10 citations · 14 across the 8 of their papers we have counts for
6 papers · 1 filter
On the extension of a class of Hermite multivariate interpolation problems
Hakop Hakopian, Anush Khachatryan
We characterize the sets of solvability for Hermite multivariate interpolation problems when the sum of multiplicities is at most , with the degree of the polynomial sp…
On characterization of poised nodes for a space of bivariate functions
Hayk Avdalyan, Hakop Hakopian
There are several examples of spaces of univariate functions for which we have a characterization of all sets of knots which are poised for the interpolation problem. For the stand…
On a new property of -poised and sets
Vahagn Bayramyan, Hakop Hakopian
In this paper we consider n-poised planar node sets, as well as more special ones, called -sets. For these sets all -fundamental polynomials are products of n linear facto…
On the uniqueness of algebraic curves passing through -independent nodes
H. Hakopian, S. Toroyan
A set of nodes is called -independent if each its node has a fundamental polynomial of degree We proved in a previous paper [H. Hakopian and S. Toroyan, On the minimal numb…
Polynomial Interpolation and a Multivariate Analog of Fundamental Theorem of Algebra
H. Hakopian, M. Tonoyan
Starting with univariate polynomial interpolation we arrive to a natural generalization of fundamental theorem of algebra for certain systems of multivariate algebraic equations.
Normal Systems of Algebraic and Partial Differential Equations
H. Hakopian
Here the polynomial interpolation approach is used to introduce the main results on multivariate normal algebraic systems. Next we bring a construction which shows that any standar…