3 papers
math.NA2022
An interactive visualisation for all 2x2 real matrices, with applications to conveying the dynamics of iterative eigenvalue algorithms
Ran Gutin
We present two interactive visualisations of 2x2 real matrices, which we call v1 and v2. v1 is only valid for PSD matrices, and uses the spectral theorem in a trivial way -- we use…
math.NA2022
A visualisation for conveying the dynamics of iterative eigenvalue algorithms over PSD matrices
Ran Gutin
We propose a new way of visualising the dynamics of iterative eigenvalue algorithms such as the QR algorithm, over the important special case of PSD (positive semi-definite) matric…
math.CA2019
Constructive proof of Herschfeld's Convergence Theorem
Ran Gutin
In this paper, we present a constructive proof of Herschfeld's Convergence Theorem. Our formulation differs from Herschfeld's in a few ways: We consider radicals that nest transfin…