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A Modified Direct Eigenvalue Swapping Algorithm with Guaranteed Stability

Shao, Meiyue et al.
arXiv (All) · Papers
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numerical-analysis
For a given matrix \( A \) in the real Schur form, the eigenvalue swapping algorithm is used to swap two adjacent diagonal blocks. In LAPACK, this operation is performed by the subroutine~\texttt{SLAEXC}/\texttt{DLAEXC}, which is based on a direct swapping algorithm proposed by Bai and Demmel in 199
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