SQUARES

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  • 期刊=Numerical Mathematics（Theory,Methods and Applications）x
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THE SOLUBILITY OF THE MULTIDIMENSIONAL TLS PROBLEM
《Numerical Mathematics A Journal of Chinese Universities(English Series)》1998年第2期121-124,共4页颜世建 徐玲玲 范金燕 黄开斌 
Supported by the National Natural Science Foundation of China
A necessary and sufficient condition of the solubility far the multidimensional TLS problem is presented.
关键词：The total least SQUARES PROBLEM the nonlinear MINIMIZATION problems. 
THE NESTED TOTAL LEAST SQUARES PROBLEM:FORMULATION,SOLUTIONS AND PERTURBATION ANALYSIS
《Numerical Mathematics A Journal of Chinese Universities(English Series)》1996年第1期103-117,共15页魏木生 陈务深 
This author was supported by the National Natural Sciences Foundation, P. R. China.
In this paper, we propose the nested totoal least squatres problem (NTLS), which is an extension of the equality constrained least squares problem (LSE). The formulation of the NTLS problem is given and the solution s...
关键词：Nested totalleast SQUARES SINGULAR VALUE PERTURBATION 
A SELF-ADAPTIVE ALGORITHM FOR NONLINEAR LEAST SQUARES WITH LINEAR CONSTRAINTS
《Numerical Mathematics A Journal of Chinese Universities(English Series)》1995年第2期164-175,共12页杨富贵 邹志鸿 盛松柏 
Supported by The Natural Science Fundations of China and Jiangsu
An algorithm for solving nonlinear least squares problems with general linear inequality constraints is described.At each step,the problem is reduced to an unconstrained linear least squares problem in a subs pace def...
关键词：nonlinear least SQUARES linear INEQUALITY constraints QUASI-NEWTON METHOD TRUST region METHOD global convergence. 
ON THE ACCURACY OF THE LEAST SQUARES AND THE TOTAL LEAST SQUARES METHODS被引量：1
《Numerical Mathematics A Journal of Chinese Universities(English Series)》1994年第2期135-153,共19页魏木生 George Majda 
This author was supported by the National Natural Sciences Foundation,PRC. ;This author was supported by the Air Force Office of Scientific Research, USA, Grant No. AFOSR-91-0309
Consider solving an overdetermined system of linear algebraic equations by both the least squares method (LS) and the total least squares method (TLS). Extensive published computational evidence shows that when the or...
关键词：Least SQUARES TOTAL least SQUARES ACCURACY RANK deficient. 
AN ALGORITHM FOR SOLVING SYSTEM OF LINEAR INEQUALITIES
《Numerical Mathematics A Journal of Chinese Universities(English Series)》1994年第2期191-194,共4页王嘉松 吴忠麟 
The project supported by National Natural Science Foundation of China.
A new algorithm is presented for solving a system of linear inequalities. Starting at any point by solving a least squares problem we can either obtain a feasible point or determine that no solution exists.
关键词：LINEAR INEQUALITIES least SQUARES METHOD feasible direction 
EXTENDED OBLIQUE PROJECTION METHOD FOR GENERALIZED LEAST SQUARES PROBLEM
《Numerical Mathematics A Journal of Chinese Universities(English Series)》1994年第2期195-201,共7页黄开斌 颜世建 
Supported by the National Natural Science Foundation of China
We extend the oblique projection method given by Y.Saad to solve the generalized least squares problem. The corresponding oblique projection operator is presented and the convergence theorems are proved. Some necessar...
关键词：OBLIQUE projection method GENERALIZED least SQUARES problem mini-norm least SQUARES solution GENERALIZED inverses. 
A NONMONOTONE TRUST REGION METHOD FOR NONLINEAR LEAST SQUARES PROBLEMS
《Numerical Mathematics A Journal of Chinese Universities(English Series)》1994年第1期33-53,共21页邓乃扬 肖奕 周方俊 吴育华 
State Major Key Project for Basic Researches;Decision Making and Information System Laboratory; Academy of Science of China; Natural Science Foundation of Tsinghua University.
In this paper we present a nonmonotone trust region method for nonlinear least squares problems with zero-residual and prove its convergence properties. The extensive numerical results are reported which show that the...
关键词：TRUST REGION METHOD NONLINEAR least SQUARES NONMONOTONE method. 
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