<p>In this paper, we propose several sufficient conditions to guarantee that the <i>k</i>-subdirect sum of two nearly strictly diagonally dominant (Nearly-SDD) matrices remains in the class of Nearly-SDD matrices. These conditions depend exclusively on the entries of the given matrices, thus providing straightforward and easily verifiable criteria for practical applications. Moreover, numerical examples are included to illustrate the validity and applicability of the obtained results.</p>

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Subdirect sums of Nearly-SDD matrices

  • Yu Wang,
  • Jingjing Ding,
  • Yanpei Wang,
  • Niannian Zhou

摘要

In this paper, we propose several sufficient conditions to guarantee that the k-subdirect sum of two nearly strictly diagonally dominant (Nearly-SDD) matrices remains in the class of Nearly-SDD matrices. These conditions depend exclusively on the entries of the given matrices, thus providing straightforward and easily verifiable criteria for practical applications. Moreover, numerical examples are included to illustrate the validity and applicability of the obtained results.