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Another Dubious Way to Compute the Exponential of a Matrix

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Citations (Scopus)

Abstract

In this paper we analyzed recent works on inverting Vandermonde matrix, both classical and generalized, which were unknown during the publication of Moler’s and Van Loan’s paper ‘Nineteen Dubious Ways to Compute the Exponential of a Matrix’. Upon that analysis we proposed the Vandermonde method as the fourth candidate for calculating exponent of generic matrices. On this basis we also proposed the Vandermonde based method to compute the exponential of certain class of special matrices, i.e. the companion matrices.

Original languageEnglish
Title of host publicationComputational Science and Its Applications – ICCSA 2021 - 21st International Conference, Proceedings
EditorsOsvaldo Gervasi, Beniamino Murgante, Sanjay Misra, Chiara Garau, Ivan Blečić, David Taniar, Bernady O. Apduhan, Ana Maria Rocha, Eufemia Tarantino, Carmelo Maria Torre
PublisherSpringer Science and Business Media Deutschland GmbH
Pages465-478
Number of pages14
ISBN (Print)9783030866525
DOIs
Publication statusPublished - 2021
Event21st International Conference on Computational Science and Its Applications, ICCSA 2021 - Virtual, Online
Duration: 13 Sept 202116 Sept 2021

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12949 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference21st International Conference on Computational Science and Its Applications, ICCSA 2021
CityVirtual, Online
Period13/09/2116/09/21

Keywords

  • Companion matrix
  • Confluent Vandermonde matrix
  • Matrix exponential
  • Special matrix
  • Structured matrix
  • Vandermonde matrix

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science

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