@article{oai:fukuyama-u.repo.nii.ac.jp:00008146,
 author = {小林, 富士男 and 尾関, 孝史 and 筒本, 和広},
 journal = {福山大学工学部紀要},
 month = {Dec},
 note = {P(論文), Applying, simultaneous linear equations to physics and engineering, the measured values may involve some errors inevitably and sometimes the number of equations may be larger than that of unknowns The most probable values are generally found from the normal equations derived by the least squares method. While, absurd solutions which are not to be in the problems of physics or engineering are sometimes obtained from the normal equations. As a way to overcome those difficulties we developed an algorithm of constrained simultaneous equations for processing the data under the conditions that satisfy the pertinent physical meanings of solutions. The method is based upon an idea that the optimum solutions of unknowns to be solved are obtained by taking the minimum value of a penalty function. The penalty function is the sum of squared solutions which violated the restrictions. One correction term is added in each equation. When all values of correction terms are put zero, the solutions obtained from these equations are used as the initial values. The penalty function is calculated slightly changing the value of any one of corrections. Same calculations are carried out against each correction. Next, the values of penalty function which are smaller than that of former step are chosen. Among the chosen values, the minimum value which are the sum of squared corrections are taken as a value of new step. Thus the solutions obtained by iterative calculations approach to the optimum solutions. In this paper, the algorithm of constrained simultaneous equations is described in detail. Last, two examples are presented which are the applications of this method. The one is related to simultaneous linear equations which is ill condition. The other is concerned in particular problem which deals with simultaneous linear equations. composed of measured values for obtaining spectral transmittances Of an optical filter by means of retarding potential method. The later case, the simultaneous linear equations include some unavoidable errors.},
 pages = {183--190},
 title = {制約条件付き連立方程式の解法},
 volume = {27},
 year = {2003}
}