Magnus Expansion - Convergence of The Expansion

Convergence of The Expansion

From a mathematical point of view, the convergence problem is the following: given a certain matrix, when can the exponent be obtained as the sum of the Magnus series? A sufficient condition for this series to converge for is

where denotes a matrix norm. This result is generic, in the sense that one may construct specific matrices for which the series diverges for any .

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