Lyapunov diagonal semistability of acyclic matrices
- 1 February 1988
- journal article
- research article
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 22 (3), 267-283
- https://doi.org/10.1080/03081088808817839
Abstract
It is shown that an acyclic matrix is Lyapunov diagonally semistable if and only if the matrix has the weak principal submatrix rank property. This result completes the solution of the problem of characterizing the various types of matrix stability for acyclic matrices. Also, those acyclic matrices which have a unique Lyapunov scaling factor are characterized.Keywords
This publication has 6 references indexed in Scilit:
- Stability of acyclic matricesLinear Algebra and its Applications, 1986
- Lyapunov diagonal semistability of real H-matricesLinear Algebra and its Applications, 1985
- Scalings of vector spaces and the uniqueness of lyapunov scaling factorsLinear and Multilinear Algebra, 1985
- Characterization of acyclic d-stable matricesLinear Algebra and its Applications, 1984
- Matrix Diagonal Stability and Its ImplicationsSIAM Journal on Algebraic Discrete Methods, 1983
- A L P S: Matrices with nonpositive off-diagonal entriesLinear Algebra and its Applications, 1978