Schur complement-based infinity norm bounds for the inverse of $ S $-Sparse Ostrowski Brauer matrices
Dizhen Ao,
Yan Liu,
Feng Wang
et al.
Abstract:<abstract><p>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 … Show more
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