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# Geometric interpretation of the complex Riccati equation

#### M.F. Dahl

#### Journal of Nonlinear Mathematical Physics, Vol. 14, Issue 1, pp. 95-111, 2007

###
Additional material

#####
Mathematica toolbooks:

- Eigenvalues of
*4x4* matrix appearing in the proof of
Proposition * 2.2*
[ .nb ,
.html ]
- Proof of identity for
*2x2* matrices
used Section * 5.1*:
[ .nb ,
.html ]
- Plot Figure
*1.*:
[ .nb ,
.html ]
- Section
*5.2*:
Check that expressions for *K(t)* and * S(t)*
are correct:
[ .nb , .html ]
- Section
*5.2*: Check that *K(t)* and * S(t)* can
be calculated either using Proposition 2.2 or from eigenvalues
of $G$:
[ .nb ,
.html ]
- Plot Figure
*2.*:
[ .nb ,
.html ]
- Plot Figure
*3.*:
[ .nb ,
.html ]

#####
useful links:

- Reference [4] can be found here .

###
Acknowledgement

This work has been funded by the
Graduate School Of Applied Electromagnetism
and the
Institute of Mathematics
at the
Helsinki University of Technology.
### Contact

If you have questions or comments, please contact me
at matias.dahl.

Last modified 22 August 2006 --- Matias Dahl