Structure method for solving the nearest Euclidean distance matrix problem

被引:0
作者
Suliman Al-Homidan
机构
[1] King Fahd University of Petroleum and Minerals,Department of Mathematics and Statistics
来源
Journal of Inequalities and Applications | / 2014卷
关键词
Euclidean distance matrix; positive semidefinite matrix; Newton method; BFGS method;
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摘要
A matrix with zero diagonal is called a Euclidean distance matrix when the matrix values are measurements of distances between points in a Euclidean space. Because of data errors such a matrix may not be exactly Euclidean and it is desirable in many applications to find the best Euclidean matrix which approximates the non-Euclidean matrix. In this paper the problem is formulated as a smooth unconstrained minimization problem, for which rapid convergence can be obtained. Comparative numerical results are reported.
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