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The spectrum of a modified linear pencil

โœ Scribed by S. Elhay; G.H. Golub; Y.M. Ram


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
838 KB
Volume
46
Category
Article
ISSN
0898-1221

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โœฆ Synopsis


Suppose the spectrum of a symmetric definite Keywords-Generalized eigenvalue problem, Secular equation, Interlacing eigenvalues, Modified vibrating system, Divide and conquer, Matrix tearing.


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Let T and S be two bounded linear operators from Banach spaces X into Y, ลฝ . and suppose that T is Fredholm and dim N T y S is constant in a neighborhood ลฝ . ลฝ . of s 0. Let d T; S be the supremum of all r ) 0 such that dim N T y S and ลฝ . < < codim R T y S are constant for all withr. It is a conseq