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Title: A QZ-algorithm for semiseparable matrices
Authors: Vanberghen, Yvette
Vandebril, Raf
Van Barel, Marc
Issue Date: Oct-2006
Publisher: K.U.Leuven, Department of Computer Science
Series Title: TW Reports vol:TW471
Abstract: This manuscript focusses on the translation of the traditional eigenvalue problem, based on sparse matrices, towards a structured rank approach. An effective reduction of a matrix pair to lower semiseparable, upper triangular form will be presented as well as a QZ-method for this matrix pair. Important to remark is that this reduction procedure also inherits a kind of nested subspace iteration as was the case in the regular eigenvalue problem based on semiseparable matrices. It will also be shown, that the QZ-method for structured rank matrices is closely related to the traditional QZ-method for sparse matrices.
URI: 
Publication status: published
KU Leuven publication type: IR
Appears in Collections:Numerical Analysis and Applied Mathematics Section

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