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  • 标题:Numerical Solution of a Block Adjustment by Stable QR Factorization
  • 本地全文:下载
  • 作者:Fabio Crosilla
  • 期刊名称:ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences
  • 印刷版ISSN:2194-9042
  • 电子版ISSN:2194-9050
  • 出版年度:1992
  • 卷号:XXIX Part B3
  • 页码:101-108
  • 出版社:Copernicus Publications
  • 摘要:The solution of a great, sparse, over-determined linear or linearized system ofequations needs euristics such as 'minimum degree' and 'dissection' to control fill-inso to reduce costs and resources. Euristics applied up to now are general and have beenstudied to be coupled with the method of solution of a normal system of equations. Thepurpose of this paper is double: to present a new euristic for a sub-class of problemsincluding adjustment procedures and solve the matrix block structure so obtained by amodified version of the classic QR factorization. In this way, fill-in resultscompletely confined into blocks that, according to their location within the matrix,allow to obtain a method of solution that is stable, less expensive and efficient forparallel implementations.
  • 关键词:fill-in; euristic; QR factorization
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