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On the stabilization of iterative processes

Authors
Journal
Linear Algebra and its Applications
0024-3795
Publisher
Elsevier
Publication Date
Volume
43
Identifiers
DOI: 10.1016/0024-3795(82)90241-5

Abstract

Abstract Processes of the type A tz , A being a symmetric matrix, are considered. Such a process is called strongly stabilizable iff given an arbitrary sequence of interference times ( t i ), it admits a stabilization consisting of the addition of a constant vector y at ”times“ t i . It is shown (Theorem 3) that A t is strongly stabilizable iff no eigenvalue of A lies in the interval ( − 1 2 (1 + 5 ), − 1) .

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