130-yBernhard MnerSpringer USAdvances in Computational Mathematics...
The generalized spectral radiusg9(∑) of a set ∑ of n × n matrices is , where . The joint spectral radiusg9(∑) is , where . It is known that holds for any finite set ∑ of n × n matrices. The finiteness conjecture asserts that for any finite set ∑ of real n × n matric...
We prove upper bounds for the spectral radius ρ(G) of an n-vertex graph with given maximum degree and girth at least 2ℓ+1. This extends the previous result of [9] regarding graphs with girth at least five. When ℓ=3 or |V(G)| is relatively small compared with the maximum degr...
Li Ching, A bound on the spectral radius of matrices of zeros and ones, Linear Algebra Appl. 132 (1990) 179-183.L. Ching, A bound on the spectral radius of matrices of zeros and ones, Linear Algebra Appl. 132 (1990) 179-183.