Accurate quotient-difference algorithm: Error analysis, improvements and applications

The compensated quotient-difference (Compqd) algorithm is proposed along with some applications. The main motivation is based on the fact that the standard quotient-difference (qd) algorithm can be numerically unstable. The Compqd algorithm is obtained by applying error-free transformations to impro...

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Vydáno v:	Applied mathematics and computation Ročník 309; s. 245 - 271
Hlavní autoři:	Du, Peibing, Barrio, Roberto, Jiang, Hao, Cheng, Lizhi
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Elsevier Inc 15.09.2017
Témata:	Compensated qd algorithm Continued fractions Error-free transformation Pole detection Qd algorithm Rounding error Rounding error Compensated qd algorithm Qd algorithm Pole detection Error-free transformation Continued fractions
ISSN:	0096-3003, 1873-5649
On-line přístup:	Získat plný text
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