QR Decomposition Based on Double-double Precision Gram-Schmidt Orthogonalization Method

The Gram-Schmidt orthogonalization algorithm and its related modified algorithms often show numerical instability when computing ill-conditioned or large-scale matrices.To solve this problem, this paper explores the cumulative effect of round-off errors of modified Gram-Schmidt algorithm（MGS）,and th...

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Vydané v:	Ji suan ji ke xue Ročník 50; číslo 6; s. 45 - 51
Hlavní autori:	Jin, Jiexi, Xie, Hehu, Du, Peibing, Quan, Zhe, Jiang, Hao
Médium:	Journal Article
Jazyk:	Chinese
Vydavateľské údaje:	Chongqing Guojia Kexue Jishu Bu 01.06.2023 Editorial office of Computer Science
Predmet:	Accuracy Algorithms Floating point arithmetic gram-schmidt algorithm|qr decomposition|error-free transformation|double-double precision algorithm|roundoff error|floating-point arithmetic Numerical stability Orthogonality Performance tests Roundoff error Stability
ISSN:	1002-137X
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