关于矩阵Frobenius范数的一个猜想

J4 ›› 2010, Vol. 45 ›› Issue (4): 48-50.

关于矩阵Frobenius范数的一个猜想

邹黎敏¹, 姜友谊¹，胡兴凯²

1. 重庆三峡学院数学与计算机科学学院, 重庆 404000; 2. 重庆大学数理学院, 重庆 400044

收稿日期:2009-04-07 出版日期:2010-04-10 发布日期:2010-05-19

A note on a conjecture on the Frobenius norm of matrices

ZOU Li-min¹, JIANG You-yi¹, HU Xing-kai²

1. College of Mathematics and Computer Science, Chongqing Three Gorges University, Chongqing 404000, China;
2. College of Mathematics and Physics, Chongqing University, Chongqing 400044, China

Received:2009-04-07 Online:2010-04-10 Published:2010-05-19
About author:ZOU Li-min(1984-), male, master, major in the matrix analysis. Email: limin-zou@163.com
Supported by:
Supported by Chongqing University Postgraduates’ Science and Innovation Fund (200801A 1A 0070266)

摘要/Abstract

摘要：

讨论矩阵范数的一个猜想。对于一些特殊矩阵,由Sloane和Harwit提出的关于矩阵范数的这个猜想被证明。

关键词: 范数；界；正定矩阵；谱半径

Abstract:

A conjecture on the norm of matrices is discussed. The conjecture on the norm of matrices proposed by Sloane and Harwit are proved for some special matrices.

Key words: norm; bound; positive definite matrices; spectral radius

邹黎敏1, 姜友谊1，胡兴凯2. 关于矩阵Frobenius范数的一个猜想[J]. J4, 2010, 45(4): 48-50.

ZOU Li-min1, JIANG You-yi1, HU Xing-kai2. A note on a conjecture on the Frobenius norm of matrices[J]. J4, 2010, 45(4): 48-50.

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