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A continuation method for right definite two-parameter eigenvalue problemPlestenjak, BorMetoda zveznega nadaljevanja je bila uspešno uporabljena za klasični ▫$Ax = \lambda x$▫ in posplošeni ▫$Ax = \lambda Bx$▫ problem lastnih vresnosti. Shimsaki je uporabil metodo zveznega nadaljevanja ... za desno definitni dvoparametrični problem, ki ga dobimo z diskretizacijo dvoparametričnega Sturm-Liouvillovega problema.Nova metoda zveznega nadaljevanja je uporabna za splošni desno definitni dvoparametrični problem. Za lokalno konvergentno metodo uporabljamo iteracijo tenzorskega Rayleighovega kvocienta (TRQI), kar je posplošitev iteracije Rayleighovega kvocienta na dvoparmetrične probleme. Za metodo TRQI je dokazana konvergenca, primerjamo pa jo z Newtonovo metodo GRQI, ki so jo predstavili Ji, Jiang in Lee.Source: SIAM journal on matrix analysis and applications. - ISSN 0895-4798 (Vol. 21, no. 4, 2000, str. 1163-1184)Type of material - article, component partPublish date - 2000Language - englishCOBISS.SI-ID - 10140505
Author
Plestenjak, Bor
Topics
matematika |
numerična analiza |
linearna algebra |
večparametrični problemi lastnih vrednosti |
desno definitni dvoparametrični problem |
metoda zveznega nadaljevanja |
Newtonova metoda |
Rayleighov kvocient |
metoda TRQI |
mathematics |
numerical analysis |
linear algebra |
multiparameter eigenvalue problems |
right definite two-parameter problem |
continuation method |
Newtonʹs method |
Rayleigh quotient iteration |
TRQI method
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source: SIAM journal on matrix analysis and applications. - ISSN 0895-4798 (Vol. 21, no. 4, 2000, str. 1163-1184)
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Plestenjak, Bor | 15136 |
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