Results 11 to 20 of about 66,958 (298)

Optimizing the Spectral Radius [PDF]

SIAM Journal on Matrix Analysis and Applications, 2013
We suggest a new approach to finding the maximal and the minimal spectral radii of linear operators from a given compact family of operators, which share a common invariant cone (e.g., family of no...
Yurii E. Nesterov, Vladimir Protasov
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Spectral Radius Formulas Involving Generalized Aluthge Transform

Journal of Function Spaces, 2022
In this paper, we aim to develop formulas of spectral radius for an operator S in terms of generalized Aluthge transform, numerical radius, iterated generalized Aluthge transform, and asymptotic behavior of powers of S.
Zhiqiang Zhang, Muhammad Saeed Akram, Javariya Hyder, Ghulam Farid, Tao Yan   +4 more
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A generalization of spectral radius, numerical radius, and spectral norm

Linear Algebra and its Applications, 1987
The author defines three quantities, \(\rho\) (A), r(A), and \(\| A\|\), as scalar functions of a matrix A. These are \(\ell_ p\) norms of tuples formed respectively from the eigenvalues of A, the diagonal of a unitary similarity of A (that is, \(UAU^*)\), and the diagonal of a matrix unitarily equivalent to A (that is, UAV), where U, V are to be ...
Li, Chi-Kwong
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Maps preserving spectral radius, numerical radius, spectral norm

The Electronic Journal of Linear Algebra, 2007
It was shown by \textit{S. Clark}, \textit{C.K. Li}, and \textit{A. Rastogi} [Bull. Aust. Math. Soc. 77, No.~1, 49--72 (2008; Zbl 1147.15001)] that under some restrictions every (possibly nonlinear) map \(f:M_{m\times n}\to M_{m\times n}\) on rectangular matrices, which is multiplicative with respect to Schur (= entrywise) product, is of the form \(f ...
Li, Chi-Kwong, Poon, Edward, Rastogi, Ashwin   +2 more
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The Ratios Between The Spectral Norm, The Numerical Radius And The Spectral Radius

World Academy of Science, Engineering and Technology, 2010
{"references": ["B. Beckermann, S. A. Goreinov, and E. E. Tyrtyshnikov. Some Remarks\non the Elman Estimate for GMRES. SIAM J. Matrix Anal. Appl.,\n27(3):772-778, 2006.", "L. Caston, M. Savova, I. Spitkovsky, and N. Zobin. On eigenvalues\nand boundary curvature of the numerical range. Linear Algebra Appl.,\n322(1-3):129-140, 2001.", "M. Eiermann and O.
Kui Du
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The spectral radius and the distance spectral radius of complements of block graphs

In this paper, we determine the graphs whose spectral radius and distance spectral radius attain maximum and minimum among all complements of clique trees. Furthermore, we also determine the graphs whose spectral radius and distance spectral radius attain minimum and maximum among all complements of block graphs, respectively.
Chen, Xu, Fan, Dongjun, Shao, Rongxiao, Wang, Guoping   +3 more
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Spectral radius of S-essential spectra

Математичні Студії, 2020
In this paper, we study the spectral radius of some S-essential spectra of a bounded linear operator defined on a Banach space. More precisely, via the concept of measure of noncompactness,we show that for any two bounded linear operators $T$ and $S ...
C. Belabbaci
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A spectral method for retrieving cloud optical thickness and effective radius from surface-based transmittance measurements [PDF]

Atmospheric Chemistry and Physics, 2011
We introduce a new spectral method for the retrieval of optical thickness and effective radius from cloud transmittance that relies on the spectral slope of the normalized transmittance between 1565 nm and 1634 nm, and on cloud transmittance at a visible
P. J. McBride, K. S. Schmidt, P. Pilewskie, A. S. Kittelman, D. E. Wolfe   +4 more
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On the distance α-spectral radius of a connected graph

Journal of Inequalities and Applications, 2020
For a connected graph G and α ∈ [ 0 , 1 ) $\alpha \in [0,1)$ , the distance α-spectral radius of G is the spectral radius of the matrix D α ( G ) $D_{\alpha }(G)$ defined as D α ( G ) = α T ( G ) + ( 1 − α ) D ( G ) $D_{\alpha }(G)=\alpha T(G)+(1-\alpha )
Haiyan Guo, Bo Zhou
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A sharp upper bound on the spectral radius of a nonnegative k-uniform tensor and its applications to (directed) hypergraphs

Journal of Inequalities and Applications, 2020
In this paper, we obtain a sharp upper bound on the spectral radius of a nonnegative k-uniform tensor and characterize when this bound is achieved. Furthermore, this result deduces the main result in [X. Duan and B.
Chuang Lv, Lihua You, Xiao-Dong Zhang
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