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Iterative methods for the calculation of a few of the lowest eigenvalues and corresponding eigenvectors of the AX = λ BX equation with real symmetric matrices of large dimension
Author(s) -
Mitin Alexander V.
Publication year - 1994
Publication title -
journal of computational chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.907
H-Index - 188
eISSN - 1096-987X
pISSN - 0192-8651
DOI - 10.1002/jcc.540150707
Subject(s) - eigenvalues and eigenvectors , dimension (graph theory) , mathematics , mathematical analysis , pure mathematics , combinatorics , physics , quantum mechanics
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. © 1994 by John Wiley & Sons, Inc.