Functions of operators and the spectral radius

作者: Vlastimil Pták , N.J. Young

DOI: 10.1016/0024-3795(80)90250-5

关键词:

摘要: Abstract This paper contains a connected account of results concerning the maximum problem raised by first-named author in [21] and its generalizations. For number simplified proofs are given, new estimates obtained, important connections with stability theory classical function pointed out.

参考文章(22)
Lawrence A. Harris, Bounded symmetric homogeneous domains in infinite dimensional spaces Springer Berlin Heidelberg. pp. 13- 40 ,(1974) , 10.1007/BFB0069002
S. Barnett, H. H. Robertson, C. Storey, Matrix methods in stability theory ,(1970)
Donald Sarason, Generalized interpolation in Transactions of the American Mathematical Society. ,vol. 127, pp. 179- 203 ,(1967) , 10.1090/S0002-9947-1967-0208383-8
N.J Young, An identity which implies Cohn's theorem on the zeros of a polynomial Journal of Mathematical Analysis and Applications. ,vol. 70, pp. 240- 248 ,(1979) , 10.1016/0022-247X(79)90087-8
N. J. Young, Analytic Programmes in Matrix Algebras Proceedings of the London Mathematical Society. ,vol. s3-36, pp. 226- 242 ,(1978) , 10.1112/PLMS/S3-36.2.226
N. J. YOUNG, Formulae for the solution of Lyapunov matrix equations International Journal of Control. ,vol. 31, pp. 159- 179 ,(1980) , 10.1080/00207178008961035
James D. Stafney, Functions of a matrix and their norms Linear Algebra and its Applications. ,vol. 20, pp. 87- 94 ,(1978) , 10.1016/0024-3795(78)90033-2
Vlastimil Pták, Spectral radius, norms of iterates, and the critical exponent Linear Algebra and its Applications. ,vol. 1, pp. 245- 260 ,(1968) , 10.1016/0024-3795(68)90006-2
Harley Flanders, On the Norm and Spectral Radius Linear & Multilinear Algebra. ,vol. 2, pp. 239- 240 ,(1974) , 10.1080/03081087408817064
M. Goldberg, G. Zwas, On matrices having equal spectral radius and spectral norm Linear Algebra and its Applications. ,vol. 8, pp. 427- 434 ,(1974) , 10.1016/0024-3795(74)90076-7