Tight and efficient enclosure of matrix multiplication by using optimized BLAS.
type: Item
instance of: scholarly article
zbMATH Open document ID: 1249.65098
author: Katsuhisa Ozaki
author: Takeshi Ogita
author: Shin'ichi Oishi
published in: Numerical Linear Algebra with Applications
publication date: 2012-06-07T00:00:00Z
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 65G30
Mathematics Subject Classification ID: 65G20
zbMATH DE Number: 6043435
zbMATH Keywords: verified numerical computation
zbMATH Keywords: matrix multiplication
zbMATH Keywords: interval arithmetic
zbMATH Keywords: interval matrix
zbMATH Keywords: algorithms
zbMATH Keywords: numerical examples
describes a project that uses: BLAS
describes a project that uses: INTLAB
describes a project that uses: mctoolbox
MaRDI profile type: Publication
full work available at URL: nla.724
OpenAlex ID: W2003815079
cites work: Q2765413
cites work: Fast verification of solutions of matrix equations
cites work: Computational error bounds for multiple or nearly multiple eigenvalues
cites work: Fast enclosure of matrix eigenvalues and singular values via rounding mode controlled computation
cites work: Fast and parallel interval arithmetic
cites work: Error-free transformations of matrix multiplication by using fast routines of matrix multiplication and its applications
cites work: Accuracy and Stability of Numerical Algorithms
cites work: Fast inclusion of interval matrix multiplication
DOI: 10.1002/NLA.724
title: Tight and efficient enclosure of matrix multiplication by using optimized BLAS.
description: scientific article; zbMATH DE number 6043435