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Euclidean norm estimates of the inverse of some special block matrices

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  • Cvetković, Ljiljana
  • Kostić, Vladimir
  • Doroslovački, Ksenija
  • Cvetković, Dragana Lj.

Abstract

In this paper we start from the known lower bounds for minimal singular value of the matrices possessing certain kind of the diagonal dominance property, and derive Euclidean norm estimates of the inverses of several new subclasses of the block H-matrices. The motivation comes from applications where the matrix in question has distinguished block structure, which can be exploited to obtain useful information. An example arising from ecological modeling illustrates the benefits of the presented approach.

Suggested Citation

  • Cvetković, Ljiljana & Kostić, Vladimir & Doroslovački, Ksenija & Cvetković, Dragana Lj., 2016. "Euclidean norm estimates of the inverse of some special block matrices," Applied Mathematics and Computation, Elsevier, vol. 284(C), pages 12-23.
    • Handle: RePEc:eee:apmaco:v:284:y:2016:i:c:p:12-23
    DOI: 10.1016/j.amc.2016.02.048
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    References listed on IDEAS

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    1. Anje-Margriet Neutel & Johan A. P. Heesterbeek & Johan van de Koppel & Guido Hoenderboom & An Vos & Coen Kaldeway & Frank Berendse & Peter C. de Ruiter, 2007. "Reconciling complexity with stability in naturally assembling food webs," Nature, Nature, vol. 449(7162), pages 599-602, October.
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    Cited by:

    1. Dragana Cvetković & Đorđe Vukelić & Ksenija Doroslovački, 2024. "A New Subclass of H-Matrices with Applications," Mathematics, MDPI, vol. 12(15), pages 1-15, July.

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