The Recursion Method and Its Applications. Proceedings of the Conference, Imperial College, London, England September 13-14, 1984.

. Ed(s): Pettifor, D. G.; Weaire, D. L.

ISBN 10: 3642824463 / ISBN 13: 9783642824463

Published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 2011

About this Item

Editor(s): Pettifor, D. G.; Weaire, D. L. Series: Springer Series in Solid-State Sciences. Num Pages: 192 pages, biography. BIC Classification: PHF; PHU. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 10. Weight in Grams: 299. . 2011. Softcover reprint of the original 1st ed. 1987. Paperback. . . . .

Seller Inventory # V9783642824463

Bibliographic Details

• Title: The Recursion Method and Its Applications. Proceedings of the Conference, Imperial College, London, England September 13-14, 1984.
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Publication Date: 2011
• Language: English
• ISBN 10: 3642824463
• ISBN 13: 9783642824463
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.