Results 31 to 40 of about 59,698 (230)

Mean convergence of Lagrange interpolation. III [PDF]

Transactions of the American Mathematical Society, 1976
Necessary and sufficient conditions are found for weighted mean convergence of Lagrange and quasi-Lagrange interpolation based at the zeros of generalized Jacobi polynomials.
openaire   +2 more sources

Counterexample-Guided Polynomial Loop Invariant Generation by Lagrange Interpolation

, 2015
We apply multivariate Lagrange interpolation to synthesize polynomial quantitative loop invariants for probabilistic programs. We reduce the computation of an quantitative loop invariant to solving constraints over program variables and unknown ...
A Chakarov, A Dolzmann, A Dolzmann, A Gupta, A Gupta, A McIver, C Boor De, CAR Hoare, D Kozen, EW Dijkstra, F Gretz, F Gretz, J Hartog Den, J-P Katoen, JW Eaton, L Moura de, M Uslar, MA Colón, MO Rabin, P Cousot, PJ Olver, RW Floyd, S Sankaranarayanan, T Sauer   +23 more
core   +1 more source

Matrix Transformations and Disk of Convergence in Interpolation Processes

International Journal of Mathematics and Mathematical Sciences, 2008
Let 𝐴𝜌 denote the set of functions analytic in |𝑧|
Chikkanna R. Selvaraj, Suguna Selvaraj
doaj   +1 more source

Revisit Sparse Polynomial Interpolation based on Randomized Kronecker Substitution

, 2018
In this paper, a new reduction based interpolation algorithm for black-box multivariate polynomials over finite fields is given. The method is based on two main ingredients.
A Arnold, A Arnold, A Cuyt, DP Dubhashi, DY Grigoriev, EL Kaltofen, J Gathen, JM Pollard, M Avendaño, M Giesbrecht, MA Nielsen, MDA Huang, N Alon, R Zippel, R Zippel, S Garg, Y Mansour, YN Lakshman   +17 more
core   +1 more source

On a subclass of C1 functions for which the Lagrange interpolation yields the Jackson order of approximation

International Journal of Mathematics and Mathematical Sciences, 1994
We continue the investigation initiated by Mastroianni and Szabados on question whether Jackson's order of approximation can be attained by Lagrange interpolation for a wide class of functions.
Xin Li
doaj   +1 more source

The Zero-Removing Property and Lagrange-Type Interpolation Series [PDF]

, 2011
The classical Kramer sampling theorem, which provides a method for obtaining orthogonal sampling formulas, can be formulated in a more general nonorthogonal setting.
A. G. García, Butzer P., de Branges L., Everitt W.N., Higgins J.R., Kramer H.P., M. A. Hernández-Medina, P. E. Fernàndez-Moncada, Szafraniec F. H., Taylor A.E., Young R.M., Zayed A.I.   +11 more
core   +2 more sources

LAGRANGE INTERPOLATION FOR NATURAL COLOUR IMAGE DEMOSAICING

International Journal of Advances in Signal and Image Sciences, 2021
The quality of the digital image of the camera is determined by the colour demosaicing. The size and cost of the camera is reduced by a single sensor to capture the image which uses a Bayer Colour Filter Array (CFA).
Kannan E. P, Chithra T. V
doaj   +1 more source

The Lagrange interpolation for He’s frequency formulation

Journal of Low Frequency Noise, Vibration and Active Control, 2021
Nonlinear oscillators arise everywhere in engineering, and though there are many analytical methods available, a fast and accurate estimation of the frequency–amplitude relationship is much needed in practical applications.
Yue Shen
doaj   +1 more source

Geometrically-exact time-integration mesh-free schemes for advection-diffusion problems derived from optimal transportation theory and their connection with particle methods [PDF]

, 2017
We develop an Optimal Transportation Meshfree (OTM) particle method for advection-diffusion in which the concentration or density of the diffusive species is approximated by Dirac measures.
Arroyo, Benson, Bompadre, Bompadre, Brenier, Cavalli, Chen, Daneri, Evans, Jordan, Jordan, Jordan, Kane, Knott, Lew, Lew, Li, Lisini, Liu, Lucy, Marsden, Monaghan, Sulsky, Villani, Zhang   +24 more
core   +3 more sources

Predicting Atomic Charges in MOFs by Topological Charge Equilibration

Advanced Functional Materials, EarlyView.
An atomic charge prediction method is presented that is able to accurately reproduce ab‐initio‐derived reference charges for a large number of metal–organic frameworks. Based on a topological charge equilibration scheme, static charges that fulfill overall neutrality are quickly generated.
Babak Farhadi Jahromi, Sumukh Shankar Sharadaprasad, Rochus Schmid   +2 more
wiley   +1 more source