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2019•E3S Web of ConferencesOpen access

Synthesis of fast and superfast solvers of large systems of linear algebraic equations in Power Flow Calculation

Magomed G. Gadzhiev, Ksenia Zhgun, Н. Е. Зубов, V. N. Ryabchenko

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Abstract

Algorithms for fast and superfast solvers of large systems of linear algebraic equations, used in solving mathematical problems of electric power industry, are proposed. These algorithms are constructed based on a novel method of multistep decomposition of a multidimensional linear dynamic system. Examples of the analytical synthesis of iterative solvers for matrices of the general form and for large numerical systems of linear algebraic equations are presented.

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Algorithms for fast and superfast solvers of large systems of linear algebraic equations, used in solving mathematical problems of electric power industry, are proposed. These algorithms are constructed based on a novel method of multistep decomposition of a multidimensional linear dynamic system. Examples of the analytical synthesis of iterative solvers for matrices of the general form and for large numerical systems of linear algebraic equations are presented.

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Available abstract

Algorithms for fast and superfast solvers of large systems of linear algebraic equations, used in solving mathematical problems of electric power industry, are proposed. These algorithms are constructed based on a novel method of multistep decomposition of a multidimensional linear dynamic system. Examples of the analytical synthesis of iterative solvers for matrices of the general form and for large numerical systems of linear algebraic equations are presented.

Key concepts: Algebraic equation, System of linear equations, Linear system, Algebraic number, Linear equation, Flow (mathematics), Applied mathematics, Mathematics

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