In this paper we present some new absolute and relative perturbation bounds for the eigenvalue for arbitrary matrices, which improves some recent results. The eigenvalue inclusion region is also discussed.
Let us define to be a r-Toeplitz matrix. The entries in the first row of are or;where F<sub>n</sub> and L<sub>n</sub> denote the usual Fibonacci and Lucas numbers, respe...Let us define to be a r-Toeplitz matrix. The entries in the first row of are or;where F<sub>n</sub> and L<sub>n</sub> denote the usual Fibonacci and Lucas numbers, respectively. We obtained some bounds for the spectral norm of these matrices.展开更多
文摘In this paper we present some new absolute and relative perturbation bounds for the eigenvalue for arbitrary matrices, which improves some recent results. The eigenvalue inclusion region is also discussed.
文摘Let us define to be a r-Toeplitz matrix. The entries in the first row of are or;where F<sub>n</sub> and L<sub>n</sub> denote the usual Fibonacci and Lucas numbers, respectively. We obtained some bounds for the spectral norm of these matrices.
