On generalized inverses of polynomial and other matrices. Sontag, E. IEEE Trans. Automat. Control, 25(3):514–517, 1980. abstract bibtex Necessary and sufficient conditions are given for a matrix over a ring to admit a Moore-Penrose generalized inverse in a weak sense. (Attached is also a Math Review with additional comments on strong inverses.)
@ARTICLE{MR571759,
AUTHOR = {E.D. Sontag},
JOURNAL = {IEEE Trans. Automat. Control},
TITLE = {On generalized inverses of polynomial and other matrices},
YEAR = {1980},
OPTMONTH = {},
OPTNOTE = {},
NUMBER = {3},
PAGES = {514--517},
VOLUME = {25},
PDF = {../../FTPDIR/wgi.pdf},
ABSTRACT = { Necessary and sufficient conditions are given for a
matrix over a ring to admit a Moore-Penrose generalized inverse in a
weak sense. (Attached is also a Math Review with additional comments
on strong inverses.) }
}
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