Results 31 to 40 of about 281,189 (325)

Polynomial Norms [PDF]

open access: yesSIAM Journal on Optimization, 2019
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
openaire   +3 more sources

Algorithmic polynomials [PDF]

open access: yesProceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing, 2018
The approximate degree of a Boolean function $f(x_{1},x_{2},\ldots,x_{n})$ is the minimum degree of a real polynomial that approximates $f$ pointwise within $1/3$. Upper bounds on approximate degree have a variety of applications in learning theory, differential privacy, and algorithm design in general.
openaire   +5 more sources

Singular polynomials from orbit spaces [PDF]

open access: yes, 2012
We consider the polynomial representation S(V*) of the rational Cherednik algebra H_c(W) associated to a finite Coxeter group W at constant parameter c.
Feigin, M., Silantyev, A.
core   +1 more source

Polynomial Collocation Methods Based on Successive Integration Technique for Solving Neutral Delay Differential Equations

open access: yesRatio Mathematica, 2023
This paper presents a new approach of using polynomials such as Hermite, Bernoulli, Chebyshev, Fibonacci and Bessel to solve neutral delay differential equations. The proposed method is based on the truncated polynomial expansion of the function together
Kayelvizhi C., Emimal Kanaga Pushpam A.
doaj   +1 more source

Vanishing Results for Hall-Littlewood Polynomials [PDF]

open access: yes, 2012
It is well-known that if one integrates a Schur function indexed by a partition λ over the symplectic (resp. orthogonal) group, the integral vanishes unless all parts of λ have even multiplicity (resp. all parts of λ are even).
Venkateswaran, Vidya
core   +1 more source

The degree and the order of polynomials in the ring R [F1A] [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2007
In this research, we generalize some properties of the degree and the order of polynomials in the ring R[x].
Ronnason Chinram
doaj  

Broadband direction of arrival estimation via spatial co-prime sampling and polynomial matrix methods

open access: yesThe Journal of Engineering, 2019
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

open access: yesMathematical Research Letters, 1995
AMSLaTeX+epic.sty+eepic.sty, 7 ...
openaire   +3 more sources

Real-valued propagator method for fast DOA estimation via polynomial rooting

open access: yesThe Journal of Engineering, 2019
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]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2012
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

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