A lower bound on the C-numerical radius of nilpotent matrices appearing in coherent spectroscopy

被引：6
|
作者：
Li, CK
Woerdeman, HJ
机构：
[1] Coll William & Mary, Dept Math, Williamsburg, VA 23185 USA
[2] Drexel Univ, Dept Math, Philadelphia, PA 19104 USA
来源：
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 2005年 / 27卷 / 03期
关键词：
C-numerical radius; NMR spectroscopy; nilpotent matrices;
D O I：
10.1137/040613330
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide a lower bound for the efficiency of polarization or coherence transfer between quantized states under unitary transformations. Mathematically the problem is the determination of the C-numerical radius of A for certain nilpotent matrices C and A. The presented lower bound is conjectured to be exact as it coincides with numerical data provided in [U. Helmke et al., J. Global Optim., 23 (2002), pp. 283 - 308].
引用
收藏
页码：793 / 800
页数：8
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