library(QZ, quiet = TRUE)
### https://www.nag.com/lapack-ex/node94.html
A <- exA1$A
ret <- qz.zgees(A)
# Verify 1
A.new <- ret$Q %*% ret$T %*% H(ret$Q)
round(A - A.new)
# verify 2
round(ret$Q %*% H(ret$Q))
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