HALİM ÖZDEMİR, Aydın İNCİ, MURAT SARDUVAN

On idempotency of linear combinations of two commute idempotent matrices

ISSN: 1301-4048
Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 1997
Yayıncı: Sakarya Üniversitesi Fen Bilimleri Enstitüsü

$P_1$, ve $P_2$ komutatif idempotent matrislerinin lineer kombinasyonunun da bir idempotent matris olduğu tüm durumları karakterize etme probleminin tanı bir çözümü ortaya konulmaktadır. Ayrıca, bu çalışmada ele alınan idempotentlik probleminin bir istatistiksel yorumu da verilmektedir.

A complete solution is established to the problem of characterizing all situations, where a linear combination of two commute idempotent matrices $P_1$, and $P_2$ is also an idempotent matrix. A statistical interpretation of the idempotency problem considered in this note is aiso pointed out.

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