V. N. Malozemov, G. Sh. Tamasyan, “Factorization of the projection matrix onto a subspace”, Zap. Nauchn. Sem. POMI, 2021, Volume 499,Pages <nobr>67

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Factorization of the projection matrix onto a subspace

V. N. Malozemov^a, G. Sh. Tamasyan^ba

^a Saint Petersburg State University
^b Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg

Abstract: A deep factorization of theorthogonal projection matrix onto a subspace is obtained. $LQ$ decomposition isused. For construction of the orthogonal matrix $Q$ the method of successive rankreduction is applied.

Key words and phrases: orthogonal design matrix factorization.

UDC: 512.64

Received: 04.10.2020