Golden–Thompson inequality

Golden–Thompson inequality

In mathematics, the Golden–Thompson inequality is as follows. Suppose "A" and "B" are Hermitian matrices. Then

: operatorname{tr}, e^{A+B} le operatorname{tr} left(e^A e^B ight)

where tr is the trace, and "e""A" is the matrix exponential.

References

* J.E. Cohen, S. Friedland, T. Kato, F. Kelly, "Eigenvalue inequalities for products of matrix exponentials", Linear algebra and its applications, Vol. 45, pp. 55-95, 1982.


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