Showing math.FAShow all
2 papers · 1 filter
math.FA2025
The Kaczmarz Algorithm in Hilbert -modules
Daniel Alpay, Chad Berner, Eric S. Weber
The Kaczmarz algorithm in Hilbert spaces is a classical iterative method for stably recovering vectors from inner product data. In this paper, we extend the algorithm to the settin…
math.FA2024
Unitary rational functions: The scaled quaternion case
Daniel Alpay, Ilwoo Cho, Mihaela Vajiac
We develop the theory of minimal realizations and factorizations of rational functions where the coefficient space is a ring of the type introduced in our previous work, the scaled…