Results 21 to 30 of about 302 (56)

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, Akkus Ilker, Kızılaslan Gonca   +2 more
doaj   +1 more source

ESPRIT for multidimensional general grids

, 2018
We present a new method for complex frequency estimation in several variables, extending the classical (1d) ESPRIT-algorithm. We also consider how to work with data sampled on non-standard domains (i.e going beyond multi-rectangles)
Andersson, Fredrik, Carlsson, Marcus
core   +1 more source

Determinants of Toeplitz–Hessenberg Matrices with Generalized Leonardo Number Entries

Annales Mathematicae Silesianae
Let 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

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

Unitary automorphisms of the space of Toeplitz-plus-Hankel matrices

Special Matrices, 2015
Our motivation was a paper of 1991 indicating three special unitary matrices that map Hermitian Toeplitz matrices by similarity into real Toeplitz-plus-Hankel matrices.
Abdikalykov A.K., Chugunov V.N., Ikramov Kh.D.   +2 more
doaj   +1 more source

Double, borderline, and extraordinary eigenvalues of Kac-Murdock-Szeg\"o matrices with a complex parameter

, 2019
For all sufficiently large complex $\rho$, and for arbitrary matrix dimension $n$, it is shown that the Kac--Murdock--Szeg\H{o} matrix $K_n(\rho)=\left[\rho^{|j-k|}\right]_{j,k=1}^{n}$ possesses exactly two eigenvalues whose magnitude is larger than $n$.
Fikioris, George, Mavrogordatos, Themistoklis K.   +1 more
core   +1 more source

A Family of Maximal Algebras of Block Toeplitz Matrices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
The maximal commutative subalgebras containing only Toeplitz matrices have been identified as generalized circulants. A similar simple description cannot be obtained for block Toeplitz matrices.
Khan Muhammad Ahsan
doaj   +1 more source

On the spectrum of tridiagonal matrices with two-periodic main diagonal

Special Matrices
We find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal. This is expressed in terms of the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main ...
Dyachenko Alexander, Tyaglov Mikhail
doaj   +1 more source

Eulerian polynomials as moments, via exponential Riordan arrays [PDF]

, 2011
Using the theory of exponential Riordan arrays and orthogonal polynomials, we demonstrate that the "descending power" Eulerian polynomials, and their once shifted sequence, are moment sequences for simple families of orthogonal polynomials, which we ...
Barry, Paul
core   +3 more sources

Some Determinants Involving Incomplete Fubini Numbers

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
We study some properties of restricted and associated Fubini numbers. In particular, they have the natural extensions of the original Fubini numbers in the sense of determinants.
Komatsu Takao, Ramírez José L.
doaj   +1 more source