Bezout-like polynomial equations associated with dual univariate interpolating subdivision schemes

09/28/2020
by   Luca Gemignani, et al.
0

The algebraic characterization of dual univariate interpolating subdivision schemes is investigated. Specifically, we provide a constructive approach for finding dual univariate interpolating subdivision schemes based on the solutions of certain associated polynomial equations. The proposed approach also makes possible to identify conditions for the existence of the sought schemes.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 1

page 2

page 3

page 4

07/22/2019

Dual Univariate Interpolatory Subdivision of Every Arity: Algebraic Characterization and Construction

A new class of univariate stationary interpolatory subdivision schemes o...
01/08/2020

A Condition for Multiplicity Structure of Univariate Polynomials

We consider the problem of finding a condition for a univariate polynomi...
02/29/2020

A complexity chasm for solving univariate sparse polynomial equations over p-adic fields

We reveal a complexity chasm, separating the trinomial and tetranomial c...
06/30/2017

P-schemes and Deterministic Polynomial Factoring over Finite Fields

We introduce a family of mathematical objects called P-schemes, where P ...
09/08/2020

Dual optimal design and the Christoffel-Darboux polynomial

The purpose of this short note is to show that the Christoffel-Darboux p...
06/07/2020

Commitment Schemes and Diophantine Equations

Motivated by questions in cryptography, we look for diophantine equation...
02/27/2018

Finding steady-state solutions for ODE systems of zero, first and homogeneous second-order chemical reactions is NP-hard

In the context of modeling of cell signaling pathways, a relevant step i...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.