Abstract
AbstractIn this paper, we study positive stability and D-stability of P-matrices.We introduce the property of Dθ-stability, i.e., the stability with respect to a given order θ. For an n × n P-matrix A, we prove a new criterion of D-stability and Dθ-stability, based on the properties of matrix scalings.
Subject
Geometry and Topology,Algebra and Number Theory
Reference15 articles.
1. A class of positive stable matrices Standards Sect;Carlson;Res Nat Bur,1974
2. On the stabilization of matrices and the convergence of linear iterative processes Cambridge Philos;Fisher;Proc Soc,1958
3. On the spectra of matrices having nonnegative sums of principal minors Linear;Hershkowitz;Algebra Appl,1983
4. Spectra of matrices with matrix powers Linear;Hershkowitz;Algebra Appl,1986
5. A note on dynamical stability;Arrow;Econometrica,1958
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献