added a routine to use DSTEGR #2
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DSTEGR is a wrapper over DSTEMR, both of which are routines that diagonalise a tri-diagonal matrix. The former fixes the value of the TRYRAC variable, which supposedly causes some of the trouble:
Reference-LAPACK/lapack#151 (comment)
DSYEVR = DSYTRD + DSTEMR
NewRtine = DSYTRD + DSTEGR
There seems to be some weird differences in the vectors.