کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4598652 1631094 2016 44 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Completion of quasi-regular matrix pencils
ترجمه فارسی عنوان
تکمیل مداد ماتریس شبه منظم
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

In this paper we give solutions for two important particular cases of the general completion problem, involving quasi-regular matrix pencil. We describe the possible Kronecker invariants of a quasi-regular pencil whose subpencil is prescribed in the case when the prescribed subpencil is without nontrivial homogeneous invariant factors. Also, we solve “the dual problem” by describing the possible Kronecker invariants of a pencil without nontrivial homogeneous invariant factors when a quasi-regular subpencil is prescribed. These two results are expected to be the crucial steps toward a solution of the general completion problem. The results are given over algebraically closed fields.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 501, 15 July 2016, Pages 198–241
نویسندگان
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