Lanczos Algorithms for Large Symmetric Eigenvalue Computations

Released on by Jane K. Cullum
preview-18

  • Lanczos Algorithms for Large Symmetric Eigenvalue Computations Book Detail

  • Author : Jane K. Cullum
  • Release Date : 2002-09-01
  • Publisher : SIAM
  • Genre : Mathematics
  • Pages : 290
  • ISBN 13 : 0898715237
  • File Size : 6,6 MB
DOWNLOAD BOOK

Lanczos Algorithms for Large Symmetric Eigenvalue Computations by Jane K. Cullum PDF Summary

Book Description: First published in 1985, this book presents background material, descriptions, and supporting theory relating to practical numerical algorithms for the solution of huge eigenvalue problems. This book deals with 'symmetric' problems. However, in this book, 'symmetric' also encompasses numerical procedures for computing singular values and vectors of real rectangular matrices and numerical procedures for computing eigenelements of nondefective complex symmetric matrices. Although preserving orthogonality has been the golden rule in linear algebra, most of the algorithms in this book conform to that rule only locally, resulting in markedly reduced memory requirements. Additionally, most of the algorithms discussed separate the eigenvalue (singular value) computations from the corresponding eigenvector (singular vector) computations. This separation prevents losses in accuracy that can occur in methods which, in order to be able to compute further into the spectrum, use successive implicit deflation by computed eigenvector or singular vector approximations.

Disclaimer: www.yourbookbest.com does not own Lanczos Algorithms for Large Symmetric Eigenvalue Computations books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.