Concave Perron–Frobenius Theory and applications

✍ Scribed by U. Krause

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 416 KB
• Volume: 47
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/s0362-546x(01)00281-4

✦ Synopsis

Many important results of classical Perron-Frobenius Theory can be extended from linear selfmappings of the standard cone in finite dimensional real space to concave selfmappings of this cone. This is in particular true for minima of linear mappings, albeit the spectrum of these special concave mappings is more intricate than that for linear mappings. As classical Perron-Frobenius Theory has numerous applications there are many new applications for its concave extension.