2 citations · 4 across the 7 of their papers we have counts for
8 papers
Distance Evaluation to the Set of Defective Matrices
Alexei Yu. Uteshev, Elizaveta A. Kalinina, Marina V. Goncharova
We treat the problem of the Frobenius distance evaluation from a given matrix with distinct eigenvalues to the manifold of matrices with multiple ei…
Length of a Full Steiner Tree as a Function of Terminal Coordinates
Alexei Yu. Uteshev, Elizaveta A. Semenova
Given the coordinates of the terminals of the full Euclidean Steiner tree, its length equals where $ \{z_j:…
Geometry and Analytics of the Multifacility Weber Problem
Alexei Yu. Uteshev, Elizaveta A. Semenova
For the Weber problem of construction of the minimal cost planar weighted network connecting four terminals with two extra facilities, the solution by radicals is proposed. The con…
Bridging the Gap between Individuality and Joint Improvisation in the Mirror Game
Chao Zhai, Michael Z. Q. Chen, Francesco Alderisio +2
Extensive experiments in Human Movement Science suggest that solo motions are characterized by unique features that define the individuality or motor signature of people. While int…
Solution of Interpolation Problems via the Hankel Polynomial Construction
Alexei Yu. Uteshev, Ivan Baravy
We treat the interpolation problem for polynomial and rational functions. Developing the approach by C.Jacobi, we represent the interpolants by virtue of…
Some Analytics for Steiner Minimal Tree Problem for Four Terminals
Alexei Yu. Uteshev
Given the coordinates of four terminals in the Euclidean plane we present explicit formulas for Steiner point coordinates for Steiner minimal tree problem. We utilize the obtained…
Analytical Solution for the Generalized Fermat-Torricelli Problem
Alexei Yu. Uteshev
We present explicit analytical solution for the problem of minimization of the function , i.e. we find the coordinates of sta…
Metric Problems for Quadrics in Multidimensional Space
Alexei Yu. Uteshev, Marina V. Yashina
Given the equations of the first and the second order surfaces in multidimensional space, our goal is to construct a univariate polynomial one of the zeros of which coincides with…