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Accurate Computations with Block Checkerboard Pattern Matrices

Author

Listed:
  • Jorge Delgado

    (Departamento de Matemática Aplicada, Universidad de Zaragoza, 50018 Zaragoza, Spain
    These authors contributed equally to this work.)

  • Héctor Orera

    (Departamento de Matemática Aplicada, Universidad de Zaragoza, 50018 Zaragoza, Spain
    These authors contributed equally to this work.)

  • J. M. Peña

    (Departamento de Matemática Aplicada, Universidad de Zaragoza, 50018 Zaragoza, Spain
    These authors contributed equally to this work.)

Abstract

In this work, block checkerboard sign pattern matrices are introduced and analyzed. They satisfy the generalized Perron–Frobenius theorem. We study the case related to total positive matrices in order to guarantee bidiagonal decompositions and some linear algebra computations with high relative accuracy. A result on intervals of checkerboard matrices is included. Some numerical examples illustrate the theoretical results.

Suggested Citation

  • Jorge Delgado & Héctor Orera & J. M. Peña, 2024. "Accurate Computations with Block Checkerboard Pattern Matrices," Mathematics, MDPI, vol. 12(6), pages 1-13, March.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:6:p:853-:d:1357100
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