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	Nonlinear extensions of the Perron-Frobenius theorem and the Krein-Rutman theorem
	Chang, K. C.
	2014
关键词	Ordered Banach space increasing map eigenvector irreducible QUASILINEAR ELLIPTIC-EQUATIONS NONNEGATIVE TENSORS LARGEST EIGENVALUE OPERATORS REGULARITY MAPPINGS
英文摘要	A unification version of the Perron-Frobenius theorem and the Krein-Rutman theorem for increasing, positively 1-homogeneous, compact mappings is given on ordered Banach spaces without monotonic norm. A Collatz-type minimax characterization of the positive eigenvalue with positive eigenvector is obtained. The power method in computing the largest eigenpair is also extended.; Mathematics, Applied; Mathematics; SCI(E); 0; ARTICLE; kcchang@math.pku.edu.cn; 2; 433-457; 15
语种	英语
出处	SCI
出版者	journal of fixed point theory and applications
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157332]
专题	数学科学学院
推荐引用方式 GB/T 7714	Chang, K. C.. Nonlinear extensions of the Perron-Frobenius theorem and the Krein-Rutman theorem. 2014-01-01.

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