Finiteness property of pairs of 2× 2 sign-matrices via real extremal polytope norms
暂无分享,去创建一个
[1] G. Rota,et al. A note on the joint spectral radius , 1960 .
[2] I. Daubechies,et al. Sets of Matrices All Infinite Products of Which Converge , 1992 .
[3] Yang Wang,et al. Bounded semigroups of matrices , 1992 .
[4] L. Elsner. The generalized spectral-radius theorem: An analytic-geometric proof , 1995 .
[5] J. Lagarias,et al. The finiteness conjecture for the generalized spectral radius of a set of matrices , 1995 .
[6] G. Gripenberg. COMPUTING THE JOINT SPECTRAL RADIUS , 1996 .
[7] John N. Tsitsiklis,et al. The Lyapunov exponent and joint spectral radius of pairs of matrices are hard—when not impossible—to compute and to approximate , 1997, Math. Control. Signals Syst..
[8] Mau-Hsiang Shih,et al. Asymptotic Stability and Generalized Gelfand Spectral Radius Formula , 1997 .
[9] Robert J. Vanderbei,et al. Linear Programming: Foundations and Extensions , 1998, Kluwer international series in operations research and management service.
[10] Mau-Hsiang Shih,et al. Simultaneous Schur stability , 1999 .
[11] Nicola Guglielmi,et al. On the asymptotic properties of a family of matrices , 2001 .
[12] Nicola Guglielmi,et al. On the zero-stability of variable stepsize multistep methods: the spectral radius approach , 2001, Numerische Mathematik.
[13] J. Mairesse,et al. Asymptotic height optimization for topical IFS, Tetris heaps, and the finiteness conjecture , 2001 .
[14] Vincent D. Blondel,et al. An Elementary Counterexample to the Finiteness Conjecture , 2002, SIAM J. Matrix Anal. Appl..
[15] Nicola Guglielmi,et al. Stability of one‐leg Θ‐methods for the variable coefficient pantograph equation on the quasi‐geometric mesh , 2003 .
[16] Fabian Wirth,et al. The generalized spectral radius is strictly increasing , 2005 .
[17] V. Protasov. The Geometric Approach for Computing the Joint Spectral Radius , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.
[18] Fabian R. Wirth,et al. Complex Polytope Extremality Results for Families of Matrices , 2005, SIAM J. Matrix Anal. Appl..
[19] N. Guglielmi,et al. Polytope norms and related algorithms for the computation of the joint spectral radius , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.
[20] V. Kozyakin. A Dynamical Systems Construction of a Counterexample to the Finiteness Conjecture , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.
[21] Y. Nesterov,et al. On the accuracy of the ellipsoid norm approximation of the joint spectral radius , 2005 .
[22] Vincent D. Blondel,et al. Computationally Efficient Approximations of the Joint Spectral Radius , 2005, SIAM J. Matrix Anal. Appl..
[23] Vincent D. Blondel,et al. On the Complexity of Computing the Capacity of Codes That Avoid Forbidden Difference Patterns , 2006, IEEE Transactions on Information Theory.
[24] Vincent D. Blondel,et al. On the finiteness property for rational matrices , 2007 .
[25] M. Zennaro,et al. Balanced Complex Polytopes and Related Vector and Matrix Norms , 2007 .
[26] Nicola Guglielmi,et al. An algorithm for finding extremal polytope norms of matrix families , 2008 .
[27] R. M. Jungers,et al. Counterexamples to the Complex Polytope Extremality Conjecture , 2009, SIAM J. Matrix Anal. Appl..
[28] R. Jungers. The Joint Spectral Radius: Theory and Applications , 2009 .