Two classes of element-wise transformations preserving the psd nature of coefficient matrices

Frits E. Zegers*

*Corresponding author for this work

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    Two classes of element-wise transformations are proved to preserve the positive semi-definite nature of coefficient matrices. The correctness of a conjecture by Gower and Legendre on the positive semidefinite nature of a certain coefficient matrix is proved. It is shown that the matrix of monotonicity coefficients proposed by Bentler is positive semidefinite for data without ties
    Original languageEnglish
    Pages (from-to)49-53
    Number of pages5
    JournalJournal of Classification
    Issue number1
    Publication statusPublished - 1986

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