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<p>In this paper, we introduce parametrizations for doubly strictly diagonally dominant (DSDD) <i>Z</i>-matrices and doubly <i>B</i>-matrices. These parametrizations allow for the accurate computation of the inverses of DSDD <i>Z</i>-matrices and the determinants of doubly <i>B</i>-matrices with high relative accuracy. We provide numerical examples to illustrate the effectiveness and accuracy of our methods.</p>

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Accurate inverses and determinants of doubly strictly diagonally dominant Z-matrices

  • 期刊论文

  • 发表日期：

    2025年7月11日

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  • Lei Gao,
  • Tianyuan Li,
  • Xinnian Song

摘要

In this paper, we introduce parametrizations for doubly strictly diagonally dominant (DSDD) Z-matrices and doubly B-matrices. These parametrizations allow for the accurate computation of the inverses of DSDD Z-matrices and the determinants of doubly B-matrices with high relative accuracy. We provide numerical examples to illustrate the effectiveness and accuracy of our methods.