Orthogonal Systems with a Skew-Symmetric Differentiation Matrix
نویسندگان
چکیده
منابع مشابه
A Range Associated with Skew Symmetric Matrix
We study the range S(A) := {xT Ay : x, y are orthonormal in Rn}, where A is an n×n complex skew symmetric matrix. It is a compact convex set. Power inequality s(A) ≤ s(A), k ∈ N, for the radius s(A) := maxξ∈S(A) |ξ| is proved. When n = 3, 4, 5, 6, relations between S(A) and the classical numerical range and the k-numerical range are given. Axiomatic characterization of S(A) is given. Sharp poin...
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ژورنال
عنوان ژورنال: Foundations of Computational Mathematics
سال: 2019
ISSN: 1615-3375,1615-3383
DOI: 10.1007/s10208-019-09435-x