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Further Results for Perron–Frobenius Theorem for Nonnegative Tensors

✍ Scribed by Yang, Yuning; Yang, Qingzhi

Book ID
118211954
Publisher
Society for Industrial and Applied Mathematics
Year
2010
Tongue
English
Weight
212 KB
Volume
31
Category
Article
ISSN
0895-4798

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✍ V. Mehrmann; D.D. Olesky; T.X.T. Phan; P. van den Driessche 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 593 KB

Two different generalizations of the Perron-Frobenius theory to the matrix pencil Ax = ABx are discussed, and their relationships are studied. In one generalization, which was motivated by economics, the main assumption is that (B -A)-~A is nonnegative. In the second generalization, the main assumpt