مشخصات پژوهش

عنوان	On the codimension of the variety of symmetric matrices with multiple eigenvalues
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Symmetric matrices, Algebraic equation, Codimension, Eigenvalues
چکیده	According to a result of Wigner and von Neumann, the dimension of the set M of n × n real symmetric matrices with multiple eigenvalues is equal to N −2, where N = n(n+1)/2. This value is determined by counting the number of free parameters in the spectral decomposition of a matrix. We show that the same dimension is obtained if M is interpreted as an algebraic variety.
پژوهشگران	منصور دانا (نفر اول)، خ. د ایکراموف (نفر دوم)