Lanz
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Description: Solves the large, sparse, symmetric generalized eigenproblem.
to see the number of accesses to this library. # ======== index for lanz ======= # LANZ: Software for Solving the Large Sparse Symmetric Generalized Eigenproblem # Mark T. Jones, Argonne National Laboratory, Argonne, Illinois 60439-4844 # Merrell L. Patrick, Duke University, Durham, North Carolina 27706 # # LANZ solves the symmetric generalized eigenproblem, # \begin{equation} # Kx=\lambda Mx, # \end{equation} # where $K$ is symmetric positive definite and $M$ is # positive semi-definite. It is also capable of solving # \begin{equation} # Kx=-\lambda Mx, # \end{equation} # where $M$ can be indefinite. # It can find either 1) all # the eigenpairs in a user-specified range, or 2) the $p$ eigenpairs # closest to some user-specified value, $\sigma$. # # The LANZ package was developed to run efficiently on a range of # architectures, including vector and parallel computers. # # LANZ is an implementation of the algorithm described in # \cite{jones:lanczos}. The heart of LANZ is # the Lanczos algorithm used with spectral transformations # similar to those described in \cite{nour-omid:implement}. LANZ uses # the partial reorthogonalization algorithm, originally proposed # in \cite{simon:partial}, and expanded upon in \cite{parlett:semi_ortho}, # to maintain semi-orthogonality among the Lanczos vectors. # In addition, LANZ uses a dynamic shifting algorithm to accelerate # convergence to desired eigenpairs in a slightly different fashion # than in \cite{boeing:small_lan_report}. # # \bibitem{jones:lanczos} # {\sc Jones, M.~T., and Patrick, M.~L.} # \newblock {The Use of Lanczos's Method to Solve the Large Generalized # Symmetric Definite Eigenvalue Problem}. # \newblock Technical Report 89-67, Institute for Computer Applications in # Science and Engineering (ICASE), NASA Langley Research Center, Hampton, VA, # 1989. # \bibitem{nour-omid:implement} # {\sc Nour-Omid, B., Parlett, B.~N., Ericsson, T., and Jensen, P.~S.} # \newblock {How to Implement the Spectral Transformation}. # \newblock {\em Mathematics of Computatio
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| Page title: | lanz |
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| IP-address: | 160.36.131.221 |
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| NS | Name Server:NS0.UTK.EDU Name Server:NS1.UTK.EDU Name Server:NS2.UTK.EDU Name Server: Name Server: Name Server: Name Server: Name Server: Name Server: Name Server: Name Server: DNSSEC:Unsigned |
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| Date | Creation Date: 1994-03-04T05:00:00Z Expiry Date: 2014-03-05T05:00:00Z |