Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9498603 | Linear Algebra and its Applications | 2005 | 82 Pages |
Abstract
A nice generalization of the first inequality is proved: Let â be one of the four operations +, Ã, min and max on an appropriate interval J of R. Let a, b â Jn. Denote by a â a the n Ã n matrix ai,j = ai â aj. Then the matrix a â a is more different from b â b than a â b is from b â a. Precisely, if â£Aâ£=â1⩽i,j⩽nâ£ai,jâ£, then â¥a â a â b â bâ¥Â ⩾ â¥a â b â b â aâ¥.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Joel E. Cohen, Johannes H.B. Kemperman, Gheorghe H. ZbÄganu,