The matrix logarithm

  • John Stillwell
Part of the Undergraduate Texts in Mathematics book series (UTM)


To harness the full power of the matrix exponential we need its inverse function, the matrix logarithm function, log. Like the classical log, the matrix log is defined by a power series that converges only in a certain neighborhood of the identity. This makes results involving the logarithm more “local” than those involving the exponential alone, but in this chapter we are interested only in local information.


Normal Subgroup Tangent Space Tangent Vector Smooth Path Inverse Property 
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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of San FranciscoSan FranciscoUSA

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