کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10524487 957560 2005 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The general common Hermitian nonnegative-definite solution to the matrix equations AXA∗=BB∗ and CXC∗=DD∗ with applications in statistics
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز عددی
پیش نمایش صفحه اول مقاله
The general common Hermitian nonnegative-definite solution to the matrix equations AXA∗=BB∗ and CXC∗=DD∗ with applications in statistics
چکیده انگلیسی
We deduce a necessary and sufficient condition for the matrix equations AXA∗=BB∗ and CXC∗=DD∗ to have a common Hermitian nonnegative-definite solution and a representation of the general common Hermitian nonnegative-definite solution to these two equations when they have such common solutions. Thereby, we solve a statistical problem which is concerned in testing linear hypotheses about regression coefficients in the multivariate linear model. This paper is a revision of Young et al. (J. Multivariate Anal. 68 (1999) 165) whose mistake was pointed out in (Linear Algebra Appl. 321 (2000) 123).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Multivariate Analysis - Volume 93, Issue 2, April 2005, Pages 257-266
نویسندگان
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