1 citations · 1 across the 10 of their papers we have counts for
10 papers
A "nearly parametric" solution to Selective Harmonic Elimination PWM
Bao-Xin Shang, Shu-Gong Zhang, Na Lei +1
Selective Harmonic Elimination Pulse Width Modulation (SHEPWM) is an important technique to solve PWM problems, which control the output voltage of an inverter via selecting approp…
Error Formulas for Ideal Interpolation
Yihe Gong, Xue Jiang, Zhe Li +1
In this paper we study the algebraic structure of error formulas for ideal interpolation. We introduce the so-called "normal" error formulas and prove that the lexicographic order…
The Breadth-one -invariant Polynomial Subspace
Xue Jiang, Shugong Zhang
We demonstrate the equivalence of two classes of -invariant polynomial subspaces introduced in [8] and [9], i.e., these two classes of subspaces are different representations of…
Fitzpatrick Algorithm for Multivariate Rational Interpolation
Peng Xia, Shugong Zhang, Na Lei
In this paper, we first apply the Fitzpatrick algorithm to osculatory rational interpolation. Then based on Fitzpatrick algorithm, we present a Neville-like algorithm for Cauchy in…
On a C. de Boor's Conjecture in a Particular Case and Related Perturbation
Zhe Li, Shugong Zhang, Tian Dong
In this paper, we focus on two classes of D-invariant polynomial subspaces. The first is a classical type, while the second is a new class. With matrix computation, we prove that e…
On existence of certain error formulas for a special class of ideal projectors
Zhe Li, Shugong Zhang, Tian Dong
In this paper, we focus on a special class of ideal projectors. With the aid of algebraic geometry, we prove that for this special class of ideal projectors, there exist "good" err…
Ideal Projectors of Type Partial Derivative and Their Perturbations
Zhe Li, Shugong Zhang, Tian Dong
In this paper, we verify Carl de Boor's conjecture on ideal projectors for real ideal projectors of type partial derivative by proving that there exists a positive $η\in \mathbb{R}…
Finite Sets of Affine Points with Unique Associated Monomial Order Quotient Bases
Zhe Li, Shugong Zhang, Tian Dong
The quotient bases for zero-dimensional ideals are often of interest in the investigation of multivariate polynomial interpolation, algebraic coding theory, and computational molec…
Bivariate Quasi-Tower Sets and Their Associated Lagrange Interpolation Bases
Tian Dong, Xiaoying Wang, Shugong Zhang +1
As we all known, there is still a long way for us to solve arbitrary multivariate Lagrange interpolation in theory. Nevertheless, it is well accepted that theories about Lagrange i…
A Bivariate Preprocessing Paradigm for Buchberger-Möller Algorithm
Xiaoying Wang, Shugong Zhang, Tian Dong
For the last almost three decades, since the famous Buchberger-Möller(BM) algorithm emerged, there has been wide interest in vanishing ideals of points and associated interpolation…