The Schur complements of generalized doubly diagonally dominant matrices

نویسندگان

  • Jianzhou Liu
  • Yunqing Huang
  • Fuzhen Zhang
چکیده

As is known, the Schur complements of diagonally dominant matrices are diagonally dominant; the same is true of doubly diagonally dominant matrices. The purpose of this paper is to extend the results to the generalized doubly diagonally dominant matrices (a proper subset of H -matrices); that is, we show that the Schur complement of a generalized doubly diagonally dominant matrix is a generalized doubly diagonally dominant matrix. © 2003 Elsevier Inc. All rights reserved. AMS classification: 15A48; 15A45

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تاریخ انتشار 2003