The design of a block rational Lanczos code with partial reorthogonalization and implicit restarting

ePubs

The open archive for STFC research publications

Persistent URL	http://purl.org/net/epubs/work/29577
Record Status	Checked
Record Id	29577
Title	The design of a block rational Lanczos code with partial reorthogonalization and implicit restarting
Contributors	K Meerbergen, JA Scott (CCLRC Rutherford Appleton Lab.)
Abstract	We discuss the design and development of a new Fortran code EA16 for the computation of selected eigenvalues and eigenvectors of large-scale real symmetric eigenvalue problems. EA16 can be used for either the standard or the generalized eigenvalue problem. The underlying method used by EA16 is the block Lanczos method with partial reorthogonalization plus implicit restarting, combined with purging and locking of converged Ritz pairs. A spectral transformation may optionally be used. The code allows a change of pole via the rational Lanczos method. Particular attention is paid to the solution of generalized eigenvalue problems with a singular mass matrix.
Organisation	CCLRC
Keywords
Funding Information
Related Research Object(s):
Licence Information:
Language	English (EN)

Type	Details	URI(s)	Local file(s)	Year
Report	RAL Technical Reports RAL-TR-2000-011. 2000.		raltr-2000011.pdf	2000