On the accurate computation of the Newton form of the Lagrange interpolant

In recent years many efforts have been devoted to finding bidiagonal factorizations of nonsingular totally positive matrices, since their accurate computation allows to numerically solve several important algebraic problems with great precision, even for large ill-conditioned matrices. In this frame...

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Bibliographic Details
Published in:	Numerical algorithms Vol. 98; no. 3; pp. 1553 - 1573
Main Authors:	Khiar, Y., Mainar, E., Royo-Amondarain, E., Rubio, B.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.03.2025 Springer Nature B.V
Subjects:	Accuracy Algebra Algorithms Collocation Collocation methods Computation Computer Science Factorization Linear algebra Mathematical analysis Numeric Computing Numerical Analysis Original Paper Polynomials Recursive functions Theory of Computation Divided differences Bidiagonal decompositions Lagrange interpolation 15A23 Totally positive matrices 15A06 65F15 High relative accuracy 65F05 Newton basis 15A18
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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