On the incomplete oblique projections method for solving box constrained least squares problems

被引：0
|
作者：
Scolnik, H. [1 ]
Echebest, N. [2 ]
Guardarucci, M. T. [3 ]
机构：
[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Comp, Buenos Aires, DF, Argentina
[2] Univ Nacl La Plata, Fac Ciencias Exactas, Dept Matemat, RA-1900 La Plata, Buenos Aires, Argentina
[3] Univ Nacl La Plata, Fac Ingn, Dept Ciencias Basicas, RA-1900 La Plata, Buenos Aires, Argentina
来源：
NUMERICAL ALGORITHMS | 2014年 / 66卷 / 01期
关键词：
Inconsistent systems; Box constrained; Incomplete projections; ITERATIVE ALGORITHMS; SPLIT FEASIBILITY; APPROXIMATION;
D O I：
10.1007/s11075-013-9721-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to extend the applicability of the incomplete oblique projections method (IOP) previously introduced by the authors for solving inconsistent linear systems to the box constrained case. The new algorithm employs incomplete projections onto the set of solutions of the augmented system Ax - r = b, together with the box constraints, based on a scheme similar to the one of IOP, adding the conditions for accepting an approximate solution in the box. The theoretical properties of the new algorithm are analyzed, and numerical experiences are presented comparing its performance with some well-known methods.
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页码：17 / 32
页数：16
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