Accurate, validated and fast evaluation of elementary symmetric functions and its application
type: Item
instance of: scholarly article
title: Accurate, validated and fast evaluation of elementary symmetric functions and its application
zbMATH Open document ID: 1410.65006
author: Hao Jiang
author: Stef Graillat
author: Roberto Barrio
author: Canqun Yang
published in: Applied Mathematics and Computation
publication date: 2019-03-19T00:00:00Z
Mathematics Subject Classification ID: 65B10
Mathematics Subject Classification ID: 05E05
zbMATH DE Number: 7037970
zbMATH Keywords: elementary symmetric functions
zbMATH Keywords: floating-point arithmetic
zbMATH Keywords: roundoff error
zbMATH Keywords: error-free transformation
zbMATH Keywords: compensated algorithm
zbMATH Keywords: accurate algorithm
describes a project that uses: Matlab
describes a project that uses: MPFR
describes a project that uses: mctoolbox
describes a project that uses: ARPREC
describes a project that uses: LBNL
describes a project that uses: Algorithm 524
describes a project that uses: XBLAS
MaRDI profile type: Publication
full work available at URL: j.amc.2015.08.134
OpenAlex ID: W2182940243
cites work: Q4077128
cites work: Computing Characteristic Polynomials from Eigenvalues
cites work: Accurate Floating-Point Product and Exponentiation
cites work: Accurate summation, dot product and polynomial evaluation in complex floating point arithmetic
cites work: Computing correctly rounded integer powers in floating-point arithmetic
cites work: Accurate Sum and Dot Product
cites work: Ultimately Fast Accurate Summation
cites work: Accurate Floating-Point Summation Part I: Faithful Rounding
cites work: Accurate Floating-Point Summation Part II: Sign, K-Fold Faithful and Rounding to Nearest
cites work: On the evaluation of polynomial coefficients
cites work: A property of the elementary symmetric functions
cites work: Accuracy and Stability of Numerical Algorithms
cites work: Q4349924
cites work: A floating-point technique for extending the available precision
cites work: Roundoff errors in floating-point summation
cites work: Accurate evaluation of the \(k\)-th derivative of a polynomial and its application
cites work: Graph Transformations for Roundoff Analysis
cites work: MPFR
cites work: Design, implementation and testing of extended and mixed precision BLAS
DOI: 10.1016/J.AMC.2015.08.134
description: scientific article; zbMATH DE number 7037970