کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6416364 | 1631129 | 2015 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Each symplectic matrix is a product of four symplectic involutions
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Each symplectic matrix is a product of four symplectic involutions Each symplectic matrix is a product of four symplectic involutions](/preview/png/6416364.png)
چکیده انگلیسی
Gustafson, Halmos, and Radjavi in 1973 proved that each matrix A with detâ¡A=±1 is a product of four involutions. We prove that these involutions can be taken to be symplectic if A is symplectic (every symplectic matrix has unit determinant). Using this result we give an alternative proof of Laffey's theorem that every nonsingular even size matrix is a product of skew symmetric matrices. Ballantine in 1978 proved that each matrix A with |detâ¡A|=1 is a product of four coninvolutions. We prove that these coninvolutions can be taken to be symplectic if A is symplectic. We also prove that each Hamiltonian matrix is a sum of two square zero Hamiltonian matrices.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 466, 1 February 2015, Pages 382-400
Journal: Linear Algebra and its Applications - Volume 466, 1 February 2015, Pages 382-400
نویسندگان
Ralph John de la Cruz,