Content deleted Content added
Line 12:
== Power series expression ==
If ''B'' is sufficiently close to the identity matrix, then a logarithm of ''B'' may be computed by means of the [[power series]]
: <math>\log(B)=\log(I-(I-B))= -\sum_{k=1}^{\infty} \frac{(I-B)^k}{k
</math>.
Specifically, if <math>\left\|I-B\right\|<1</math>, then the preceding series converges and <math>e^{\log(B)}=B</math>.<ref>{{harvnb|Hall|2015}} Theorem 2.8</ref>
| |||