Matrix representation of Taylor’s formula for mappings in finite dimensional spaces
Journal Title: Математичні Студії - Year 2019, Vol 51, Issue 1
Abstract
In this paper, the matrix representations of derivatives, differentials and Taylor’s formulas for functionals and mappings are presented. The behavior law of intermediate points in the formula’s remainder terms is found for shrinking the expansion interval of mapping to a point. This, in particular, allows one to analyze the local uncertainties in the remainder terms of Taylor’s formula and to develop and explore the new effective methods for solving systems of nonlinear algebraic equations.
Authors and Affiliations
P. Senio
Keywords
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- EP ID EP584905
- DOI 10.15330/ms.51.1.92-106
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