کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9498613 | 1631206 | 2005 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The determinantal regions of complex sign pattern matrices and ray pattern matrices
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The determinantal regions of complex sign pattern matrices and ray pattern matrices The determinantal regions of complex sign pattern matrices and ray pattern matrices](/preview/png/9498613.png)
چکیده انگلیسی
This paper studies the determinantal regions SA of complex sign pattern matrices and the determinantal regions RA of ray pattern matrices. We give an affirmative answer to a problem proposed in [C.A. Eschenbach, F.J. Hall, Z. Li, From real to complex sign pattern matrices, Bull. Australian Math. Soc. 57 (1998) 159-172] concerning the boundary points of the regions SA. We also prove that the region SA⧹{0} (and RA⧹{0}) is an open set in the complex plane C, except the cases that SA (or RA) is entirely contained in a line through the origin. We determine all the 21 possible regions SA of complex sign nonsingular matrices A and all the possible regions RA of ray nonsingular matrices A. We also study some further properties of SA (and RA) when A is not necessarily complex sign nonsingular (or ray nonsingular).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 395, 15 January 2005, Pages 211-228
Journal: Linear Algebra and its Applications - Volume 395, 15 January 2005, Pages 211-228
نویسندگان
Jia-Yu Shao, Hai-Ying Shan,