Search Results - Matrix recursive polynomial interpolation algorithm
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GRPIA: a new algorithm for computing interpolation polynomials
ISSN: 1017-1398, 1572-9265Published: New York Springer US 01.01.2019Published in Numerical algorithms (01.01.2019)“… Recently, Messaoudi et al. ( 2017 ) presented a new algorithm for computing the Hermite interpolation polynomial called the Matrix Recursive Polynomial Interpolation Algorithm (MRPIA…”
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New algorithm for computing the Hermite interpolation polynomial
ISSN: 1017-1398, 1572-9265Published: New York Springer US 01.04.2018Published in Numerical algorithms (01.04.2018)“… We will reformulate the Hermite interpolation polynomial problem and give a new algorithm for giving the solution of this problem, the Matrix Recursive Polynomial Interpolation Algorithm (MRPIA…”
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RMPIA: a new algorithm for computing the Lagrange matrix interpolation polynomials
ISSN: 1017-1398, 1572-9265Published: New York Springer US 01.01.2023Published in Numerical algorithms (01.01.2023)“… We will reformulate the Lagrange matrix interpolation polynomial problem and give a new algorithm for giving the solution of this problem, the Recursive Matrix Polynomial Interpolation Algorithm (RMPIA…”
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Recursive polynomial interpolation algorithm (RPIA)
ISSN: 1017-1398, 1572-9265Published: New York Springer US 01.11.2017Published in Numerical algorithms (01.11.2017)“… the solution of this problem, the recursive polynomial interpolation algorithm (RPIA). Some properties of this algorithm will be studied and some examples will also…”
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Discrete Transforms and Orthogonal Polynomials of (Anti)symmetric Multivariate Sine Functions
ISSN: 1099-4300, 1099-4300Published: Switzerland MDPI AG 06.12.2018Published in Entropy (Basel, Switzerland) (06.12.2018)“… For the three-dimensional case, interpolation tests, unitary transform matrices and recursive algorithms for calculation of the polynomials are presented…”
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A recursive algorithm for computing the inverse of the Vandermonde matrix
ISSN: 2331-1916, 2331-1916Published: Abingdon Cogent 31.12.2016Published in Cogent engineering (31.12.2016)“…The inverse of a Vandermonde matrix has been used for signal processing, polynomial interpolation, curve fitting, wireless communication, and system identification…”
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On the accurate computation of the Newton form of the Lagrange interpolant
ISSN: 1017-1398, 1572-9265Published: New York Springer US 01.03.2025Published in Numerical algorithms (01.03.2025)“…—of relevance when considering the Lagrange interpolation problem—together with an algorithm that allows to numerically compute it to high relative accuracy…”
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Recursive trigonometric interpolation algorithms
ISSN: 0959-6518, 2041-3041, 2041-3041Published: London, England SAGE Publications 01.01.2010Published in Proceedings of the Institution of Mechanical Engineers. Part I, Journal of systems and control engineering (01.01.2010)“…Abstract Two new recursive algorithms for the calculation of the coefficients of the trigonometric polynomial that is fitted to measured data in the least-squares sense in a window of a sufficiently…”
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A New Derivation and Recursive Algorithm Based on Wronskian Matrix for Vandermonde Inverse Matrix
ISSN: 1024-123X, 1563-5147Published: Cairo, Egypt Hindawi Publishing Corporation 01.01.2015Published in Mathematical problems in engineering (01.01.2015)“…For an analytical expression of Vandermonde inverse matrix, a new derivation process basedon Wronskian matrix and Lagrange interpolation polynomial basis is presented…”
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Rational Interpolation: Jacobi’s Approach Reminiscence
ISSN: 2073-8994, 2073-8994Published: Basel MDPI AG 01.08.2021Published in Symmetry (Basel) (01.08.2021)“…We treat the interpolation problem {f(xj)=yj}j=1N for polynomial and rational functions…”
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Polynomial-division-based algorithms for computing linear recurrence relations
ISSN: 0747-7171, 1095-855XPublished: Elsevier Ltd 01.03.2022Published in Journal of symbolic computation (01.03.2022)“… They come down to computing linear recurrence relations of a sequence with the Berlekamp–Massey algorithm. Likewise, sparse multivariate polynomial interpolation…”
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An Interpolator for a Non-Uniform Rational B-Spline Curve with a High Efficiency and Accuracy Using Polynomial Representations
ISSN: 2076-0825, 2076-0825Published: Basel MDPI AG 01.11.2024Published in Actuators (01.11.2024)“… A recursive matrix representation and polynomial conversion are utilized to enhance the computation of NURBS curve intermediate points and derivatives…”
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The Bulirsch‐Stoer algorithm for multivariate rational interpolation
ISSN: 0170-4214, 1099-1476Published: Freiburg Wiley Subscription Services, Inc 30.11.2018Published in Mathematical methods in the applied sciences (30.11.2018)“…The Neville‐type algorithms are widely used in engineering and sciences. As an analog of Neville's algorithm that deals with univariate polynomial interpolation, Bulirsch…”
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A numerical method for pricing discrete double barrier option by Lagrange interpolation on Jacobi nodes
ISSN: 0170-4214, 1099-1476Published: Freiburg Wiley Subscription Services, Inc 30.03.2023Published in Mathematical methods in the applied sciences (30.03.2023)“… We have approximated these recursive solutions with the aid of Lagrange interpolation on Jacobi polynomial nodes…”
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A recursive method for solving unconstrained tangential interpolation problems
ISSN: 0018-9286Published: New York, NY IEEE 01.03.1999Published in IEEE transactions on automatic control (01.03.1999)“…An efficient recursive solution is presented for the one-sided unconstrained tangential interpolation problem…”
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On the Newton bivariate polynomial interpolation with applications
ISSN: 0923-6082, 1573-0824Published: Boston Springer US 01.01.2014Published in Multidimensional systems and signal processing (01.01.2014)“…The main purpose of this work is to provide recursive algorithms for the computation of the Newton interpolation polynomial of a given two-variable function…”
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Moment Estimation Using a Marginalized Transform
ISSN: 1053-587X, 1941-0476, 1941-0476Published: New York, NY IEEE 01.12.2012Published in IEEE transactions on signal processing (01.12.2012)“… An estimation algorithm, based on the assumption that the transforming function can be described…”
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On the accurate computation of the Newton form of the Lagrange interpolant
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 22.12.2023Published in arXiv.org (22.12.2023)“… In this framework, the present work provides the factorization of the collocation matrices of Newton bases -- of relevance when considering the Lagrange interpolation problem -- together…”
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Solution of rational interpolation problem via the Hankel polynomial construction
ISSN: 1811-9905, 2542-2251Published: 2016Published in Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes (2016)Get full text
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Computing ECT-B-splines recursively
ISSN: 1017-1398, 1572-9265Published: New York Springer Nature B.V 01.01.2006Published in Numerical algorithms (01.01.2006)“…ECT-spline curves for sequences of multiple knots are generated from different local ECT-systems via connection matrices…”
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