Decay rates for inverses of band matrices

Decay rates for inverses of band matrices

A and in terms of the (essential) spectrum of for positive definite . In the positive definite case the bound can be attained. These results are used to establish the exponential decay for a class of generalized eigenvalue problems and to establish exponential decay for certain sparse but nonbanded...

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Veröffentlicht in:Mathematics of computation 1984, Vol.43 (168), p.491-499
Hauptverfasser: Demko, Stephen, Moss, William F., Smith, Philip W.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Approximation
Eigenvalues
Exact sciences and technology
Mathematical functions
Mathematics
Matrices
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Polynomials
Rate setting
Sciences and techniques of general use
Spectral theory
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Beschreibung
Zusammenfassung:A and in terms of the (essential) spectrum of for positive definite . In the positive definite case the bound can be attained. These results are used to establish the exponential decay for a class of generalized eigenvalue problems and to establish exponential decay for certain sparse but nonbanded matrices. We also establish decay rates for certain generalized inverses.]]>
ISSN:0025-5718
1088-6842
DOI:10.1090/S0025-5718-1984-0758197-9