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Solving an ill‐conditioned nonlinear system of equations
Author(s) -
Wong Jsun Yui
Publication year - 1998
Publication title -
computer applications in engineering education
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.478
H-Index - 29
eISSN - 1099-0542
pISSN - 1061-3773
DOI - 10.1002/(sici)1099-0542(1998)6:1<53::aid-cae7>3.0.co;2-#
Subject(s) - nonlinear system , function (biology) , mathematics , penalty method , residual sum of squares , value (mathematics) , least squares function approximation , computer science , explained sum of squares , mathematical optimization , calculus (dental) , non linear least squares , statistics , physics , quantum mechanics , medicine , dentistry , evolutionary biology , estimator , biology
This article lists a computer program in BASIC for solving an ill‐conditioned nonlinear system of equations in the literature. Computational results are also presented here. Unlike the author's earlier publications, in which the penalty function is the sum of the absolute values of the residuals, and in an attempt to make the worst residuals more dominant over the better residuals, the present article uses the penalty function of the sum of the squares of the residuals. With this change, improving the value of the newer penalty function is now more like just improving the values of the worse residuals; the result is that all residuals of a solution tend to be more uniform in size. © 1998 John Wiley & Sons, Inc. Comput Appl Eng Educ 6: 53–58, 1998