Article ID Journal Published Year Pages File Type
425755 Future Generation Computer Systems 2006 9 Pages PDF
Abstract

Given a Hamiltonian matrix H=JSH=JS with S   symmetric and positive definite, we analyze a symplectic Lanczos algorithm to transform −H2−H2 in a symmetric and positive definite tridiagonal matrix of half size. By means of two effective restarted procedures, this algorithm is then used to compute few extreme eigenvalues of H. Numerical examples are also reported to compare the presented techniques.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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