On generalized Schur complement of matrices and its applications to real and integer matrix factorizations
Publish place: Journal of Mathematical Modeling، Vol: 10، Issue: 1
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JMMO-10-1_004
تاریخ نمایه سازی: 19 خرداد 1403
Abstract:
We provide a general finite iterative approach for constructing factorizations of a matrix A under a common framework of a general decomposition A=BC based on the generalized Schur complement. The approach applies a zeroing process using two index sets. Different choices of the index sets lead to different real and integer matrix factorizations. We also provide the conditions under which this approach is well-defined.
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Authors
Effat Golpar raboky
Department of mathematics, University of Qom, Qom, Iran