منابع مشابه
Some results on higher numerical ranges and radii of quaternion matrices
Let $n$ and $k$ be two positive integers, $kleq n$ and $A$ be an $n$-square quaternion matrix. In this paper, some results on the $k-$numerical range of $A$ are investigated. Moreover, the notions of $k$-numerical radius, right $k$-spectral radius and $k$-norm of $A$ are introduced, and some of their algebraic properties are studied.
متن کاملMaximizing the numerical radii of matrices by permuting their entries
Let A be an n × n complex matrix such that every row and every column has at most one nonzero entry. We determine permutations of the nonzero entries of A so that the resulting matrix has maximum numerical radius. Extension of the results to operators acting on separable Hilbert spaces are also obtained. Related results and additional problems are also mentioned. AMS Subject Classification. 15A60.
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which are square invertible and have zeros – i.e. roots of detP (λ) – inside a given region Γ. We say that P (λ) is Γ-stable and call Γ the stability region. The complex stability radius rC of such polynomial matrices is the norm of the smallest perturbation ∆P (λ) . = ∆P0 +∆P1λ+ · · ·∆Pkλ k needed to “destabilize” P (λ) + ∆P (λ) and hence causing at least one zero of P (λ) + ∆P (λ) to leave th...
متن کاملsome results on higher numerical ranges and radii of quaternion matrices
let $n$ and $k$ be two positive integers, $kleq n$ and $a$ be an $n-$square quaternion matrix. in this paper, some results on the $k-$numerical range of $a$ are investigated. moreover, the notions of $k$-numerical radius, right $k$-spectral radius and $k$-norm of $a$ are introduced, and some of their algebraic properties are studied.
متن کاملUpper and lower bounds for numerical radii of block shifts
For an n-by-n complex matrix A in a block form with the (possibly) nonzero blocks only on the diagonal above the main one, we consider two other matrices whose nonzero entries are along the diagonal above the main one and consist of the norms or minimum moduli of the diagonal blocks of A. In this paper, we obtain two inequalities relating the numeical radii of these matrices and also determine ...
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ژورنال
عنوان ژورنال: Linear and Multilinear Algebra
سال: 2020
ISSN: 0308-1087,1563-5139
DOI: 10.1080/03081087.2020.1813679