Results 21 to 30 of about 5,044 (263)
EVALUATION PROPERTIES OF SYMMETRIC POLYNOMIALS [PDF]
International Journal of Algebra and Computation, 2006 By the fundamental theorem of symmetric polynomials, if P ∈ ℚ[X1,…,Xn] is symmetric, then it can be written P = Q(σ1,…,σn), where σ1,…,σn are the elementary symmetric polynomials in n variables, and Q is in ℚ[S1,…,Sn]. We investigate the complexity properties of this construction in the straight-line program model, showing that the complexity of ...
Pierrick Gaudry +2 more
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Polynomial approximation of symmetric functions
Mathematics of Computation, 2023 We study the polynomial approximation of symmetric multivariate functions and of multi-set functions. Specifically, we consider f (
Markus Bachmayr +3 more
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Point-evaluation functionals on algebras of symmetric functions on $(L_\infty)^2$
Karpatsʹkì Matematičnì Publìkacìï, 2019 It is known that every continuous symmetric (invariant under the composition of its argument with each Lebesgue measurable bijection of $[0,1]$ that preserve the Lebesgue measure of measurable sets) polynomial on the Cartesian power of the complex Banach
T.V. Vasylyshyn
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Factorizations of Symmetric Macdonald Polynomials [PDF]
Symmetry, 2018 We prove many factorization formulas for highest weight Macdonald polynomials indexed by particular partitions called quasistaircases. Consequently, we prove a conjecture of Bernevig and Haldane stated in the context of the fractional quantum Hall effect theory.
Laura Colmenarejo +2 more
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Symmetric Linearizations for Matrix Polynomials [PDF]
SIAM Journal on Matrix Analysis and Applications, 2007 The aim of this paper is to gain new insight into the vector spaces of pencils \({\mathbf L}_1(P)\) and \({\mathbf L}_2(P)\), and their intersection \(\text{DL}(P)\), that arise in connection with the linearization of the polynomial eigenvalue problem \(P(\lambda)x = 0\).
Nicholas J. Higham +3 more
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The Characteristic Polynomials of Symmetric Graphs [PDF]
Symmetry, 2018 In this paper, we study the way the symmetries of a given graph are reflected in its characteristic polynomials. Our aim is not only to find obstructions for graph symmetries in terms of its polynomials but also to measure how faithful these algebraic invariants are with respect to symmetry.
Chbili, Nafaa +3 more
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Advances in Difference Equations, 2010 We define the twisted q-Bernoulli polynomials and the twisted generalized q-Bernoulli polynomials attached to χ of higher order and investigate some symmetric properties of them. Furthermore, using these symmetric properties of them, we can obtain
L.-C. Jang +5 more
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Application of symmetric analytic functions to spectra of linear operators
Karpatsʹkì Matematičnì Publìkacìï, 2021 The paper is devoted to extension of the theory of symmetric analytic functions on Banach sequence spaces to the spaces of nuclear and $p$-nuclear operators on the Hilbert space.
I. Burtnyak +4 more
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ON GENERALIZATIONS OF THE HILBERT NULLSTELLENSATZ FOR INFINITY DIMENSIONS (A SURVEY)
Journal of Vasyl Stefanyk Precarpathian National University, 2015 The paper contains a proof of Hilbert Nullstellensatz for the polynomials oninfinite-dimensional complex spaces and for a symmetric and a block-symmetric polynomials.
V.V. Kravtsiv
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The Trigonometric Polynomial Like Bernstein Polynomial
The Scientific World Journal, 2014 A symmetric basis of trigonometric polynomial space is presented. Based on the basis, symmetric trigonometric polynomial approximants like Bernstein polynomials are constructed.
Xuli Han
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