کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6422224 1340618 2011 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Eigenvector-free solutions to AX = B with PX = XP and XH = sX constraints
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Eigenvector-free solutions to AX = B with PX = XP and XH = sX constraints
چکیده انگلیسی

The matrix equation AX = B with PX = XP and XH = sX constraints is considered, where P is a given Hermitian involutory matrix and s = ±1. By an eigenvalue decomposition of P, we equivalently transform the constrained problem to two well-known constrained problems and represent the solutions in terms of the eigenvectors of P. Using Moore-Penrose generalized inverses of the products generated by matrices A, B and P, the involved eigenvectors can be released and eigenvector-free formulas of the general solutions are presented. Similar strategy is applied to the equations AX = B, XC = D with the same constraints.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 12, 15 February 2011, Pages 5650-5657
نویسندگان
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