|
عنوان
|
On the Remarkable Formula for Spectral Distance of Block Southeast Submatrix
|
|
نوع پژوهش
|
مقاله چاپشده
|
|
کلیدواژهها
|
Eigenvalues, Normal matrix, Distance norm.
|
|
چکیده
|
This paper presents a remarkable formula for spectral distance of a given block normal matrix GD0 = A B C D0 ! to set of block normal matrix GD (as same as GD0 except block D which is replaced by block D0), in which A 2 Cnn is invertible, B 2 Cnm;C 2 Cmn and D 2 Cmm with RankfGDg < n + m 1 and given eigenvalues of matrix M = D CA1B as z1; z2; : : : ; zm where jz1j jz2j jzm1j jzmj. Finally, an explicit formula is proven for spectral distance GD and GD0 which is expressed by the two last eigenvalues ofM.
|
|
پژوهشگران
|
عطیه نظامی (نفر دوم)، علی محمد نظری (نفر اول)
|