IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2015y2015i1n951340.html

Skew Circulant Type Matrices Involving the Sum of Fibonacci and Lucas Numbers

Author

Listed:
  • Zhaolin Jiang
  • Yunlan Wei

Abstract

Skew circulant and circulant matrices have been an ideal research area and hot issue for solving various differential equations. In this paper, the skew circulant type matrices with the sum of Fibonacci and Lucas numbers are discussed. The invertibility of the skew circulant type matrices is considered. The determinant and the inverse matrices are presented. Furthermore, the maximum column sum matrix norm, the spectral norm, the Euclidean (or Frobenius) norm, the maximum row sum matrix norm, and bounds for the spread of these matrices are given, respectively.

Suggested Citation

  • Zhaolin Jiang & Yunlan Wei, 2015. "Skew Circulant Type Matrices Involving the Sum of Fibonacci and Lucas Numbers," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:951340
    DOI: 10.1155/2015/951340
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2015/951340
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/951340?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Xiaoyu Jiang & Kicheon Hong, 2014. "Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous Numbers," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Zhaolin Jiang & Jinjiang Yao & Fuliang Lu, 2014. "On Skew Circulant Type Matrices Involving Any Continuous Fibonacci Numbers," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, June.
    3. Zhaolin Jiang & Jinjiang Yao & Fuliang Lu, 2014. "On Skew Circulant Type Matrices Involving Any Continuous Fibonacci Numbers," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Juan Li & Zhaolin Jiang & Fuliang Lu, 2014. "Determinants, Norms, and the Spread of Circulant Matrices with Tribonacci and Generalized Lucas Numbers," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    5. Zhaolin Jiang & Dan Li, 2014. "The Invertibility, Explicit Determinants, and Inverses of Circulant and Left Circulant and -Circulant Matrices Involving Any Continuous Fibonacci and Lucas Numbers," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-14, July.
    6. Xiaoyu Jiang & Kicheon Hong, 2014. "Exact Determinants of Some Special Circulant Matrices Involving Four Kinds of Famous Numbers," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-12, June.
    7. Zhaolin Jiang & Dan Li, 2014. "The Invertibility, Explicit Determinants, and Inverses of Circulant and Left Circulant and g‐Circulant Matrices Involving Any Continuous Fibonacci and Lucas Numbers," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    8. Juan Li & Zhaolin Jiang & Fuliang Lu, 2014. "Determinants, Norms, and the Spread of Circulant Matrices with Tribonacci and Generalized Lucas Numbers," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, May.
    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.
    1. Yanpeng Gong & Zhaolin Jiang & Yun Gao, 2015. "On Jacobsthal and Jacobsthal‐Lucas Circulant Type Matrices," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    2. Li Liu & Zhaolin Jiang, 2015. "Explicit Form of the Inverse Matrices of Tribonacci Circulant Type Matrices," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    3. Hongyan Pan & Zhaolin Jiang, 2015. "VanderLaan Circulant Type Matrices," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    4. Zhaolin Jiang & Hongxia Xin & Fuliang Lu, 2014. "Gaussian Fibonacci Circulant Type Matrices," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    5. Xiaoyu Jiang & Kicheon Hong, 2015. "Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    6. Tingting Xu & Zhaolin Jiang & Ziwu Jiang, 2014. "Explicit Determinants of the RFPrLrR Circulant and RLPrFrL Circulant Matrices Involving Some Famous Numbers," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    7. Yanpeng Zheng & Sugoog Shon, 2015. "Exact Inverse Matrices of Fermat and Mersenne Circulant Matrix," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    8. Zhaolin Jiang & Weiping Wang & Yanpeng Zheng & Baishuai Zuo & Bei Niu, 2019. "Interesting Explicit Expressions of Determinants and Inverse Matrices for Foeplitz and Loeplitz Matrices," Mathematics, MDPI, vol. 7(10), pages 1-19, October.
    9. Wenai Xu & Zhaolin Jiang, 2015. "Norms and Spread of the Fibonacci and Lucas RSFMLR Circulant Matrices," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    10. Yüksel Soykan, 2019. "Tribonacci and Tribonacci-Lucas Sedenions," Mathematics, MDPI, vol. 7(1), pages 1-19, January.

    More about this item

    Statistics

    Access and download statistics

    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:wly:jnlaaa:v:2015:y:2015:i:1:n:951340. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    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.