IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i7p1056-d378940.html
   My bibliography  Save this article

Characteristic Polynomials and Eigenvalues for Certain Classes of Pentadiagonal Matrices

Author

Listed:
  • María Alejandra Alvarez

    (Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, Chile)

  • André Ebling Brondani

    (Departamento de Matemática, Instituto de Ciências Exatas, Universidade Federal Fluminense, Volta Redonda 27213-145, RJ, Brazil)

  • Francisca Andrea Macedo França

    (Departamento de Matemática, Instituto de Ciências Exatas, Universidade Federal Fluminense, Volta Redonda 27213-145, RJ, Brazil)

  • Luis A. Medina C.

    (Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, Chile)

Abstract

There exist pentadiagonal matrices which are diagonally similar to symmetric matrices. In this work we describe explicitly the diagonal matrix that gives this transformation for certain pentadiagonal matrices. We also consider particular classes of pentadiagonal matrices and obtain recursive formulas for the characteristic polynomial and explicit formulas for their eigenvalues.

Suggested Citation

  • María Alejandra Alvarez & André Ebling Brondani & Francisca Andrea Macedo França & Luis A. Medina C., 2020. "Characteristic Polynomials and Eigenvalues for Certain Classes of Pentadiagonal Matrices," Mathematics, MDPI, vol. 8(7), pages 1-12, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1056-:d:378940
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/7/1056/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/7/1056/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. S. S. Askar & A. A. Karawia, 2015. "On Solving Pentadiagonal Linear Systems via Transformations," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-9, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      Corrections

      All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1056-:d:378940. See general information about how to correct material in RePEc.

      If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

      If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

      For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

      Please note that corrections may take a couple of weeks to filter through the various RePEc services.

      IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.