کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9498177 1631192 2005 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Isospectral vibrating systems. Part 1. The spectral method
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Isospectral vibrating systems. Part 1. The spectral method
چکیده انگلیسی
A study is made of inverse problems for n × n systems of the form L(λ) = Mλ2 + Dλ + K. This paper concerns the determination of systems in an equivalence class defined by a fixed 2n × 2n admissible Jordan matrix, i.e. a class of isospectral systems. Constructive methods are obtained for complex or real systems with no symmetry constraints. It is also shown how isospectral families of complex hermitian matrices can be formed. The case of real symmetric matrices is more difficult. Some partial solutions are obtained but, in this case, the theory remains incomplete. Examples are given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 409, 1 November 2005, Pages 51-69
نویسندگان
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