Numerical investigation of Crouzeix's conjecture
نویسندگان
چکیده
منابع مشابه
Numerical Investigation of Crouzeix’s Conjecture
Crouzeix’s conjecture states that for all polynomials p and matrices A, the inequality ‖p(A)‖ ≤ 2 ‖p‖W (A) holds, where the quantity on the left is the 2-norm of the matrix p(A) and the norm on the right is the maximum modulus of the polynomial p on W (A), the field of values of A. We report on some extensive numerical experiments investigating the conjecture via nonsmooth minimization of the C...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2018
ISSN: 0024-3795
DOI: 10.1016/j.laa.2017.04.035