Geodesic
Factorization of the projection matrix onto a subspace
Zapiski Nauchnykh Seminarov POMI, Investigations on applied mathematics and informatics. Part I, Tome 499 (2021), pp. 67-76 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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V. N. Malozemov; G. Sh. Tamasyan. Factorization of the projection matrix onto a subspace. Zapiski Nauchnykh Seminarov POMI, Investigations on applied mathematics and informatics. Part I, Tome 499 (2021), pp. 67-76. http://geodesic.mathdoc.fr/item/ZNSL_2021_499_a5/

[1] V. N. Malozemov, Lineinaya algebra bez opredelitelei. Kvadratichnaya funktsiya, Izd-vo SPbGU, SPb., 1997

[2] R. Khorn, Ch. Dzhonson, Matrichnyi analiz, Mir, M., 1989

[3] G. H. Golub, C. F. Van Loan, Matrix Computations, 4th ed., The Johns Hopkins University Press, Baltimore, 2013 | Zbl

[4] Lineal. Bazovaya elektronnaya entsiklopediya po lineinoi algebre, http://lineal.guru.ru/