Inverses of infinite sign regular matrices
Authors:
C. de Boor, S. Friedland and A. Pinkus
Journal:
Trans. Amer. Math. Soc. 274 (1982), 59-68
MSC:
Primary 47B37; Secondary 15A09
DOI:
https://doi.org/10.1090/S0002-9947-1982-0670918-7
MathSciNet review:
670918
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Abstract | References | Similar Articles | Additional Information
Abstract: Let be an infinite sign regular (sr) matrix which can be viewed as a bounded linear operator from
to itself. It is proved here that if the range of
contains the sequence
, then
is onto. If
exists, then
is also sr, where
is the diagonal matrix with diagonal entries alternately
and
. In case
is totally positive (tp), then
is also tp under additional assumptions on
.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1982-0670918-7
Keywords:
Bi-infinite,
infinite,
matrix,
total positivity,
sign regularity,
inverse
Article copyright:
© Copyright 1982
American Mathematical Society