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Description
| - V článku %22C.C. Paige, Z. Strakoš: Core problems in linear algebraic systems (SIAM J. Matrix Anal. Appl. 27 (2006), pp. 861-875)%22 je definován a popsán pojem core problému v ortogonálně invariantních aproximačních úlohách Ax ~ b, který extrahuje nutné a postačující informace pro řešení uvedené úlohy. V tomto článku odvodíme základní vlastnosti core problému ze známých vztahů mezi Lanczošovou třídiagonalizací a Golub-Kahanovou bidiagonalizací. (cs)
- The paper %22C.C. Paige, Z. Strakoš: Core problems in linear algebraic systems (SIAM J. Matrix Anal. Appl. 27 (2006), pp. 861-875)%22 presents a core problem formulation of orthogonally invariant linear approximation problems Ax ~ b, that extracts the necessary and sufficient information for solving the originál problem. Our contribution derives the fundamental characteristics of the core problem from the known relationship between the Golub-Kahan bidiagonalization and the Lanczos tridiagonalization.
- The paper %22C.C. Paige, Z. Strakoš: Core problems in linear algebraic systems (SIAM J. Matrix Anal. Appl. 27 (2006), pp. 861-875)%22 presents a core problem formulation of orthogonally invariant linear approximation problems Ax ~ b, that extracts the necessary and sufficient information for solving the originál problem. Our contribution derives the fundamental characteristics of the core problem from the known relationship between the Golub-Kahan bidiagonalization and the Lanczos tridiagonalization. (en)
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Title
| - Lanczos Tridiagonalization and Core Problems
- Lanczos Tridiagonalization and Core Problems (en)
- Lanczošova třídiagonalizace a core problémy (cs)
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skos:prefLabel
| - Lanczos Tridiagonalization and Core Problems
- Lanczos Tridiagonalization and Core Problems (en)
- Lanczošova třídiagonalizace a core problémy (cs)
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skos:notation
| - RIV/67985807:_____/07:00032522!RIV07-AV0-67985807
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http://linked.open.../vavai/riv/strany
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(1ET400300415), Z(AV0Z10300504)
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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:_____/07:00032522
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - linear approximation problem; orthogonal transformation; core problem; Golub-Kahan bidiagonalization; Lanczos tridiagonalization; Jacobi matrix (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - US - Spojené státy americké
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Linear Algebra and Its Applications
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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
| - Strakoš, Zdeněk
- Hnětynková, Iveta
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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is http://linked.open...avai/riv/vysledek
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