Blog
About

  • Record: found
  • Abstract: found
  • Poster: not found
Is Open Access

SOR-like methods for solving the Sylvester equation

ScienceOpen Posters

ScienceOpen

This work has been published open access under Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com.

Iterative methods, SOR-like iterative method, Sylvester equation

Read this article at

ScienceOpen
Bookmark
      There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

      Abstract

      We present the SOR-like methods and highlight some of their known properties. We give the SOR-like method as proposed by Z. Wo źnicki and propose two similar methods based upon it. All three are stationary iterative methods for solving the Sylvester equation (AX-XB=C). We form two sufficient conditions under which one of those methods will converge. In addition, we present a modification method, based on the following fact: if X is a solution of AX-XB=C, it is also a solution of (A-αIm)X-X(B-αIn)=C. We also present numerical experiments to illustrate the theoretical results and some properties of the methods.

      Related collections

      Author and article information

      Journal
      10.14293/P2199-8442.1.SOP-MATH.PCH3PW.v1
      ScienceOpen disciplines:
      Keywords:

      Comments

      Comment on this article