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Computation of the fundamental singular subspace of a large matrix

โœ Scribed by B. Philippe; M. Sadkane

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
921 KB
Volume
257
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

We compare the block Lanezos and the Davidson methods for computing a basis of a singular subspace associated with the smallest singular values of large matrices. We introduce a simple modification on the preconditioning step of Davidson's method which appears to be efficient on a range of large sparse matrices.

๐Ÿ“œ SIMILAR VOLUMES

On the computation of the transfer funct
On the computation of the transfer function matrix of singular systems
โœ P.N. Paraskevopoulos; M.A. Christodoulou ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 453 KB

For singular systems, i.e. for systems of the form Ek = Ax + Bu, with E singular, the problem of computing the transfer function matrix has been studied. An algorithm is developed which is similar to the corresponding algorithm proposed by Faddeev or Leverrierfor regular Systems. The present results