کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4598814 1631107 2016 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Square-zero factorization of matrices
ترجمه فارسی عنوان
تقسیم مربع صفر ماتریس
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

For given m×nm×n matrices G and F   over an arbitrary field FF, necessary and sufficient conditions (in terms of rank, amongst others) are presented for F to divide G with a square-zero quotient. These results are then used to extend the results of Novak [3] on square-zero factorization to matrices over an arbitrary field. The ranks that the square-zero factors can have are also investigated. Formulae are also presented by which these quotients can be constructed when this type of division is possible.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 488, 1 January 2016, Pages 71–85
نویسندگان
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