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rdf:type
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Description
| - In this paper we give explicit expressions for the norms of the residual vectors generated by the GMRES algorithm applied to a non-normal matrix. They involve the right-hand side of the linear system, the eigenvalues, the eigenvectors and, in the non-diagonalizable case, the principal vectors. They give a complete description of how eigenvalues contribute in forming residual norms and offer insight in what quantities can prevent GMRES from being governed by eigenvalues.
- In this paper we give explicit expressions for the norms of the residual vectors generated by the GMRES algorithm applied to a non-normal matrix. They involve the right-hand side of the linear system, the eigenvalues, the eigenvectors and, in the non-diagonalizable case, the principal vectors. They give a complete description of how eigenvalues contribute in forming residual norms and offer insight in what quantities can prevent GMRES from being governed by eigenvalues. (en)
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Title
| - The Role Eigenvalues Play in Forming GMRES Residual Norms with Non-Normal Matrices
- The Role Eigenvalues Play in Forming GMRES Residual Norms with Non-Normal Matrices (en)
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skos:prefLabel
| - The Role Eigenvalues Play in Forming GMRES Residual Norms with Non-Normal Matrices
- The Role Eigenvalues Play in Forming GMRES Residual Norms with Non-Normal Matrices (en)
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skos:notation
| - RIV/67985807:_____/15:00430466!RIV15-GA0-67985807
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/67985807:_____/15:00430466
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - GMRES convergence; non-normal matrix; eigenvalues; residual norms (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Duintjer Tebbens, Jurjen
- Meurant, G.
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http://linked.open...ain/vavai/riv/wos
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issn
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number of pages
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http://bibframe.org/vocab/doi
| - 10.1007/s11075-014-9891-3
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