Results 11 to 20 of about 287 (48)

A mini-max problem for self-adjoint Toeplitz matrices [PDF]

open access: yes, 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

Determinants of binomial-related circulant matrices

open access: yesSpecial 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

REGULARIZATION OF NON-NORMAL MATRICES BY GAUSSIAN NOISE—THE BANDED TOEPLITZ AND TWISTED TOEPLITZ CASES

open access: yesForum 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

Symmetric, Hankel-symmetric, and Centrosymmetric Doubly Stochastic Matrices [PDF]

open access: yes, 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

On the condition number of the Vandermonde matrix of the nth cyclotomic polynomial

open access: yesJournal 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

Determinant of binary circulant matrices

open access: yesSpecial Matrices, 2019
This article gives a closed-form expression for the determinant of binary circulant matrices.
Hariprasad M.
doaj   +1 more source

The reciprocal super Catalan matrix

open access: yesSpecial 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

open access: yesSpecial 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

A low-rank technique for computing the quasi-stationary distribution of subcritical Galton-Watson processes [PDF]

open access: yes, 2019
We present a new algorithm for computing the quasi-stationary distribution of subcritical Galton--Watson branching processes. This algorithm is based on a particular discretization of a well-known functional equation that characterizes the quasi ...
Hautphenne, Sophie, Massei, Stefano
core   +3 more sources

The Bergman Shift Operator on Polynomial Lemniscates

open access: yes, 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

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