Publication

Block algorithms for reordering standard and generalized Schur forms

Daniel Kressner
2006
Journal paper

Abstract

Block algorithms for reordering a selected set of eigenvalues in a standard or generalized Schur form are proposed. Efficiency is achieved by delaying orthogonal transformations and (optionally) making use of level 3 BLAS operations. Numerical experiments demonstrate that existing algorithms, as currently implemented in LAPACK, are outperformed by up to a factor of four.

Official source

https://infoscience.epfl.ch/record/165574?ln=en

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Block algorithms for reordering standard and generalized Schur forms

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Singular quadratic eigenvalue problems: linearization and weak condition numbers

Iterative refinement of Schur decompositions