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Computation of the eigenvalues of convexity preserving matrices

✍ Scribed by J. Delgado; J.M. Peña

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
355 KB
Volume
22
Category
Article
ISSN
0893-9659

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✦ Synopsis

A direct method using O(kn 2 ) elementary operations to compute the k largest eigenvalues of an r-convexity preserving n × n matrix, for all r = 0, 1, . . . , k, is presented.

📜 SIMILAR VOLUMES

Computing complex eigenvalues of large n
Computing complex eigenvalues of large non-Hermitian matrices
✍ W. Kerner; K. Lerbinger; J. Steuerwald 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 887 KB

The generalized eigenvalue problem Ax = hBx with a non-symmetric matrix A is solved by means of inverse vector iteration. The algorithm makes use of the band structure of the matrices, thus allowing quite large dimensions (d 5 3742). In the application all complex eigenvalues for the resistive Alfve