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On generalized Schur complement of matrices and its applications to real and integer matrix factorizations | ||
| Journal of Mathematical Modeling | ||
| دوره 10، شماره 1، فروردین 2022، صفحه 39-51 اصل مقاله (181.51 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2021.19495.1675 | ||
| نویسنده | ||
| Effat Golpar raboky* | ||
| Department of mathematics, University of Qom, Qom, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Matrix factorization؛ Generalizd Shcur complement؛ Quadrant interlocking factorization؛ W Z factorizatio | ||
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آمار تعداد مشاهده مقاله: 765 تعداد دریافت فایل اصل مقاله: 1,052 |
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