Computation of generalized matrix functions

Arrigo, Francesca and Benzi, Michele and Fenu, Caterina (2016) Computation of generalized matrix functions. SIAM Journal on Matrix Analysis and Applications, 37 (3). 836–860. ISSN 0895-4798 (https://doi.org/10.1137/15M1049634)

Preview

Text. Filename: Arrigo_etal_JMAA_2016_Computation_of_generalized_matrix_functions.pdf Accepted Author Manuscript Download (303kB)| Preview

Abstract

We develop numerical algorithms for the efficient evaluation of quantities associated with generalized matrix functions [J. B. Hawkins and A. Ben-Israel,Linear Multilinear Algebra, 1(1973), pp. 163–171]. Our algorithms are based on Gaussian quadrature and Golub–Kahan bidiagonalization. Block variants are also investigated. Numerical experiments are performed to illustrate the effectiveness and efficiency of our techniques in computing generalized matrix functions arising in the analysis of networks

• Share and Export
  

  RDF+XMLBibTeXRIOXX2 XMLRDF+N-TriplesJSONDublin CoreAtomSimple MetadataReferMETSHTML CitationASCII CitationOpenURL ContextObjectEndNoteOpenURL ContextObject in SpanMODSMPEG-21 DIDLEP3 XMLData Cite XMLRIS (EndNote Online, Zotero, Ref manager, etc)RDF+N3Multiline CSV
• Item metadata

  Item type:	Article
  ID code:	71545
  Dates:	Date Event 12 July 2016 Published 25 April 2016 Accepted
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	25 Feb 2020 09:40
  Last modified:	17 Apr 2024 00:37
  Related URLs:	Related item
  URI:	https://strathprints.strath.ac.uk/id/eprint/71545