论文信息 - A characterization of the generalized spectral radius with Kronecker powers

A characterization of the generalized spectral radius with Kronecker powers

Based on Turan's power sum theory, we extend a recent result obtained by Blondel and Nesterov [Blondel, V. D., & Nesterov, Y. (2005). Computationally efficient approximations of the joint spectral radius, SIAM Journal on Matrix Analysis and Applications, 27, 256-272], by deriving a new characterization of the generalized spectral radius in terms of Kronecker powers.

Mingqing Xiao | Jianhong Xu | M. Xiao | Jianhong Xu

[1] V. Sós,et al. On some new theorems in the theory of diophantine approximations , 1955 .

[2] V. Protasov,et al. Fractal curves and wavelets , 2006 .

[3] Paul Turán,et al. On a new method of analysis and its applications , 1984 .

[4] Nicola Guglielmi,et al. On the zero-stability of variable stepsize multistep methods: the spectral radius approach , 2001, Numerische Mathematik.

[5] Xinlong Zhou,et al. Characterization of joint spectral radius via trace , 2000 .

[6] Alexander Graham,et al. Kronecker Products and Matrix Calculus: With Applications , 1981 .

[7] Vincent D. Blondel,et al. Computationally Efficient Approximations of the Joint Spectral Radius , 2005, SIAM J. Matrix Anal. Appl..

[8] Xiongping Dai,et al. Almost Sure Stability of Discrete-Time Switched Linear Systems: A Topological Point of View , 2008, SIAM J. Control. Optim..

[9] V. Kozyakin. Structure of extremal trajectories of discrete linear systems and the finiteness conjecture , 2007 .

[10] Charles R. Johnson,et al. Topics in Matrix Analysis , 1991 .

[11] Yang Wang,et al. Bounded semigroups of matrices , 1992 .

[12] I. Daubechies,et al. Sets of Matrices All Infinite Products of Which Converge , 1992 .

[13] R. Jungers. The Joint Spectral Radius: Theory and Applications , 2009 .

[14] P. Siegel,et al. On codes with local joint constraints , 2007 .