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Parallel variable distribution for total least squares
Author(s) -
Guo Hongbin,
Renaut Rosemary A.
Publication year - 2005
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.426
Subject(s) - mathematics , domain decomposition methods , variable (mathematics) , least squares function approximation , distribution (mathematics) , algorithm , domain (mathematical analysis) , decomposition , parallel algorithm , mathematical optimization , statistics , finite element method , mathematical analysis , ecology , physics , estimator , biology , thermodynamics
A novel parallel method for determining an approximate total least squares (TLS) solution is introduced. Based on domain decomposition, the global TLS problem is partitioned into several dependent TLS subproblems. A convergent algorithm using the parallel variable distribution technique ( SIAM J. Optim. 1994; 4 :815–832) is presented. Numerical results support the development and analysis of the algorithms. Copyright © 2005 John Wiley & Sons, Ltd.