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On idempotency and tripotency of linear combinations of two commuting tripotent matrices

Özdemir, Halim; Sarduvan, Murat; Güler, Nesrin (ELSEVIER SCIENCE INC, 2009)

Let T-1 and T-2 be two nonzero commuting n x n tripotent matrices and c(1), c(2) two nonzero complex numbers. Necessary and sufficient conditions for the tripotency and the idempotency of c(1)T(1) + c(2)T(2) are obtained. ...
Notes on Comparison of Covariance Matrices of BLUPs Under Linear Random-Effects Model with Its Two Subsample Models

Nesrin Guler; Güler, Nesrin; Melek Eris Buyukkaya (SPRINGER INTERNATIONAL PUBLISHING AG, 2019)

A general linear random-effects model that includes both fixed and random effects, and its two subsample models are considered without making any restrictions on correlation of random effects and any full rank assumptions. ...