کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5773022 | 1631062 | 2017 | 32 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Pseudo-spectra theory of tensors and tensor polynomial eigenvalue problems
ترجمه فارسی عنوان
تئوری پدیده طیفی تانسورها و مشکلات اختصاصی چندجمله ای تانسور
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
This paper is devoted to the extension of the ϵ-pseudo-spectra theory from matrices to tensors. Based on the definition of an eigenpair of real symmetric tensors and results on the ϵ-pseudo-spectrum of square matrices, we first introduce the ϵ-pseudo-spectrum of a complex tensor and investigate its fundamental properties, such as its computational interpretations and the link with the stability of its related homogeneous dynamical system. We then extend the ϵ-pseudo-spectrum to the setting of tensor polynomial eigenvalue problems. We further derive basic structure of the ϵ-pseudo-spectrum for tensor polynomial eigenvalue problems including the symmetry, boundedness and number of connected components under suitable mild assumptions. Finally, we discuss the implication of the ϵ-pseudo-spectrum for computing the backward errors and the distance from a regular tensor polynomial to the nearest irregular tensor polynomial.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 533, 15 November 2017, Pages 536-572
Journal: Linear Algebra and its Applications - Volume 533, 15 November 2017, Pages 536-572
نویسندگان
Maolin Che, Guoyin Li, Liqun Qi, Yimin Wei,