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Volume 18, Issue 2
Subspace Search Method for a Class of Least Squares Problem

Zi-Luan Wei

J. Comp. Math., 18 (2000), pp. 133-140.

Published online: 2000-04

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  • Abstract

A subspace search method for solving a class of least squares problem is presented in the paper. The original problem is divided into many independent subproblems, and a search direction is obtained by solving each of the subproblems, as well as a new iterative point is determined by choosing a suitable steplength such that the value of residual norm is decreasing. The convergence result is also given. The numerical test is also shown for a special problem.  

  • Keywords

Subspace search method, A class of least squares problem, Convergence analysis.

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COPYRIGHT: © Global Science Press

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@Article{JCM-18-133, author = {Wei , Zi-Luan}, title = {Subspace Search Method for a Class of Least Squares Problem}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {2}, pages = {133--140}, abstract = {

A subspace search method for solving a class of least squares problem is presented in the paper. The original problem is divided into many independent subproblems, and a search direction is obtained by solving each of the subproblems, as well as a new iterative point is determined by choosing a suitable steplength such that the value of residual norm is decreasing. The convergence result is also given. The numerical test is also shown for a special problem.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9029.html} }
TY - JOUR T1 - Subspace Search Method for a Class of Least Squares Problem AU - Wei , Zi-Luan JO - Journal of Computational Mathematics VL - 2 SP - 133 EP - 140 PY - 2000 DA - 2000/04 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9029.html KW - Subspace search method, A class of least squares problem, Convergence analysis. AB -

A subspace search method for solving a class of least squares problem is presented in the paper. The original problem is divided into many independent subproblems, and a search direction is obtained by solving each of the subproblems, as well as a new iterative point is determined by choosing a suitable steplength such that the value of residual norm is decreasing. The convergence result is also given. The numerical test is also shown for a special problem.  

Wei , Zi-Luan. (2000). Subspace Search Method for a Class of Least Squares Problem. Journal of Computational Mathematics. 18 (2). 133-140. doi:
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