Nearest southeast submatrix that makes two prescribed eigenvalues
نویسندگان
چکیده
Given four complex matrices A, B, C and D where A ? Cn?n Cm?m given two distinct arbitrary numbers ?1 ?2, so that they are not eigenvalues of the matrix we find a nearest from set X to (with respect spectral norm) such B ! has prescribed ?2.
منابع مشابه
Computational aspect to the nearest southeast submatrix that makes multiple a prescribed eigenvalue
Given four complex matrices $A$, $B$, $C$ and $D$ where $Ainmathbb{C}^{ntimes n}$ and $Dinmathbb{C}^{mtimes m}$ and let the matrix $left(begin{array}{cc} A & B C & D end{array} right)$ be a normal matrix and assume that $lambda$ is a given complex number that is not eigenvalue of matrix $A$. We present a method to calculate the distance norm (with respect to 2-norm) from $D$ to ...
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ژورنال
عنوان ژورنال: Filomat
سال: 2022
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2206921n