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The main routines tested are xTGEXC, xTGSYL, xTGSNA, and xTGSEN.
xTGEXC reorders the generalized Schur decomposition of a matrix pair,
xTGSYL solves the generalized Sylvester equation
276#276, 277#277 for 74#74 and 140#140
given 278#278, 279#279, and 280#280,
xTGSNA computes condition numbers for individual eigenvalues and
eigenvectors of a matrix pair, and
xTGSEN computes condition numbers for the average of a cluster of
eigenvalues, as well as their corresponding right invariant subspace.
Several auxiliary routines xGETC2, xGESC2, xTGDIF, xTGEX2, and
xTGSY2 exist.
**NOTE**: There are known testing failures in condition number estimation
routines in the generalized nonsymmetric eigenproblem testing.
Specifically in sgd.out, dgd.out, cgd.out and zgd.out. The cause for
the failures of some test cases is that the mathematical algorithm
used for estimating the condition numbers could over- or under-estimate
the true values in a certain factor in some rare cases.

For more details on eigencondition estimation, see LAPACK Working Note 87.

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Susan Blackford
2001-08-13