Canonical forms of some special matrices useful in statistics

被引：0

作者：

M. Mitrouli ^{[1
]}

N. Karcanias ^{[2
]}

C. Koukouvinos ^{[3
]}

机构：

[1] University of Athens,Department of Mathematics

[2] City University,Department of Electrical Electronic and Information Engineering, Control Engineering Centre

[3] National Technical University of Athens,Department of Mathematics

来源：

Korean Journal of Computational & Applied Mathematics | 1997年 / 4卷 / 1期

关键词：

62K05; 62K10; 15A21; algorithm; D-optimal design; canonical form; matrix;

D O I：

10.1007/BF03011381

中图分类号：

学科分类号：

摘要：

In experimental situations wheren two or three level factors are involved andn observations are taken, then theD-optimal first order saturated design is ann ×n matrix with elements ±1 or 0, ±1 with the maximum determinant. Canonical forms are useful for the specification of the non-isomorphicD-optimal designs. In this paper, we study canonical forms such as the Smith normal form, the first, second and the Jordan canonical form ofD-optimal designs. Numerical algorithms for the computation of these forms are described and some numerical examples are also given.

引用

页码：63 / 82

页数：19

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[7]

Smith H. J. S.(undefined)undefined undefined undefined undefined-undefined

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