Accurate eigenvalue decomposition of real symmetric arrowhead matrices and applications
نویسندگان
چکیده
منابع مشابه
Reduction of the RPA eigenvalue problem and a generalized Cholesky decomposition for real-symmetric matrices
The particular symmetry of the random-phase-approximation (RPA) matrix has been utilized in the past to reduce the RPA eigenvalue problem into a symmetric-matrix problem of half the dimension. The condition of positive definiteness of at least one of the matrices A ± B has been imposed (where A and B are the submatrices of the RPA matrix) so that, e.g., its square root can be found by Cholesky ...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2015
ISSN: 0024-3795
DOI: 10.1016/j.laa.2013.10.007