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National Repository of Grey Literature

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	Incomplete factorizations for solving the least squares problem Riegerová, Ilona ; Tůma, Miroslav (advisor) ; Felcman, Jiří (referee) Detailed record
	Least-squares problems with sparse-dense matrices Riegerová, Ilona ; Tůma, Miroslav (advisor) ; Tichý, Petr (referee) Problém nejmenších čtverc· (dále jen LS problém) je aproximační úloha řešení soustav lineárních algebraických rovnic, které jsou z nějakého d·vodu za- tíženy chybami. Existence a jednoznačnost řešení a metody řešení jsou známé pro r·zné typy matic, kterými tyto soustavy reprezentujeme. Typicky jsou ma- tice řídké a obrovských dimenzí, ale velmi často dostáváme z praxe i úlohy s maticemi o proměnlivé hustotě nenulových prvk·. Těmi se myslí řídké matice s jedním nebo více hustými řádky. Zde rozebíráme metody řešení tohoto LS pro- blému. Obvykle jsou založeny na rozdělení úlohy na hustou a řídkou část, které řeší odděleně. Tak pro řídkou část m·že přestat platit předpoklad plné sloupcové hodnosti, který je potřebný pro většinu metod. Proto se zde speciálně zabýváme postupy, které tento problém řeší. 1 Detailed record
	Incomplete factorizations for solving the least squares problem Riegerová, Ilona ; Tůma, Miroslav (advisor) ; Felcman, Jiří (referee) Detailed record

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