Carte Recursion Method and Its Applications D. G. Pettifor

Recursion Method and Its Applications

Proceedings of the Conference, Imperial College, London, England September 13-14, 1984

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This volume reviews recent advances in the development and application of the recursion method in co...

Informații despre carte

Limbă
engleză
Legare
Carte - Carte broșată
Publicat
2011
Pagini
184
EAN
9783642824463
ISBN
3642824463
Enbook ID
07123791
Greutate
300
Dimensiuni
155 x 235 x 11

Descriere completă

This volume reviews recent advances in the development and application of the recursion method in computational solid state physics and elsewhere. It comprises the invited papers which were presented at a two-day conference at Imperial College, London during September 1984. The recursion method is based on the Lanczos algorithm for the tridiago nalisation of matrices, but it is much more than a straightforward numerical technique. It is widely regarded as the most elegant framework for a variety of calculations into which one may incorporate physical insights and a num ber of technical devices. The standard reference is Volume 35 of Solid State Physics, which contains all the early ideas of Heine, Haydock and others, upon which the method was established. The present volume provides the first review of subsequent developments. It also indicates where problems remain, or opinions differ, in the interpretation of the mathematical details or choice of practical techniques in applications. The field is still very li vely and much remains to be done, as the summary chapter clearly demonstra tes. We are grateful to the S. E. R. C. 's Collaborative Computational Project No. 9 on the electronic structure of solids and the Institute of Physics's Solid State Sub-committee for their sponsorship of the conference. We thank Angus MacKinnon for his help in conference organisation and Jacyntha Crawley for secretarial assistance. December 1984 David G. Pettifor Denis L. Weaire v Contents Part I Introduction Why Recur? By V.

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