Abstract
Parallel modifications of linear iteration schemes are proposed that are used to solve systems of liner algebraic equations and to achieve the time complexity equal to T = log2 k · O(log2 n), where k is the number of iterations of an original scheme and n is the dimension of a system. Such schemes are extended to the case of approximate solution of systems of linear differential equations with constant coefficients. Based on them and using a program, the stability of solutions in the Lyapunov sense is analyzed.
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Romm, Y.E. Parallel Iterative Schemes of Linear Algebra with Application to the Stability Analysis of Solutions of Systems of Linear Differential Equations. Cybernetics and Systems Analysis 40, 565–586 (2004). https://doi.org/10.1023/B:CASA.0000047878.21086.e9
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DOI: https://doi.org/10.1023/B:CASA.0000047878.21086.e9