NUMERICAL-ANALYTICAL DECOMPOSITION METHODS FOR SOLVING LINEAR ONE-PARAMETRIC NON-CORRECT SETS OF FINITE EQUATIONS WITH COMPLEX MATRICES (II)

Authors

  • S.H. Simonyan National Polytechnic University of Armenia Author
  • M.A. Adamyan Yerevan State University Author

Keywords:

linear one-parametric non correct sets of finite equations, block-matrix-column equivalent, block-matrix-row equivalent, differential transformations, matrix discretes, constructive numerical-analytical decomposition methods of solution.

Abstract

On the basis of the combined use [1] of the block-matrix-column equivalent (12) and differential transformations, as well as the block-matrix-row equivalent (17) and differential transformations: – two numerical-analytical decomposition methods for solving linear one-parametric non-correct sets of finite equations with complex matrices have been proposed. In both cases, the matrix recurrent chains of component definition– the matrix discrete generalized reverse matrices figuring in the solutions of initial tasks (the first stage of computations) are received. Further computing procedures lead to the multiplication of the found generalized reverse matrices upon the vector of free right parts of corresponding initial linear one-parametric non-correct sets of finite equations with complex matrices (the second stage of computations).

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Published

18.09.2026

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