Topics in matrix analysis
SIAM Journal on Matrix Analysis and Applications
Stability criteria for matrices
Automatica (Journal of IFAC)
Brief paper: Lyapunov functions for diagonally dominant systems
Automatica (Journal of IFAC)
Distributed strategies for making a digraph weight-balanced
Allerton'09 Proceedings of the 47th annual Allerton conference on Communication, control, and computing
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Diagonally equipotent matrices are diagonally dominant matrices for which dominance is never strict in any coordinate. They appear e.g. as Laplacian matrices of signed graphs. We show in this paper that for this class of matrices it is possible to provide a complete characterization of the stability properties based only on the signs of the entries of the matrices.