21 citations · 42 across the 40 of their papers we have counts for
52 papers
The wanted extension of Fujii and Tsurumaru's formula for the spectral radius of the Bell-CHSH operator
Albrecht Böttcher, Ilya M. Spitkovsky
This paper is motivated by a recent paper of Yuki Fujii and Toyohiro Tsurumaru in which they established a beautiful formula for the spectral radius of the Bell-CHSH operator on fi…
Unified approach to reciprocal matrices with Kippenhahn curves containing elliptical components
Muyan Jiang, Ilya M. Spitkovsky
Reciprocal matrices are tridiagonal matrices with constant main diagonal and such that for . For these matrices, criteri…
On the exact spectral factorization of rational matrix functions with applications to paraunitary filter banks
Lasha Ephremidze, Gennady Mishuris, Ilya Spitkovsky
In this paper, we enhance a recent algorithm for approximate spectral factorization of matrix functions, extending its capabilities to precisely factorize rational matrices when an…
Random Generator of Orthogonal Matrices in Finite Fields
Lasha Ephremidze, Ilya Spitkovsky
We propose a superfast method for constructing orthogonal matrices in finite fields . It can be used to construct orthogonal matrices in $…
On low-dimensional partial isometries
Qixiao He, Ilya M. Spitkovsky, Ibrahim Suleiman
Two statements concerning -by- partial isometries are being considered: (i) these matrices are generic, if unitarily irreducible, and (ii) if nilpotent, their numerical range…
Numerical ranges of Foguel operators revisited
Muyan Jiang, Ilya M. Spitkovsky
The Foguel operator is defined as , where is the right shift on a Hilbert space and can be an arbitrary bound…