کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4603367 1336958 2008 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The distance from a matrix polynomial to matrix polynomials with a prescribed multiple eigenvalue
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
The distance from a matrix polynomial to matrix polynomials with a prescribed multiple eigenvalue
چکیده انگلیسی

For a matrix polynomial P(λ) and a given complex number μ, we introduce a (spectral norm) distance from P(λ) to the matrix polynomials that have μ as an eigenvalue of geometric multiplicity at least κ, and a distance from P(λ) to the matrix polynomials that have μ as a multiple eigenvalue. Then we compute the first distance and obtain bounds for the second one, constructing associated perturbations of P(λ).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 429, Issue 7, 1 October 2008, Pages 1453-1477