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Convex optimization of graph Laplacian eigenvalues
Graph theory Laplacian matrix Convex optimization Semidefinite pro-gramming Markov chain Distributed averaging Effective resistance
2015/8/10
We consider the problem of choosing the edge weights of an undirected graph so as to maximize or minimize some function of the eigenvalues of the associated Laplacian matrix, subject to some constrain...
Eigenvalues of the fractional Laplace operator in the interval
Eigenvalues fractional Laplace operator interval
2011/1/18
Two-term Weyl-type asymptotic law for the eigenvalues of one-dimensional fractional Laplace operator (−) /2 ( ∈ (0, 2)) in the interval (−1, 1) is given: the n-th eigenvalue is equal to ...
ASYMPTOTIC OF EIGENVALUES OF THE $p$-LAPLACE OPERATOR AND LATTICE POINTS
$p$-Laplacian eigenvalues lattice points
2007/12/12
In this work we study the spectral counting function for the $p$-Laplace operator in one dimension. We show the existence of a two-term Weyl-type asymptote. The method of proof is rather elementary, b...