On the construction of band matrices from spectral data
β Scribed by Michael P. Mattis; Harry Hochstadt
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 578 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
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A numerical method for approximating coefficients in an Euler-Bernoulli beam equation from spectral data is proposed. The technique is based on a shooting method and constructs a beam that has the given spectral data. Numerical examples illustrate the performance of the method.
Simple, new, direct methods are derived for constructing real, symmetric, bordered-diagonal and tridiagonaf matrices from their eigenvalues and the eigenvalues of any one of their principal submatrices. A direct method is also presented for constructing, from its eigenvalues, a real tridiagonaf mat