Transformations into optimal parallelism in euclidean spaces (or: How to explain the shape of the electron-density distribution inside a crystal)

Linear Algebra and Its Applications

Volumn 337, Issue 1-3, 2001, Pages 139-156

  Behrends, Ehrhard ^a   Mädler, Fritz ^b  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

^b HAHN MEITNER INSTITUT   (Germany)

Author keywords

(Special) orthogonal group; 15A18; 46C05; 47B10; 82D25; Euclidean space; Nuclear operator; Singular value decomposition

Indexed keywords

EID: 0346452992     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(01)00340-8     Document Type: Article

References (9)

1. P. Deuflhard, A. Hohmann, Numerical Analysis, de Gruyter, Berlin, 1995.
2. Fulton W. Eigenvalues, invariant factors, highest weights, and Schubert calculus. Bull. Amer. Math. Soc. 37:2000;209-249.
3. G.H. Golub, Ch.V. vanLoan, Matrix Computations, second ed., The John Hopkins University Press, Baltimore, MD, 1989.
4. E. Hewitt, K. Ross, Abstract Harmonic Analysis II, Springer, Berlin, 1970.
5. F. Mädler, E. Behrends, K. Knorr, A geometric centroid principle and its applications. Acta Cryst. Sec. A 75 (2001) 20-33.
6. Knorr K., Mädler F. The application of evolution strategies to disordered structures. J. Appl. Cryst. 32:1999;902-910.
7. Fan Ky On a theorem of Weyl concerning eigenvalues of linear transformations. Proc. NArt. Acad. Sci. USA. 35:1949;652-655.
8. Pietsch A. Eigenvalues and s-Numbers Cambridge, Studies in Advanced Mathematics, vol. 13. 1987;Cambridge University Press, Cambridge.
9. 6 - An X-ray single-crystal and entropy-maximization study Z. Kristallogr. 214:1999;542-546.