A formula for inverse matrix
Alexander Roi Stoyanovsky
TL;DR
This paper presents a generalized formula for the inverse of an infinite matrix with potentially noncommutative entries, extending classical interpolation and Taylor formulas to a broader algebraic context.
Contribution
It introduces a novel inverse matrix formula applicable to infinite matrices with noncommutative entries, broadening the scope of matrix inversion techniques.
Findings
Generalized inverse formula for infinite matrices
Applicable to matrices with noncommutative entries
Extends classical interpolation and Taylor formulas
Abstract
We give a formula for the inverse matrix to an infinite matrix with possibly noncommutative entries, generalizing the Newton interpolation formula and the Taylor formula.
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Taxonomy
TopicsMatrix Theory and Algorithms · Mathematics and Applications · Advanced Topics in Algebra