Simple algebraic solutions to the kinetic problems of triangle, quadrangle and pentangle reactions

Roland Tóbiás, Gyula Tasi

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

In this paper, ignoring graph-theoretic tools, simple algebraic solutions are presented for the kinetic problems of the triangle, quadrangle and pentangle reactions with the help of Krylov and Vandermonde matrices. As far as we know at the time of writing, this is the first time for the cases of the quadrangle and pentangle reactions. Our solutions do not require diagonalizability and non-degenerate eigenvalues concerning the coefficient matrix of the first-order reaction network.

Original languageEnglish
Pages (from-to)85-99
Number of pages15
JournalJournal of Mathematical Chemistry
Volume54
Issue number1
DOIs
Publication statusPublished - Jan 1 2016

Keywords

  • Algebraic model
  • Analytical and numerical solutions
  • First-order reaction network
  • Krylov and Vandermonde matrices
  • Quadrangle and pentangle reactions
  • Triangle

ASJC Scopus subject areas

  • Chemistry(all)
  • Applied Mathematics

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