A new lower bound for the smallest singular value
Keyword(s):
The aim of this paper is to obtain new lower bounds for the smallest singular value for some special subclasses of nonsingularH-matrices. This is done in two steps: first, unifying principle for deriving new upper bounds for the norm 1 of the inverse of an arbitrary nonsingular H-matrix is presented, and then, it is combined with some well-known upper bounds for the infinity norm of the inverse. The importance and efficiency of the results are illustrated by an example from ecological modelling, as well as on a type of large-scale matrices posessing a block structure, arising in boundary value problems.
Keyword(s):
2001 ◽
Vol 41
(3-4)
◽
pp. 483-487
◽
1993 ◽
Vol 03
(04)
◽
pp. 313-320
◽
Keyword(s):
1975 ◽
Vol 11
(1)
◽
pp. 3-5
◽
Keyword(s):
Keyword(s):
1992 ◽
Vol 172
◽
pp. 27-32
◽