کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4635637 | 1340713 | 2007 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Constrained inverse eigenproblem and associated approximation problem for anti-Hermitian R-symmetric matrices
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Let R â CnÃn be a nontrivial involution, i.e., R2 = I and R â  ±I. A â CnÃn is called anti-Hermitian R-symmetric if Aâ = âA and RAR = A. The presentation and some properties for an arbitrary anti-Hermitian R-symmetric matrix with Râ = R and the relations between the eigenproblem for A and the corresponding eigenproblems for anti-Hermitian matrices are given. Then the solutions of Constrained Inverse Eigenproblem and Approximation Problem are essentially decomposed into the same kind subproblems for anti-Hermitian matrices in complex field with smaller dimensions. The explicit solutions for the later subproblems are arrived. The corresponding problems which are the formulations of Constrained Inverse Eigenproblem and Approximation Problem in complex field was first given, then the solutions of Constrained Inverse Eigenproblem and Approximation Problem with Râ = R are derived.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 186, Issue 1, 1 March 2007, Pages 426-434
Journal: Applied Mathematics and Computation - Volume 186, Issue 1, 1 March 2007, Pages 426-434
نویسندگان
Guang-Xin Huang, Feng Yin,