کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5773237 1631079 2017 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Factorizations into normal matrices in indefinite inner product spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Factorizations into normal matrices in indefinite inner product spaces
چکیده انگلیسی

We show that any nonsingular (real or complex) square matrix can be factorized into a product of at most three normal matrices, one of which is unitary, another is selfadjoint with eigenvalues in the open right half-plane, and the third one is normal involutory with a neutral negative eigenspace (we call the last matrix normal neutral involutory). Here the words normal, unitary, selfadjoint and neutral are understood with respect to an indefinite inner product.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 516, 1 March 2017, Pages 143-166
نویسندگان
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