منابع مشابه
On Some Special Classes of Sonnenschein Matrices
In this paper we consider the special classes of Sonnenschein matrices, namely the Karamata matrices $K[alpha,beta]=left(a_{n,k}right)$ with the entries [{a_{n,k}} = sumlimits_{v = 0}^k {left( begin{array}{l} n\ v end{array} right){{left( {1 - alpha - beta } right)}^v}{alpha ^{n - v}}left( begin{array}{l} n + k - v - 1\ ,,,,,,,,,,k...
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The division algebra of real quaternions, as the only noncommutative normed division real algebra up to isomorphism of normed algebras, is of great importance. In this note, first we present a brief introduction to quaternion matrices and quaternion linear algebra. This, among other things, will help us present the counterpart of a theorem of Herman Auerbach in the setting of quaternions. More ...
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The aim of this paper is to compute some bounds of forgotten index and then we present spectral properties of this index. In continuing, we define a new version of energy namely ISI energy corresponded to the ISI index and then we determine some bounds for it.
متن کاملOn the spectra of some matrices derived from two quadratic matrices
begin{abstract} The relations between the spectrum of the matrix $Q+R$ and the spectra of the matrices $(gamma + delta)Q+(alpha + beta)R-QR-RQ$, $QR-RQ$, $alpha beta R-QRQ$, $alpha RQR-(QR)^{2}$, and $beta R-QR$ have been given on condition that the matrix $Q+R$ is diagonalizable, where $Q$, $R$ are ${alpha, beta}$-quadratic matrix and ${gamma, delta}$-quadratic matrix, respectively, of ord...
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In this note we characterize polynomial numerical hulls of matrices $A in M_n$ such that$A^2$ is Hermitian. Also, we consider normal matrices $A in M_n$ whose $k^{th}$ power are semidefinite. For such matriceswe show that $V^k(A)=sigma(A)$.
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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky
سال: 1969
ISSN: 0528-2195
DOI: 10.21136/cpm.1969.108600