Blog
About

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

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

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.

linear functionals, jacobi matrix, quadrature, gauss quadrature, orthogonal polynomials, lanczos algorithm

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

      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.

      Related collections

      Author and article information

      Journal
      10.14293/P2199-8442.1.SOP-MATH.PB78LV.v1

      Comments

      Comment on this article