Search Results - Generalized recursive polynomial interpolation algorithm

Matrix recursive polynomial interpolation algorithm: An algorithm for computing the interpolation polynomials

Authors: Abderrahim Messaoudi Hassane Sadok Rachid Sadaka et al.

Contributors: Abderrahim Messaoudi Hassane Sadok Rachid Sadaka et al.

Source: Journal of Computational and Applied Mathematics. 373:112471

Subject Terms: Hermite interpolation polynomials, Polynomial interpolation, Matrix recursive interpolation algorithm, Matrix recursive polynomial interpolation algorithm, Generalized recursive polynomial interpolation algorithm, [MATH] Mathematics [math], 0101 mathematics, 01 natural sciences

Access URL: https://dblp.uni-trier.de/db/journals/jcam/jcam373.html#MessaoudiSS20
https://www.sciencedirect.com/science/article/pii/S0377042719304741

Recursive algorithms for computing Birkhoff interpolation polynomials

Authors: Jiang, Xue Li, Yuanhe Li, Zhe

Subject Terms: Numerical Analysis

Relation: http://arxiv.org/abs/2511.09014

Availability: http://arxiv.org/abs/2511.09014

GRPIA: a new algorithm for computing interpolation polynomials

Authors: Messaoudi, Abderrahim Errachid, Mohammed Jbilou, Khalide et al.

Contributors: Messaoudi, Abderrahim Errachid, Mohammed Jbilou, Khalide et al.

Source: Numerical Algorithms. 80:253-278

Subject Terms: General Hermite polynomial interpolation, Polynomial interpolation, Matrix recursive polynomial interpolation algorithm, Schur complement, Sylvester's identity, [MATH] Mathematics [math], 0101 mathematics, Recursive polynomial interpolation algorithm, 01 natural sciences

RHBPIA: a new algorithm for computing Hermite-Birkhoff interpolation polynomials.

Authors: Rhouni, Omar Errachid, Mohammed Esghir, Mustapha

Source: Numerical Algorithms. Jun2025, p1-28.

GRPIA: a new algorithm for computing interpolation polynomials.

Authors: Messaoudi, Abderrahim Errachid, Mohammed Jbilou, Khalide et al.

Source: Numerical Algorithms; Jan2019, Vol. 80 Issue 1, p253-278, 26p

Subject Terms: INTERPOLATION algorithms, HERMITE polynomials, INTERPOLATION, POLYNOMIALS, SET theory

New algorithm for computing the Hermite interpolation polynomial.

Authors: Messaoudi, A. Sadaka, R. Sadok, H.

Source: Numerical Algorithms; Apr2018, Vol. 77 Issue 4, p1069-1092, 24p

Subject Terms: HERMITE polynomials, ALGORITHMS, INTERPOLATION, LAGRANGE equations, PROBLEM solving

RMPIA: a new algorithm for computing the Lagrange matrix interpolation polynomials.

Authors: Messaoudi, Abderrahim Sadok, Hassane

Source: Numerical Algorithms; Jan2023, Vol. 92 Issue 1, p849-867, 19p

Subject Terms: POLYNOMIALS, INTERPOLATION algorithms, INTERPOLATION, REAL numbers, SCHUR complement

RMVPIA: a new algorithm for computing the Lagrange multivariate polynomial interpolation.

Authors: Errachid, M. Essanhaji, A. Messaoudi, A.

Source: Numerical Algorithms; Aug2020, Vol. 84 Issue 4, p1507-1534, 28p

Subject Terms: ALGORITHMS, POLYNOMIALS, INTERPOLATION, LAGRANGE problem, SCHUR complement, POLYNOMIAL time algorithms, INTERPOLATION algorithms, LAGRANGE multiplier

On the Closed Form Expression of Elementary Symmetric Polynomials and the Inverse of Vandermonde Matrix

Authors: Hosseini, Mahdi S. Chen, Alfred Plataniotis, Konstantinos N.

Index Terms: Mathematics - Numerical Analysis, 05E05, 11C08, 11C20, 15B05, 15A09, 65F05, text

URL: http://arxiv.org/abs/1909.08155

Reliability-Based Forward Recursive Algorithms for Algebraic Soft-Decision Decoding of Reed-Solomon Codes.

Authors: Haitao Xia Cruz, J. R.

Source: IEEE Transactions on Communications. Jul2007, Vol. 55 Issue 7, p1273-1278. 6p. 5 Graphs.

Subject Terms: *REED-Solomon codes, *ERROR-correcting codes, *DIGITAL signal processing mathematics, *RANDOM noise theory, *ALGEBRA, *ALGORITHMS

ASPA 25th Congress Book of Abstract.

Authors: De Palo, Pasquale (AUTHOR)

Source: Italian Journal of Animal Science. Jun2023 Supplement 1, Vol. 22, p1-320. 320p.

