Variation of Grassman powers and spectra
暂无分享,去创建一个
The operator norm of the derivative of the map which takes a finite-dimensional linear operator to its kth Grassman power (the kth compound) is evaluated. This leads to a bound for the distance between the Grassman powers of two operators. As an important application, a bound for the distance between the eigenvalues of two operators is obtained.
[1] J. Dieudonne. Foundations of Modern Analysis , 1969 .
[2] On the rate of change of spectra of operators. II , 1979 .
[3] P. Henrici. Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices , 1962 .
[4] R. Bellman,et al. A Survey of Matrix Theory and Matrix Inequalities , 1965 .
[5] A. Ostrowski. Solution of equations and systems of equations , 1967 .