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A multidimensional extremal problem in the idempotent algebra setting is considered which consists in minimizing a nonlinear functional defined on a finite-dimensional semimodule over an idempotent semifield. The problem integrates two other known problems by combining their objective functions into one general function and includes these problems as particular cases. A new solution approach is proposed based on the analysis of linear inequalities and spectral properties of matrices. The approach offers a comprehensive solution to the problem in a closed form that involves performing simple matrix and vector operations in terms of idempotent algebra and provides a basis for the development of efficient computational algorithms and their software implementation.
|Название основной публикации||Advances in Computer Science: Proc. 6th Europ. Computing Conf. (ECC'12), Prague, Czech Republic, September 24-26, 2012. Vol. 5 of Recent Advances in Computer Engineering Series.|
|Издатель||WSEAS - World Scientific and Engineering Academy and Society|
|Страницы||528 стр., 146-151|
|ISBN (печатное издание)||978-1-61804-126-5|
|Состояние||Опубликовано - 2012|