A sufficient, condition for optimizing a real valued function is obtained by generalizing the Rayleigh-Ritz theorem. A total order with the same basic property of majorization is defined for Rn, By this order conditions are developed for optimizing vector functions. Economic applications using optimization are considered.
Fineschi, F., Giannetti, R. (2001). Evaluation of optimization by a total order in Rn 1. JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 4(1), 9-24 [10.1080/09720502.2001.10700285].
Evaluation of optimization by a total order in Rn 1
FINESCHI, FRANCO;GIANNETTI, RICCARDO
2001-01-01
Abstract
A sufficient, condition for optimizing a real valued function is obtained by generalizing the Rayleigh-Ritz theorem. A total order with the same basic property of majorization is defined for Rn, By this order conditions are developed for optimizing vector functions. Economic applications using optimization are considered.
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https://hdl.handle.net/11365/976805
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