Results 11 to 20 of about 279 (46)
Determinants of binomial-related circulant matrices
Special Matrices, 2018 Due to their rich algebraic structures and wide applications, circulant matrices have been of interest and continuously studied. In this paper, n×n complex left and right circulant matrices whose first row consists of the coefficients in the expansion of
Jantaramas Trairat +2 more
doaj +1 more source
Forum of Mathematics, Sigma, 2019 We consider the spectrum of additive, polynomially vanishing random perturbations of deterministic matrices, as follows. Let $M_{N}$ be a deterministic $N\times N$ matrix, and let $G_{N}$ be a complex Ginibre matrix.
ANIRBAN BASAK +2 more
doaj +1 more source
On the condition number of the Vandermonde matrix of the nth cyclotomic polynomial
Journal of Mathematical Cryptology, 2020 Recently, Blanco-Chacón proved the equivalence between the Ring Learning With Errors and Polynomial Learning With Errors problems for some families of cyclotomic number fields by giving some upper bounds for the condition number Cond(Vn) of the ...
Scala Antonio J. Di +2 more
doaj +1 more source
A mini-max problem for self-adjoint Toeplitz matrices [PDF]
, 2011 We study a minimum problem and associated maximum problem for finite, complex, self-adjoint Toeplitz matrices. If $A$ is such a matrix, of size $(N+1)$-by-$(N+1)$, we identify $A$ with the operator it represents on $P_N$, the space of complex polynomials
Courtney, Dennis, Sarason, Donald
core +1 more source
Determinant of binary circulant matrices
Special Matrices, 2019 This article gives a closed-form expression for the determinant of binary circulant matrices.
Hariprasad M.
doaj +1 more source
Symmetric, Hankel-symmetric, and Centrosymmetric Doubly Stochastic Matrices [PDF]
, 2017 We investigate convex polytopes of doubly stochastic matrices having special structures: symmetric, Hankel symmetric, centrosymmetric, and both symmetric and Hankel symmetric.
Brualdi, Richard R., Cao, Lei
core +3 more sources
The reciprocal super Catalan matrix
Special Matrices, 2015 The reciprocal super Catalan matrix has entries . Explicit formulæ for its LU-decomposition, the LU-decomposition of its inverse, and some related matrices are obtained. For all results, q-analogues are also presented.
Prodinger Helmut
doaj +1 more source
A variant of the reciprocal super Catalan matrix
Special Matrices, 2015 Recently Prodinger [8] considered the reciprocal super Catalan matrix and gave explicit formulæ for its LU-decomposition, the LU-decomposition of its inverse, and obtained some related matrices. For all results, q-analogues were also presented.
Kılıç Emrah +2 more
doaj +1 more source
The Bergman Shift Operator on Polynomial Lemniscates
, 2014 We investigate the relationship between the Bergman shift operator and the support of the corresponding measure. We pay special attention to the situation when the measure of orthogonality is concentrated on a polynomial lemniscate.
Simanek, Brian
core +1 more source
Determinants of Toeplitz–Hessenberg Matrices with Generalized Leonardo Number Entries
Annales Mathematicae SilesianaeLet un = un(k) denote the generalized Leonardo number defined recursively by un = un−1 + un−2 + k for n ≥ 2, where u0 = u1 = 1. Terms of the sequence un(1) are referred to simply as Leonardo numbers.
Goy Taras, Shattuck Mark
doaj +1 more source