Results 171 to 180 of about 736 (209)
Some of the next articles are maybe not open access.
On a Hermite Interpolation by Polynomials of Two Variables
SIAM Journal on Numerical Analysis, 2002The authors study Hermite interpolation by polynomials of two variables. They prove the existence of a unique solution -- the so-called poisedness of the problem -- for the case of interpolation points \((x,y)\) placed on different circles centered at the origin equidistantly on each circle.
Borislav Bojanov, Yuan Xu
openaire +2 more sources
Improved Hermite multivariate polynomial interpolation
2006 IEEE International Symposium on Information Theory, 2006In this paper we give an algorithm with complexity O(mu2 ) to solve Hermite multivariate polynomial interpolation with mu conditions on its Hasse derivatives. In the case of bivariate interpolation used to perform list-decoding on Reed-Solomon of length n and dimension k with multiplicity m on each point, it permits to obtain a complexity in O(n2m4 ...
Gaborit, Philippe, Ruatta, Olivier
openaire +2 more sources
Interpolation properties of Hermite–Padé polynomials
Russian Mathematical Surveys, 2021In this paper, the author said that two theorems about properties of Hermite-Padé polynomials of interpolation can be proved, one using the classical potential theory methods proposed by \textit{A. A. Gonchar} and \textit{E. A. Rakhmanov} [Proc. Steklov Inst. Math.
openaire +1 more source
, 2005 On Bivariate Hermite Interpolation with Minimal Degree Polynomials
SIAM Journal on Numerical Analysis, 2000Let \(r= ax+ by+ c\) be a polynomial for which \(a^2+ b^2= 1\), \(a> 0\), or \(a= 0\) and \(b> 0\). Both the polynomial \(r\) and the straight line \(r= 0\) are denoted by the same symbol. Let \(\Gamma= \{r_0,\dots, r_n\}\), \(\Gamma'= \{r_0',\dots, r_m'\}\) be two systems of straight lines in \(\mathbb{R}^2\), such that each pair \((r_i, r_j')\in ...
Mariano Gasca, Tomas Sauer
openaire +2 more sources
Hermite interpolation with symmetric polynomials
Numerical Algorithms, 2017A problem of Hermite interpolation for symmetric bivariate polynomials is solved, i.e. the problem to develop a symmetric bivariate polynomial of \(n\)-th degree which matches, on a set of distinct points, the function values and its partial derivatives.
openaire +2 more sources
Interpolation of fuzzy data by Hermite polynomial
International Journal of Computer Mathematics, 2005We consider the interpolation of fuzzy data by a differentiable fuzzy-valued function. We do it by setting some conditions on the interpolant and its first derivative.
H. Sadeghi Goghary, Saeid Abbasbandy
openaire +1 more source
Weighted (0;0,2)-interpolation on the roots of Hermite polynomials
Acta Mathematica Hungarica, 1996The paper is concerned with a weighted \((0; 0,2)\)-interpolation problem. It is shown that for each even natural number \(n\) and arbitrary numbers \((\alpha_{j, n})^n_{j= 1}\), \((\beta_{ j,n })^{n- 1}_{j=1}\), \((\gamma_{ j,n })^{n-1}_{j =1}\), there exists a uniquely determined polynomial \(P_n\) of degree at most \(3n-2\) such that \[ P_n (x_{j,n})
Srivastava, Rekha, Mathur, K. K.
openaire +1 more source
Numerical factorization of a polynomial by rational Hermite interpolation
Numerical Algorithms, 1992The authors derive a class of iterative formulae to find numerically a factor of arbitrary degree of a polynomial \(f(x)\) based on rational Hermite interpolation. The iterative formula generates a sequence of polynomials which converges to a factor of \(f(x)\). Local and global convergence are studied. CPU-time and the number of iterations of Bairstow'
Tetsuya Sakurai +2 more
openaire +2 more sources
Hermite Interpolation Polynomial for Functions of Several Variables
Cybernetics and Systems Analysis, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources