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##

Numerical Examples

We have provided implementations for the sample problems described.

We present the examples and their verbose outputs. We have included
these outputs so the reader can check that his/her copy of the package
is executing properly. The user should be running MATLAB (version 5
or compatible) in the following directory:

>> !ls
Fline.m dgrad.m grad.m move.m sg_min.m
README dimension.m gradline.m nosym.m sg_newton.m
clamp.m dtangent.m invdgrad_CG.m partition.m sg_prcg.m
connection.m examples invdgrad_MINRES.m sg_dog.m tangent.m
dFline.m finitediff ip.m sg_frcg.m

(Note that there may also be the additional subdirectories
`docs/`

or `@cell/`

.)
Each example problem has a subdirectory in the `examples`

subdirectory.

>> !ls examples
jordan ldatoy procrustes simdiag simschur tracemin

Each of these subdirectories contains
an implementation for ( and ),
which sets the (global) parameters
of (this function must be called before any other), a `guess`

function to generate an initial guess, and possibly some auxiliary
functions for computing , related quantities, or instances
of a specific problem.
>> !ls examples/ldatoy
F.m dF.m guess.m
Kinetic.m ddF.m parameters.m
>> !ls examples/jordan
Block.m dBlock.m ddF.m guess.m post.m
F.m dF.m frank.m parameters.m

We executed the examples in the supported
optimization modes ('newton', 'dog', 'frcg', and 'prcg')
and the 'euclidean' metric.
For different instances of the same problem,
different modes might perform best, so the reader should not feel
that a particular mode will exhibit
superior performance in all instances.

**Subsections**

** Next:** A Sample Procrustes Problem
** Up:** Nonlinear Eigenvalue Problems with
** Previous:** Simultaneous Diagonalization
** Contents**
** Index**
Susan Blackford
2000-11-20