An experimental comparison of methods for computing the numerical radius

被引：1

作者：

Mitchell, Tim ^{[1
]}

Overton, Michael L. ^{[2
]}

机构：

[1] CUNY Queens Coll, Dept Comp Sci, 65-30 Kissena Blvd, Flushing, NY 11367 USA

[2] NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA

来源：

RESULTS IN APPLIED MATHEMATICS | 2024年 / 21卷

基金：

美国国家科学基金会;

关键词：

Semidefinite programming; Convex optimization; Nonconvex optimization; Field of values; Numerical range; VALUES; ALGORITHM; MATRIX;

D O I：

10.1016/j.rinam.2024.100434

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We make an experimental comparison of methods for computing the numerical radius of an n x n complex matrix, based on two well-known characterizations, the first a nonconvex optimization problem in one real variable and the second a convex optimization problem in n(2) + 1 real variables. We make comparisons with respect to both accuracy and computation time using publicly available software.

引用

页数：4

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