4 papers · 1 filter
Linear stability analysis of the Lloyd algorithm on a circle
Silpi Saha, Sangita Jha, Mrinal Kanti Roychowdhury
Lloyd algorithm is the standard iterative method for computing quantizers and codebooks in source coding and vector quantization. In this article, we study the dynamical and stabil…
A study on sensitivity and stability analysis of non-stationary -fractal functions
Anarul Islam Mondal, Sangita Jha
This article aims to study fractal interpolation functions corresponding to a sequence of iterated function systems (IFSs). For a suitable choice of a sequence of IFS parameters, t…
Non-stationary -fractal functions and their dimensions in various function spaces
Anarul Islam Mondal, Sangita Jha
In this article, we study the novel concept of non-stationary iterated function systems (IFSs) introduced by Massopust in 2019. At first, using a sequence of different contractive…
Dimensional analysis of fractal interpolation functions
S. Verma, S. Jha
We provide a rigorous study on dimensions of fractal interpolation function defined on a closed and bounded interval of which is associated to a continuous function wi…