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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 499, Pages 67–76 (Mi znsl7045)  

I

Factorization of the projection matrix onto a subspace

V. N. Malozemova, G. Sh. Tamasyanba

a Saint Petersburg State University
b Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg
References:
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.
Funding agency Grant number
Russian Science Foundation 20-71-10032
Received: 04.10.2020
Document Type: Article
UDC: 512.64
Language: Russian
Citation: V. N. Malozemov, G. Sh. Tamasyan, “Factorization of the projection matrix onto a subspace”, Investigations on applied mathematics and informatics. Part I, Zap. Nauchn. Sem. POMI, 499, POMI, St. Petersburg, 2021, 67–76
Citation in format AMSBIB
\Bibitem{MalTam21}
\by V.~N.~Malozemov, G.~Sh.~Tamasyan
\paper Factorization of the projection matrix onto a subspace
\inbook Investigations on applied mathematics and informatics. Part~I
\serial Zap. Nauchn. Sem. POMI
\yr 2021
\vol 499
\pages 67--76
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7045}
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  • https://www.mathnet.ru/eng/znsl/v499/p67
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