5 papers
Focal Sets of the John Ellipsoid of a Simplex from Its Vertices
Anatoly Eydelzon
Starting with the vertices of a simplex in , we build a cubic vector field. If the semiaxes of the simplex's John ellipsoid are distinct, the Jacobian of this field has repea…
From Pythagorean Runs to Pell-Generated Cubic Runs
Anatoly Eydelzon
A classical Pythagorean run is an identity in which a block of consecutive squares is equal to the immediately following block of consecutive squares. Boardman's construction gives…
From the Steiner Inellipse to the John Ellipsoid of a Simplex: A Corner-Volume Characterization
Anatoly Eydelzon
For a triangle of area \(T\), a planar corner-area characterization states that an interior point \(M\) lies on the Steiner inellipse precisely when the three corner triangles cut…
On Finite Gauss Transform
Maxim Arnold, Anatoly Eydelzon
We present an invariant density for the finite Gauss transformation of the unit interval and discuss some properties of this transformation.
On recoverability properties of fixed measurement matrices
Anatoly Eydelzon
The purpose of this paper is to extend a result by Donoho and Huo, Elad and Bruckstein, Gribnoval and Nielsen on sparse representations of signals in dictionaries to general matric…