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Structured backward error analysis for sparse polynomial eigenvalue problems

✍ Scribed by Kaijun Zhang; Yangfeng Su


Book ID
119186965
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
203 KB
Volume
219
Category
Article
ISSN
0096-3003

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Backward error and condition of polynomi
✍ FranΓ§oise Tisseur πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 217 KB

We develop normwise backward errors and condition numbers for the polynomial eigenvalue problem. The standard way of dealing with this problem is to reformulate it as a generalized eigenvalue problem (GEP). For the special case of the quadratic eigenvalue problem (QEP), we show that solving the QEP