On best approximate solutions of linear matrix equations
R. Penrose
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Source: Crossref
Published: Jan 1, 1956
DOI: 10.1017/s0305004100030929
Open original source ↗Source abstract
In an earlier paper (4) it was shown how to define for any matrix a unique generalization of the inverse of a non-singular matrix. The purpose of the present note is to give a further application which has relevance to the statistical problem of finding ‘best’ approximate solutions of inconsistent systems of equations by the method of least squares. Some suggestions for computing this generalized inverse are also given.
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