The Effects of Aggregation on the Perron Root and its Corresponding Eigenvector

Dietzenbacher E (1986). The Effects of Aggregation on the Perron Root and its Corresponding Eigenvector. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-86-065

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Abstract

In this paper the behaviour of the Perron root and its corresponding eigenvector is examined, when the underlying matrix is being aggregated. Bounds are presented for the Perron root and the elements of the Perron vector of the resultant matrix. The bounds are mainly expressed in terms of the Perron root and vector of the original matrix. As an application aggregation in input-output analysis is considered.

Item Type: Monograph (IIASA Working Paper)
Research Programs: System and Decision Sciences - Core (SDS)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 01:56
Last Modified: 21 Jul 2016 17:05
URI: http://pure.iiasa.ac.at/2795

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