ISSN:
1531-5878
Source:
Springer Online Journal Archives 1860-2000
Topics:
Electrical Engineering, Measurement and Control Technology
Notes:
Abstract Let Aij i, j=1, 2,..., be operators on a Hilbert spaceX, such that the compound operatorA ∞=A ij i, j=1 ∞ induces a bounded positive operator onl 2(X). We show that S(A ∞, theshorted operator (orgeneralized Schur complement), of A∞ can be obtained as the limits of shorts of the operators An, where An is the truncated version ofA ∞, thenA n=A ij i, j=1 n . We use these results to study the short-circuit approximations to infinite networks.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01236449
Permalink