eigen tests fail on nightly

[simeonschaub]

See for example https://github.com/JuliaDiff/ChainRules.jl/pull/421/checks?check_run_id=2697576261:

Test Summary:                                            |  Pass  Fail  Broken  Total
ChainRules                                               | 23210     3       4  23217
  rulesets                                               | 23210     3       4  23217
    Base                                                 |  6510             4   6514
    Statistics                                           |    12                   12
    LinearAlgebra                                        | 16643     3          16646
      dense                                              |   585                  585
      norm functions                                     |  1592                 1592
      normalize                                          |    90                   90
      matrix functions                                   |   133                  133
      Structured Matrices                                |   412                  412
      Symmetric/Hermitian rules                          |  3556                 3556
      Factorizations                                     |   505     3            508
        lu decomposition                                 |   159                  159
        svd                                              |   226                  226
        eigendecomposition                               |   104     3            107
          eigen/eigen!                                   |    67     3             70
            eigen!(::Matrix{Float64}) frule              |     7                    7
            eigen!(::Matrix{ComplexF64}) frule           |     4     2              6
              tangents are real when outputs are         |     1                    1
            eigen(::Matrix{Float64}) rrule               |     8                    8
            eigen(::Matrix{ComplexF64}) rrule            |     6     1              7
            normalization/phase functions are idempotent |     4                    4
            normalization/phase functions are idempotent |     4                    4
            hermitian matrices                           |    34                   34
          eigvals/eigvals!                               |    37                   37
        cholesky                                         |    16                   16
      BLAS                                               |  9354                 9354
      LAPACK                                             |   416                  416
    Random                                               |    45                   45
    packages                                             |                      No tests
ERROR: LoadError: Some tests did not pass: 23210 passed, 3 failed, 0 errored, 4 broken.

[simeonschaub]

Will likely take a while for nightlies to propagate through, but then we should hopefully have passing tests on nightly again.