References
- Brauer , A. and Gentry , I.C. 1974 . Bounds for the greatest characteristic root of an irreducible nonnegative matrix . Linear Algebra Appl. , 8 : 105 – 107 .
- Brauer , A. and Gentry , I.C. 1976 . Bounds for the greatest characteristic root of an irreducible nonnegative matrix II . Linear Algebra Appl. , 13 : 109 – 114 .
- Chen , M.Q. and Li , X.Z. 2004 . An estimation of the spectral radius of a product of block matrices . Linear Algebra Appl. , 379 : 267 – 275 .
- Elaydi , S. 2005 . An Introduction to Differential Equations , New York : Springer .
- Flanders , H. 1974 . On the norm and spectral radius . Linear Multilinear Algebra , 2 : 239 – 240 .
- Hall , C.A. and Porsching , T.A. 1969 . Bounds for the maximal eigenvalue of a nonnegative irreducible matrix . Duke Math. J. , 36 : 159 – 164 .
- Hu , G.D. and Hu , G.D. 2000 . A relation between the weighted logarithmic norm of matrix and Lyapunov equation . BIT , 40 : 506 – 510 .
- Hu , G.D. and Liu , M.Z. 2004 . The weighted logarithmic matrix norm and bounds of the matrix exponential . Linear Algebra Appl. , 390 : 145 – 154 .
- Hu , G.D. and Liu , M.Z. 2008 . Properties of the weighted logarithmic matrix norms . IMA J. Math. Control Inform. , 25 : 75 – 84 .
- Huang , T.H. and Ran , R.S. 2005 . A simple estimation for the spectral radius of (block) H-matrices . J. Comput. Appl. Math. , 177 : 455 – 459 .
- Lancaster , P. 1985 . The Theory of Matrices with Application , Orlando (FL) : Academic Press .
- Lu , L.Z. 2002 . Perron complement and Perron root . Linear Algebra Appl. , 341 : 239 – 248 .
- Lu , L.Z. and Ng , M.K. 2004 . Localization of Perron roots . Linear Algebra Appl. , 392 : 103 – 107 .
- Mond , B. and Pecaric , J.E. 1996 . On an inequality for spectral radius . Linear Multilinear Algebra , 20 : 203 – 206 .
- Tong , W.T. 1987 . On the spectral radius of matrices . Linear Multilinear Algebra , 20 : 175 – 182 .
- Yang , Z.M. 2007 . The block smoothing method for estimating the spectral radius of a nonnegative matrix . Appl. Math. Comput. , 185 : 266 – 271 .