Results 41 to 50 of about 249,840 (369)
Direction of arrival estimation is a crucial aspect of many active and passive systems, including radar and electronic warfare applications. Spread spectrum modulation schemes are becoming ever more common in both Radar and Communications systems ...
William Coventry +2 more
doaj +1 more source
Polynomial invariants are polynomial
AMSLaTeX+epic.sty+eepic.sty, 7 ...
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In this paper, we study polynomial norms, i.e. norms that are the $d^{\text{th}}$ root of a degree-$d$ homogeneous polynomial $f$. We first show that a necessary and sufficient condition for $f^{1/d}$ to be a norm is for $f$ to be strictly convex, or equivalently, convex and positive definite.
Amir Ali Ahmadi +2 more
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Extremal Polynomials Connected with Zolotarev Polynomials [PDF]
In this paper, the authors deal with the following extremal problem: Using the notation \(P_{n}(x,t)=x_{0}t^{n}+x_{1}t^{n-1}+\dotsb+x_{n}\) for a polynomial of degree not greater than \(n\), \(n\ge 2\) and given real parameters \[ a>1,\quad b0,\quad A \] maximize the magnitude of \(P_{n}(x,b)\) at the following constraints \[ |P_{n}(x,t)|\le M\quad ...
Agafonova, I. V., Malozemov, V. N.
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Asymptotic behavior and zero distribution of polynomials orthogonal with respect to Bessel functions [PDF]
We consider polynomials P_n orthogonal with respect to the weight J_? on [0,?), where J_? is the Bessel function of order ?. Asheim and Huybrechs considered these polynomials in connection with complex Gaussian quadrature for oscillatory integrals.
Deaño Cabrera, Alfredo +5 more
core +1 more source
Real-valued propagator method for fast DOA estimation via polynomial rooting
In this study, the problem of low-complexity direction-of-arrival (DOA) estimation is addressed, and a novel real-valued propagator method (PM) is presented with a uniform linear array.
Xiang-Tian Meng +3 more
doaj +1 more source
Polynomials Over Splitting Fields [PDF]
In this paper we study some results concerning the existence of splitting fields which are generated by roots of polynomials. Also we study the roots of cubic polynomials.
Majid Mohammed Abid
doaj +1 more source
The Dumont Ansatz for the Eulerian Polynomials, Peak Polynomials and Derivative Polynomials
We observe that three context-free grammars of Dumont can be brought to a common ground, via the idea of transformations of grammars, proposed by Ma-Ma-Yeh. Then we develop a unified perspective to investigate several combinatorial objects in connection with the bivariate Eulerian polynomials. We call this approach the Dumont ansatz.
Chen, William Y. C., Fu, Amy M.
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Local polynomials are polynomials [PDF]
Summary: We prove that a function \(f\) is a polynomial if \(G\circ f\) is a polynomial for every bounded linear functional \(G\). We also show that an operator-valued function is a polynomial if it is locally a polynomial.
Fong, C. K. +4 more
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Asymptotically extremal polynomials with respect to varying weights and application to Sobolev orthogonality [PDF]
9 pages, no figures.-- MSC2000 code: 33C45.MR#: MR2431543 (2009g:41009)Zbl#: Zbl 1155.33006We study the asymptotic behavior of the zeros of a sequence of polynomials whose weighted norms, with respect to a sequence of weight functions, have the same $n ...
Díaz Mendoza, Carlos J. +3 more
core +1 more source

