Abstract
In this paper the formula of the exponential matrix e A when A is a semi skew-symmetric real matrix of order 4 is derived. The formula is a generalization of the Rodrigues formula for skew-symmetric matrices of order 3 in Minkowski 3-space.
Highlights
The computation of matrix functions has been one of the most challenging problems in numerical linear algebra
In the last years the problem has been studied after the introduction of Lie group methods to solve numerically systems of ordinary differential equations
According to these methods the differential system is solved in a Lie algebra using a coordinate map defined from the algebra to its related group
Summary
The computation of matrix functions has been one of the most challenging problems in numerical linear algebra. Among the explicit formulas only the Rodrigues formula allows the computation of e A when A is a skew-symmetric real matrix − 1 ε of order 3 in Minkowski 3-space.If is the matrix
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