917
views
0
recommends
+1 Recommend
2 collections
    44
    shares
      scite_
       
      • Record: found
      • Abstract: found
      • Poster: found
      Is Open Access

      Complex Jacobi Matrices and Gauss Quadrature for Quasi-definite Linear Functionals

      poster
      , ,
      ScienceOpen Posters
      ScienceOpen
      Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory
      linear functionals, jacobi matrix, quadrature, gauss quadrature, orthogonal polynomials, lanczos algorithm
      Bookmark

            Abstract

            The Gauss quadrature can be formulated as a method for approximation of positive definite linear functionals. The underlying theory connects several classical topics including orthogonal polynomials and (real) Jacobi matrices. In the poster we investigated the problem of generalizing the concept of Gauss quadrature for approximation of linear functionals which are not positive definite. We showed that the concept can be generalized to quasi-definite functionals and based on a close relationship with orthogonal polynomials and complex Jacobi matrices.

            Content

            Author and article information

            Conference
            ScienceOpen Posters
            ScienceOpen
            September 3 2015
            Article
            10.14293/P2199-8442.1.SOP-MATH.PB78LV.v1
            51b8dadf-6484-493a-81b0-d32f46f9a212

            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

            Numerical & Computational mathematics
            linear functionals, jacobi matrix, quadrature, gauss quadrature, orthogonal polynomials, lanczos algorithm

            Comments

            Comment on this article