Solving an abstract nonlinear eigenvalue problem by the inverse iteration method

Grey Ercole

Please use this identifier to cite or link to this item: http://hdl.handle.net/1843/37403

Type:	Artigo de Periódico
Title:	Solving an abstract nonlinear eigenvalue problem by the inverse iteration method
Other Titles:	Resolvendo um problema abstrato de autovalor não linear pelo método de iteração inversa
Authors:	Grey Ercole
Abstract:	Let (X,‖·‖X) and (Y, ‖·‖ Y) be Banach spaces over R, with X uniformly convex and compactly embedded into Y. The inverse iteration method is applied tosolve the abstract eigenvalue problem A (w) = λ ‖ w ‖ p−q Y B (w), where the maps A: X→X and B: Y→Y are homogeneous of degreesp−1 and q−1, respectively.
Abstract:	Sejam (X, ‖ · ‖X) e (Y, ‖ · ‖ Y) espaços de Banach sobre R, com X uniformemente convexo e compactamente embutido em Y. O método de iteração inversa é aplicado para resolver o problema de autovalor abstrato A (w) = λ ‖ w ‖ p − q YB (w), onde os mapas A: X → X e B: Y → Y são homogêneos de graus p − 1 e q − 1, respectivamente.
Subject:	Autovalores Matriz inversa Equações diferenciais elípticas Métodos iterativos (Matemática)
language:	eng
metadata.dc.publisher.country:	Brasil
Publisher:	Universidade Federal de Minas Gerais
Publisher Initials:	UFMG
metadata.dc.publisher.department:	ICX - DEPARTAMENTO DE MATEMÁTICA
Rights:	Acesso Aberto
metadata.dc.identifier.doi:	https://doi.org/10.1007/s00574-018-0070-3
URI:	http://hdl.handle.net/1843/37403
Issue Date:	Sep-2018
metadata.dc.url.externa:	https://link.springer.com/article/10.1007/s00574-018-0070-3
metadata.dc.relation.ispartof:	Bulletin of the Brazilian Mathematical Society
Appears in Collections:	Artigo de Periódico

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