Abstract:
Under consideration is the problem of finding factor values. Some theorems are proved, yielding the pseudoinversematrix for a factor pattern obtained by the principal-component and factor analysis methods. The corresponding computational algorithms are developed for finding factor values.
Keywords:
pseudoinverse matrix, factor structure, problem of finding factor values.
Citation:
V. V. Gol'tyapin, “Use of the pseudoinverse matrix of a factor pattern in the measurement of factors”, Sib. Zh. Ind. Mat., 14:3 (2011), 20–30; J. Appl. Industr. Math., 6:2 (2012), 184–193
\Bibitem{Gol11}
\by V.~V.~Gol'tyapin
\paper Use of the pseudoinverse matrix of a~factor pattern in the measurement of factors
\jour Sib. Zh. Ind. Mat.
\yr 2011
\vol 14
\issue 3
\pages 20--30
\mathnet{http://mi.mathnet.ru/sjim679}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2953772}
\transl
\jour J. Appl. Industr. Math.
\yr 2012
\vol 6
\issue 2
\pages 184--193
\crossref{https://doi.org/10.1134/S1990478912020068}
Linking options:
https://www.mathnet.ru/eng/sjim679
https://www.mathnet.ru/eng/sjim/v14/i3/p20
This publication is cited in the following 2 articles:
Vladimir I. Guzhov, Sergey P. Ilinykh, 2021 XV International Scientific-Technical Conference on Actual Problems Of Electronic Instrument Engineering (APEIE), 2021, 405
V. V. Goltyapin, “Odnoznachnost kosougolnoi faktornoi struktury. Modernizirovannyi oblimaks-metod”, Sib. zhurn. industr. matem., 15:2 (2012), 64–74