1,283
views
1
recommends
+1 Recommend
2 collections
    65
    shares
      scite_
       
      • Record: found
      • Abstract: found
      • Poster: found
      Is Open Access

      Nested Krylov methods for shifted linear systems

      poster
        ,
      ScienceOpen Posters
      ScienceOpen
      Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory
      Shifted linear systems, flexible preconditioning, inner-outer Krylov methods, time-harmonic wave equation
      Bookmark

            Abstract

            Most algorithms for the simultaneous solution of shifted linear systems make use of the shift-invariance property of the underlying Krylov spaces. This particular comes into play when preconditioning is taken into account. We propose a new iterative framework for the solution of shifted systems that uses an inner multi-shift Krylov method as a preconditioner within a flexible outer Krylov method. Shift-invariance is preserved if the inner method yields collinear residuals.

            Content

            Author and article information

            Conference
            ScienceOpen Posters
            ScienceOpen
            May 29 2015
            Author information
            https://orcid.org/0000-0002-2198-3080
            Article
            10.14293/P2199-8442.1.SOP-MATH.PGMQPO.v1
            d5c07267-fff1-4379-86cb-7d59967502a5

            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 .

            Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory
            History

            Applied mathematics,Numerical methods
            Shifted linear systems, flexible preconditioning, inner-outer Krylov methods, time-harmonic wave equation

            Comments

            Comment on this article