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AIMS Mathematics

2023, Volume 8, Issue 11: 25815-25844. doi: 10.3934/math.20231317
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Schur complement-based infinity norm bounds for the inverse of $ S $-Sparse Ostrowski Brauer matrices

  • College of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, China
  • Received: 20 May 2023 Revised: 16 August 2023 Accepted: 21 August 2023 Published: 07 September 2023

  • MSC : 15A48, 65G50, 90C31, 90C33

  • In this paper, we study the Schur complement problem of $ S $-SOB matrices, and prove that the Schur complement of $ S $-Sparse Ostrowski-Brauer ($ S $-SOB) matrices is still in the same class under certain conditions. Based on the Schur complement of $ S $-SOB matrices, some upper bound for the infinite norm of $ S $-SOB matrices is obtained. Numerical examples are given to certify the validity of the obtained results. By using the infinity norm bound, an error bound is given for the linear complementarity problems of $ S $-SOB matrices.

    Citation: Dizhen Ao, Yan Liu, Feng Wang, Lanlan Liu. Schur complement-based infinity norm bounds for the inverse of $ S $-Sparse Ostrowski Brauer matrices[J]. AIMS Mathematics, 2023, 8(11): 25815-25844. doi: 10.3934/math.20231317

    Related Papers:

  • In this paper, we study the Schur complement problem of $ S $-SOB matrices, and prove that the Schur complement of $ S $-Sparse Ostrowski-Brauer ($ S $-SOB) matrices is still in the same class under certain conditions. Based on the Schur complement of $ S $-SOB matrices, some upper bound for the infinite norm of $ S $-SOB matrices is obtained. Numerical examples are given to certify the validity of the obtained results. By using the infinity norm bound, an error bound is given for the linear complementarity problems of $ S $-SOB matrices.


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