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A Study of Lanczos-Type Iterations for Symmetric Indefinite Linear Systems

Please always quote using this URN: urn:nbn:de:0297-zib-1029
  • The Lanczos iteration for symmetric indefinite linear systems seems to be well--known for quite a while. However, in order to modify it with the aim of improved performance, the present paper studies certain aspects in terms of an adjoint scalar three--term recurrence. Thus, at least a different view is opened. Moreover, an alternative $3n$--implementation in terms of the Euclidean orthogonal basis has been found that easily permits generalizations. The study is understood as a start--off for further numerical investigations and experiments.

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Metadaten
Author:Peter Deuflhard
Document Type:ZIB-Report
Date of first Publication:1993/02/25
Series (Serial Number):ZIB-Report (SC-93-06)
ZIB-Reportnumber:SC-93-06
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