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A Jacobi-Davidson type method for a right definite two-parameter eigenvalue problemHochstenbach, Michiel E. ; Plestenjak, BorPredstavljena je nova numerična metoda za računanje izbranih lastnih parov desno definitnega dvoparametričnega problema lastnih vrednosti. Metoda deluje brez dobrih začetnih približkov in z njo se ... lahko lotimo tudi problemov, ki so preveliki za obstoječe metode. Podobna je Jacobi-Davidsonovi metodi za problem lastnih vrednosti. V vsakem koraku najprej izračunamo Ritzov par manjšega projiciranega desno definitnega dvoparametričnega problema in potem s približno rešitvijo ustreznih korekcijskih enačb razširimo podprostor, v katerem iščemo. Predstavljeni sta dve možnosti za korekcijske enačbe, potem metoda, ki omogoča, da izračunamo več kot en lastni par, in še nekaj numeričnih rezultatov.Source: SIAM journal on matrix analysis and applications. - ISSN 0895-4798 (Vol. 24, no. 2, 2002, str. 392-410)Type of material - article, component partPublish date - 2002Language - englishCOBISS.SI-ID - 12496473
Author
Hochstenbach, Michiel E. |
Plestenjak, Bor
Topics
matematika |
numerična linearna algebra |
desno definitni dvoparametrični problem lastnih vrednosti |
metoda podprostora |
Jacobi-Davidsonova metoda |
korekcijska enačba |
Ritzov par |
neeksaktna Newtonova metoda |
mathematics |
numerical linear algebra |
right definite two-parameter eigenvalue problem |
subspace method |
Jacobi-Davidson method |
correction equation |
Ritz pair |
inexact Newton's method
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source: SIAM journal on matrix analysis and applications. - ISSN 0895-4798 (Vol. 24, no. 2, 2002, str. 392-410)
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Hochstenbach, Michiel E. | ![]() |
Plestenjak, Bor | 15136 |
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