Remarks on large-scale matrix diagonalization using a Lagrange-Newton-Raphson minimization in a subspace

被引:13
作者
Anglada, JM
Besalú, E
Bofill, JM
机构
[1] Univ Barcelona, Dept Quim Organ, E-08028 Barcelona, Catalunya, Spain
[2] CSIC, Cid, E-08034 Barcelona, Catalunya, Spain
[3] Univ Girona, Dept Quim, E-17071 Girona, Catalunya, Spain
[4] Univ Girona, Inst Quim Computac, E-17071 Girona, Catalunya, Spain
[5] Univ Barcelona, Ctr Especial Recerca Quim Teor, E-08028 Barcelona, Catalunya, Spain
关键词
large-scale matrix diagonalization; Lagrange-Newton-Raphson minimization; Ritz-Galerkin method;
D O I
10.1007/s002140050527
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
We present a matrix diagonalization method where the diagonalization is carried out through a normal Lagrange-Newton-Raphson method solved in a subspace. The subspace is generated using the correction vector that predicts the standard Lagrange-Newton-Raphson formula in the full space. Some numerical examples and the performance of the algorithm are given.
引用
收藏
页码:163 / 166
页数:4
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