UDC 519.6
METHODS OF LINEAR ALGEBRA IN PROBLEMS OF THE ANALYSIS OF CERTAIN
CLASSES OF NONLINEAR DISCRETELY TRANSFORMATIVE SYSTEMS.
I. MULTIPLICATIVELY NON-LINEAR SYSTEMS
Abstract. The ideas and methods of pseudo-inversion of linear algebraic systems are propagated to problems of constructing the best root-mean square approximation to solutions of nonlinear discretely transformative systems. The cases are considered where the form of nonlinearity is defined by a Cartesian product or iterative specification of linearly transformed input. Pseudo-solutions of quadratic nonlinear systems and systems of arbitrary order of nonlinearity are constructed and analyzed for accuracy and uniqueness.
Keywords: pseudo-inversion, nonlinear discretely transformative systems, nonlinear algebraic systems, multiplicatively nonlinear systems.
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