ON THE USE OF EIGENVALUES AND EIGENVECTORS IN THE PHASE PROBLEM

Authors
VANDERPLAS JL DEGRAAFF RAG SCHENK H
Citation
Jl. Vanderplas et al., ON THE USE OF EIGENVALUES AND EIGENVECTORS IN THE PHASE PROBLEM, Acta crystallographica. Section A, Foundations of crystallography, 54, 1998, pp. 262-266
Citations number
9
Categorie Soggetti
Crystallography
Journal title
Acta crystallographica. Section A, Foundations of crystallography → ACNP
ISSN journal
01087673
Volume
54
Year of publication
1998
Part
3
Pages
262 - 266
Database
ISI
SICI code
0108-7673(1998)54:<262:OTUOEA>2.0.ZU;2-5
Abstract
Karle-Hauptman matrices may be used in an algebraic approach to the ph ase problem. When eigenvalues and eigenvectors are used, it is possibl e to obtain structural information from Karle-Hauptman matrices of ord ers greater than N, despite the fact that the determinants are zero. I n this paper, the properties of large Karle-Hauptman matrices are exam ined in the infinite and non-infinite cases. The characteristics of el ectron densities corresponding to separate eigenvectors are examined.