A fast Chebyshev's method for quadratic equations.
type: Item
instance of: scholarly article
title: A fast Chebyshev's method for quadratic equations.
zbMATH Open document ID: 1038.65045
DOI: 10.1016/S0096-3003(02)00914-1
author: D. Massart
published in: Applied Mathematics and Computation
publication date: 2003-12-18T00:00:00Z
review text: In order to solve a quadratic equation \(F^{\prime \prime }(x)=B\), where \(B\) is a bilinear constant form, third-order methods are considered. To this end, the authors use multiresolution representation of data, standard forms of a matrix and of a bilinear operator and propose an adaptive Chebyshev method, whose convergence is proved (Theorem 1). Numerical examples are also presented.
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 65T60
zbMATH DE Number: 2019681
zbMATH Keywords: quadratic equation
zbMATH Keywords: Chebyshev's method
zbMATH Keywords: multiresolution
zbMATH Keywords: compression of matrix
zbMATH Keywords: convergence
zbMATH Keywords: numerical examples
reviewed by: Vasile Berinde
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2019681