Nedashkovska A. Solving nonlinear matrix equations with the linearization method

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U000794

Thesis Registration Form

0408U000794.pdf

Applicant for

Specialization

  • 01.01.07 - Обчислювальна математика

07-02-2008

Specialized Academic Board

К 35.051.07

Essay

The dissertation deals with solving the systems of matrix equations. Effective algorithms are worked up. These algorithms are applicable to the systems of nonlinear matrix equations with random order on the set of noncommutative and commutative matrixes. They reduce the given systems to the eigenvalue problem. Method for solving systems of algebraic equations, that are given on the complex field are proposed and studied. The estimate of difficulty is given. Backward analysis of the inaccuracies is performed for the proposed algorithms.

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