-
31浏览
-
0点赞
-
0收藏
-
0分享
-
74下载
-
0评论
-
引用
期刊论文
A note on S
Linear Algebra and its Applications 367(2003)47-57,-0001,():
Let ƒ be a Lipschitz operator from a path-connected set DЄm into Єm, with the lub-Lipschitz constant L(ƒ) and the so-called "Gerschgorim range radius" r(ƒ) subordinate to given vector norm Ⅱ•Ⅱ of Єm, In 1986 [Numer. Math. 50 (1986) 27], Södeflind's conjectured that if r (ƒ) < L (ƒ), then there exists a new vector norm Ⅱ•Ⅱ" of Єm such that the induced lub-Lipschitz constant L* (ƒ)≤r (ƒ). In this paper, we affirmatively prove SOderlind's con-jecture for several class of Lipschitz operators f, whilst we construct a counterexample to disprove Söderlind's conjecture.
【免责声明】以下全部内容由[彭济根]上传于[2009年05月25日 16时33分56秒],版权归原创者所有。本文仅代表作者本人观点,与本网站无关。本网站对文中陈述、观点判断保持中立,不对所包含内容的准确性、可靠性或完整性提供任何明示或暗示的保证。请读者仅作参考,并请自行承担全部责任。
本学者其他成果
同领域成果