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The Lanczos optimization of a splitting-up method to solve homogeneous evolutionary equations

✍ Scribed by Vladimir Druskin; Leonid Knizhnerman

Book ID
107988973
Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
875 KB
Volume
42
Category
Article
ISSN
0377-0427

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To search a given real interval for roots, our algorithm is to replace \(f(\lambda)\) by \(f_{N}(\lambda)\), its \(N\)-term Chebyshev expansion on the search interval \(\lambda \in\left[\lambda_{\min }, \lambda_{\max }\right]\), and compute the roots of this proxy. This strategy is efficient if and