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The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices

โœ Scribed by Ernest R. Davidson

Book ID
107788488
Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
371 KB
Volume
17
Category
Article
ISSN
0021-9991

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๐Ÿ“œ SIMILAR VOLUMES

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Iterative methods for the calculation of a few of the lowest eigenvalues and corresponding eigenvectors of the AX = ฮปBX equation with real symmetric matrices of large dimension
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New methods for the iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of a generalized eigenvalue problem are proposed. These methods use only multiplication of the A and B matrices on a vector. 0 1994 by John Wiley & Sons, Inc.

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## Abstract An improved method for obtaining a few eigenvalues and eigenvectors of the symmetric matrix system is presented: where **S** โ‰  **I**. The method allows us to handle larger systems more easily than any other known to the author. It requires the inversion of **S**, and __N__^3^ step, but