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On the computation of Hermite interval interpolating polynomials
Computing, 1977Two algorithms for the computation of Hermite interval interpolating polynomial have been proposed, one of which is recommended for fast computation and the other for obtaining the most accurate results.
G. P. Bhattacharjee, K. L. Majumder
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Fitting data using optimal Hermite type cubic interpolating splines [PDF]
Applied Mathematics Letters, 2012 In this work we obtain a new optimal property for cubic interpolating splines of Hermite type applied to data-fitting problems. The existence and uniqueness of the Hermite type cubic spline with minimal quadratic oscillation in average are ...
Alexandru Mihai Bica
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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
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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.
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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
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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.
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New algorithm for computing the Hermite interpolation polynomial
Numerical Algorithms, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abderrahim Messaoudi +2 more
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Linearization of Lagrange and Hermite interpolating matrix polynomials
IMA Journal of Numerical Analysis, 2015 This paper considers interpolating matrix polynomials P (λ) in Lagrange and Hermite bases. A classical approach to investigate the polynomial eigenvalue problem P(λ)x = 0 is linearization, by which the polynomial is converted into a larger matrix pencil ...
Wim Michiels +2 more
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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
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Hermite Interpolation Polynomial for Functions of Several Variables
Cybernetics and Systems Analysis, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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