Substochastic matrices and von Neumann majorization

✍ Scribed by P Fischer

• Book ID: 104155900
• Publisher: Elsevier Science
• Year: 1987
• Tongue: English
• Weight: 430 KB
• Volume: 93
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(87)90328-4

✦ Synopsis

Several classes of substochastic matrices are introduced in higher dimensions, and some theorems about their extreme points are presented. An extension of a theorem of von Neumann concerning doubly substochastic matrices is discussed, and the classes for which this extension remains valid are determined.