On the first eigenvalue of bipartite graphs.
Bhattacharya, Amitava, Friedland, Shmuel, Peled, Uri N. (2008)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “Fixed points of two-sided fractional matrix transformations.”
On the first eigenvalue of bipartite graphs.
Cutpoints, lobes and the spectra of graphs
Grone, Robert, Merris, Russell (1988)
Portugaliae mathematica
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Simultaneous triangularization of commuting matrices for the solution of polynomial equations
Vanesa Cortés, Juan Peña, Tomas Sauer (2012)
Open Mathematics
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We present an extension of the QR method to simultaneously compute the joint eigenvalues of a finite family of commuting matrices. The problem is motivated by the task of finding solutions of a polynomial system. Several examples are included.
A refinement of an inequality of Johnson, Loewy and London on nonnegative matrices and some applications.
Laffey, Thomas J., Meehan, Eleanor (1998)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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The Sherman-Morrison formula and eigenvalues of a special bordered matrix.
Trenkler, G., Trenkler, D. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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Partial convergence and sign convergence of matrix powers via eigen c-ads.
Uhlig, Frank (1998)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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The combinatorial structure of eventually nonnegative matrices.
Naqvi, Sarah Carnochan, McDonald, Judith J. (2002)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Spectral graph theory and the inverse eigenvalue problem of a graph.
Hogben, Leslie (2005)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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A note on certain ergodicity coeflcients
Francesco Tudisco (2015)
Special Matrices
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We investigate two ergodicity coefficients ɸ ∥∥ and τn−1, originally introduced to bound the subdominant eigenvalues of nonnegative matrices. The former has been generalized to complex matrices in recent years and several properties for such generalized version have been shown so far.We provide a further result concerning the limit of its powers. Then we propose a generalization of the second coefficient τ n−1 and we show that, under mild conditions, it can be used to recast the eigenvector...
Strongly stable gyroscopic systems.
Lancaster, Peter (1999)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Kernels of directed graph Laplacians.
Caughman, J.S., Veerman, J.J.P. (2006)
The Electronic Journal of Combinatorics [electronic only]
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Perturbed spectra of defective matrices.
Konstantinov, Mihail, Mehrmann, Volker, Petkov, Petko (2003)
Journal of Applied Mathematics
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A Brauer’s theorem and related results
Rafael Bru, Rafael Cantó, Ricardo Soto, Ana Urbano (2012)
Open Mathematics
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Given a square matrix A, a Brauer’s theorem [Brauer A., Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices, Duke Math. J., 1952, 19(1), 75–91] shows how to modify one single eigenvalue of A via a rank-one perturbation without changing any of the remaining eigenvalues. Older and newer results can be considered in the framework of the above theorem. In this paper, we present its application to stabilization of control systems, including the case when...