The Shadow Vector in the Lanczos Method

0404016 - UIVT-O 20000154 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Tichý, Petr
The Shadow Vector in the Lanczos Method.
Proceedings of the XIIIth summer school software and algorithms of numerical mathematics. Plzeň: University of West Bohemia, 1999, s. 309-312. ISBN 80-7082-566-9.
[SANM'99. Summer School on Software and Algorithms of Numerical Mathematics /13./. Nečtiny (CZ), 06.09.1999-10.09.1999]
Grant CEP: GA ČR GA201/99/0267
Výzkumný záměr: AV0Z1030915
Kód oboru RIV: BA - Obecná matematika

The left starting vector, also called shadow vector, is one of the parameters of Krylov subspace methods for solving systems of linear equations based on the nonsymetric Lanczos process. We will shov various choices of this vector that cause equality of certain residual vectors of another Krylov subspace method like GMRES.
Trvalý link: http://hdl.handle.net/11104/0124297