The direct method is one of the most important algorithms for solving linear systems of equations, with LU decomposition comprising a significant portion of its computation time. This study explores strategies to accelerate complex LU decomposition using multiple-precision floating-point arithmetic of the multiple-component type. Specifically, we explore the potential efficiency gains using a combination of SIMDization and the 3M method for complex matrix multiplication. Our benchmark tests compare this approach with the direct method implementation in MPLAPACK, focusing on computation time and numerical errors.
The paper presents the results of a pilot study of the possibility of using a value-based approach to managing city development programs. The value model of a person includes a static description of the values, motivations and expectations of a person, taking into account his social, demographic group and life situation. The value model of life in the city involves the description of transitions between motivated and non-motivated social groups. City development management is considered from the point of view of the composition of development projects, which requires the formation of a way of presenting the project in the “language” of a value management model, which includes an assessment of the timeliness of the city development project. The paper proposes to determine the values of residents through social media profiles and comments generated by users. Values are described using the Schwartz method. The work contains comments from sources - Google Maps, Telegram, Vkontakte. To validate the information received, a survey of residents was conducted, to compare a real person with a virtual profile, using the revealed correlations, it was concluded that with the help of information from social networks, it is possible to determine values and use them to manage city development programs.