Sampling rate conversion systems using a new generalized form of the discrete Fourier transform

Authors: H. Murakami

Source: IEEE Transactions on Signal Processing. 43:2095-2102

Subject Terms: 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology

Access URL: https://ieeexplore.ieee.org/document/414771/
http://ieeexplore.ieee.org/document/414771/
https://dblp.uni-trier.de/db/journals/tsp/tsp43.html#Murakami95
https://ui.adsabs.harvard.edu/abs/1995ITSP...43.2095M/abstract

Structured matrices and unconstrained rational interpolation problems

Authors: Thomas Kailath Ali H. Sayed Tibor Boros

Source: Linear Algebra and its Applications. :155-188

Subject Terms: Numerical optimization and variational techniques, recursive algorithm, Schur algorithm, Numerical Analysis, 0209 industrial biotechnology, displacement structure, Algebra and Number Theory, rational interpolation, 02 engineering and technology, triangular factorization, 01 natural sciences, feedforward cascade, Approximation by rational functions, Numerical interpolation, General systems theory, Discrete Mathematics and Combinatorics, Geometry and Topology, 0101 mathematics, cascade systems

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/abs/pii/002437959490202X
https://infoscience.epfl.ch/record/233147
https://www.sciencedirect.com/science/article/pii/002437959490202X

A Laser-Based On-Machine Measuring System for Profile Accuracy of Double-Headed Screw Rotor.

Authors: Dong, Zhixu Xu, Fangsu Sun, Xingwei et al.

Source: Sensors (14248220); Dec2019, Vol. 19 Issue 23, p5059, 1p

Subject Terms: COORDINATE measuring machines, SCREWS, INTERPOLATION algorithms, TANGENT function, LAGRANGE multiplier, ROTORS, EXTRACTION (Chemistry)

A New Derivation and Recursive Algorithm Based on Wronskian Matrix for Vandermonde Inverse Matrix

Authors: Qun Zhou Xinjian Zhang Xiongwei Liu

Source: Mathematical Problems in Engineering. 2015:1-7

Subject Terms: 0209 industrial biotechnology, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology

File Description: text/xhtml

Access URL: http://downloads.hindawi.com/journals/mpe/2015/924757.pdf
https://www.hindawi.com/journals/mpe/2015/924757/
https://downloads.hindawi.com/journals/mpe/2015/924757.pdf
http://downloads.hindawi.com/journals/mpe/2015/924757.pdf
https://core.ac.uk/display/89225662

Sparse polynomial interpolation: faster strategies over finite fields.

Authors: van der Hoeven, Joris Lecerf, Grégoire

Source: Applicable Algebra in Engineering, Communication & Computing; Nov2025, Vol. 36 Issue 6, p1113-1150, 38p

Subject Terms: FINITE fields, INTERPOLATION algorithms, POLYNOMIALS, ALGORITHMS, OPTIMIZATION algorithms, COMPUTATIONAL complexity

Smooth Multiwavelet Duals of Alpert Bases by Moment-Interpolating Refinement: Smooth multiwavelet duals of Alpert bases by moment-interpolating refinement

Authors: Thomas P.-Y. Yu Nira Dyn David Levin et al.

Source: Applied and Computational Harmonic Analysis. 9:166-203

Subject Terms: moment imputation problem, algorithm, Applied Mathematics, Nontrigonometric harmonic analysis involving wavelets and other special systems, wavelets, 01 natural sciences, interpolation, multiwavelets, polynomial imputation, moment interpolation problem, Numerical interpolation, Numerical methods for wavelets, refinement, Hermite interpolation, 0101 mathematics

File Description: application/xml

Access URL: https://zbmath.org/1512546
https://doi.org/10.1006/acha.2000.0315
https://www.sciencedirect.com/science/article/abs/pii/S1063520300903154
https://www.sciencedirect.com/science/article/pii/S1063520300903154
https://core.ac.uk/display/82419970

Fast Kötter–Nielsen–Høholdt interpolation over skew polynomial rings and its application in coding theory.

Authors: Bartz, Hannes Jerkovits, Thomas Rosenkilde, Johan

Source: Designs, Codes & Cryptography; Feb2024, Vol. 92 Issue 2, p435-465, 31p

Subject Terms: CODING theory, POLYNOMIAL rings, REED-Solomon codes, DECODING algorithms, INTERPOLATION algorithms, INTERPOLATION

High relative accuracy for a Newton form of bivariate interpolation problems.

Authors: Khiar, Yasmina Mainar, Esmeralda Royo-Amondarain, Eduardo et al.

Source: AIMS Mathematics; 2025, Vol. 10 Issue 2, p1-12, 12p

Subject Terms: KRONECKER products, MATRIX multiplications, INTERPOLATION, POLYNOMIALS, GENERALIZATION

An efficient smoothing algorithm for range external guidance data based on dynamic threshold and adaptive interpolation.

Authors: Zhang, Shixue Cai, Huihui Wang, Houfeng et al.

Source: Scientific Reports; 4/29/2025, Vol. 15 Issue 1, p1-14, 14p

Subject Terms: INTERPOLATION algorithms, TRAJECTORY measurements, ARTIFICIAL intelligence, IMAGE processing, INTERPOLATION