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Schur Complement-Based Infinity Norm Bounds for the Inverse of GDSDD Matrices

Author

Listed:
  • Yating Li

    (School of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji 721013, China)

  • Yaqiang Wang

    (School of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji 721013, China)

Abstract

Based on the Schur complement, some upper bounds for the infinity norm of the inverse of generalized doubly strictly diagonally dominant matrices are obtained. In addition, it is shown that the new bound improves the previous bounds. Numerical examples are given to illustrate our results. By using the infinity norm bound, a lower bound for the smallest singular value is given.

Suggested Citation

  • Yating Li & Yaqiang Wang, 2022. "Schur Complement-Based Infinity Norm Bounds for the Inverse of GDSDD Matrices," Mathematics, MDPI, vol. 10(2), pages 1-29, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:2:p:186-:d:719980
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    Cited by:

    1. Wenlong Zeng & Jianzhou Liu & Hongmin Mo, 2023. "Schur Complement-Based Infinity Norm Bound for the Inverse of Dashnic-Zusmanovich Type Matrices," Mathematics, MDPI, vol. 11(10), pages 1-12, May.

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