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New parallel strategies for block updating the QR decomposition

Journal
Parallel Algorithms and Applications
Date Issued
January 1, 1995
Author(s)
Kontoghiorghes, Erricos John  
DOI
10.1080/10637199508915487
Abstract
Parallel strategies are proposed for updating the QR decomposition of an m × n matrix after adding k rows (k ≫ n). These strategies are based on Givens rotations and are found to complete the updating in fewer steps by comparison to a recently published algorithm. An efficient adaptation of the first parallel strategy to compute the QR decomposition of structured banded matrices is also discussed in detail. ©
Subjects

Banded matrices

Givens rotations

Parallel algorithms

QR decomposition

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