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[Lapack] Request: deprecate xPTEQR

Dear LAPACK team,

seeing the recent deprecation of several functions (cf. rev. 1593, 1575,
1563) , I hereby propose to deprecate xPTEQR. xPTEQR is an eigensolver
for hermitian positive definite tridiagonal matrices. A real drawback
is its need to compute a Cholesky factorization yet it offers no subset
computations, or speed and accuracy advantages [1] to compensate for
that. Moreover, the only functions calling xPTEQR are xERRST and

(The title is based on LAWN 183, "Performance and Accuracy
of LAPACK's Symmetric Tridiagonal Eigensolvers".)

Christoph Conrads

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