Results 31 to 40 of about 9,360 (297)

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, D. Steven Mackey, Niloufer Mackey, Françoise Tisseur   +3 more
openaire   +1 more source

Homogeneous Formulas and Symmetric Polynomials [PDF]

computational complexity, 2011
We investigate the arithmetic formula complexity of the elementary symmetric polynomials S(k,n). We show that every multilinear homogeneous formula computing S(k,n) has size at least k^(Omega(log k))n, and that product-depth d multilinear homogeneous formulas for S(k,n) have size at least 2^(Omega(k^{1/d}))n.
Pavel Hrubes, Amir Yehudayoff
openaire   +2 more sources

A Note on Symmetric Properties of the Twisted q-Bernoulli Polynomials and the Twisted Generalized q-Bernoulli Polynomials

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, H. Yi, K. Shivashankara, T. Kim, Y. H. Kim, B. Lee   +5 more
doaj   +1 more source

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, I. Chernega, V. Hladkyi, O. Labachuk, Z. Novosad   +4 more
doaj   +1 more source

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.
Nafaa Chbili, Shamma Al Dhaheri, Mei Y. Tahnon, Amna A. E. Abunamous   +3 more
openaire   +1 more source

Stanley's character polynomials and coloured factorisations in the symmetric group

, 2008
In Stanley [R.P. Stanley, Irreducible symmetric group characters of rectangular shape, Sém. Lothar. Combin. 50 (2003) B50d, 11 p.] the author introduces polynomials which help evaluate symmetric group characters and conjectures that the coefficients of ...
Rattan, Amarpreet, Rattan, A.
core   +1 more source

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
doaj   +1 more source

The equivalence of two graph polynomials and a symmetric function

, 2009
The U-polynomial, the polychromate and the symmetric function generalization of the Tutte polynomial due to Stanley are known to be equivalent in the sense that the coefficients of any one of them can be obtained as a function of the coefficients of any ...
Noble, SD, Noble, Steven, CRIEL MERINO, STEVEN D. NOBLE, Merino, C, Merino, C.   +5 more
core   +1 more source

Clifford-symmetric polynomials

, 2023
Based on the NilHecke algebra $\mathsf{NH}_n$, the odd NilHecke algebra developed by Ellis, Khovanov and Lauda and Kang, Kashiwara and Tsuchioka's quiver Hecke superalgebra, we develop the Clifford Hecke superalgebra $\mathsf{NH}\mathfrak{C}_n$ as ...
Lenzen, Fabian
core   +1 more source

Symmetric and nonsymmetric Macdonald polynomials [PDF]

Annals of Combinatorics, 1999
AMS-Latex, 24 ...
openaire   +2 more sources