کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9498524 | 1631203 | 2005 | 31 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On matrices with common invariant cones with applications in neural and gene networks
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Motivated by a differential continuous-time switching model for gene and neural networks, we investigate matrix theoretic problems regarding the relative location and topology of the dominant eigenvectors of words constructed multiplicatively from two matrices A and B. These problems are naturally associated with the existence of common invariant subspaces and common invariant proper cones of A and B. The commuting case and the two-dimensional case are rich and considered analytically. We also analyze and recast the problem of the existence of a common invariant polyhedral cone in a multilinear framework, as well as present necessary conditions for the existence of low dimensional common invariant cones.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 398, 15 March 2005, Pages 37-67
Journal: Linear Algebra and its Applications - Volume 398, 15 March 2005, Pages 37-67
نویسندگان
Roderick Edwards, Judith J. McDonald, Michael J. Tsatsomeros,