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math.NA2017
A treatment of breakdowns and near breakdowns in a reduction of a matrix to upper -Hessenberg form and related topics
Ahmed Salam, Haithem Ben Kahla
The reduction of a matrix to an upper -Hessenberg form is a crucial step in the -algorithm (which is a -like algorithm), structure-preserving, for computing eigenvalues…
math.NA2016★ 1 cited
An upper - Hessenberg reduction of a matrix through symplectic Householder transformations
Ahmed Salam, Haithem Ben Kahla
In this paper, we introduce a reduction of a matrix to a condensed form, the upper - Hessenberg form, via elementary symplectic Householder transformations, which are rank-one m…