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NAME
     lapack - introduction to LAPACK

WHAT IS LAPACK?
  LAPACK is a transportable library of Fortran 77 subroutines for
  solving  the  most common problems in numerical linear algebra:
  systems of linear equations,  linear  least  squares  problems,
  eigenvalue  problems,  and singular value problems. It has been
  designed to be efficient  on  a  wide  range  of  modern  high-
  performance  computers.  libsunperf is the optimized version of
  LAPACK, BLAS, FFTPACK, and VFFTPACK that is optimized for SPARC
  and available from Sun.

  LAPACK is intended to be the successor to LINPACK and  EISPACK.
  It  extends  the  functionality  of these packages by including
  equilibration, iterative refinement, error bounds,  and  driver
  routines  for  linear  systems,  routines for computing and re-
  ordering the Schur factorization, and condition estimation rou-
  tines for eigenvalue problems.  LAPACK improves on the accuracy
  of the standard algorithms in EISPACK by including  high  accu-
  racy  algorithms for finding singular values and eigenvalues of
  bidiagonal and tridiagonal matrices respectively that arise  in
  SVD  and  symmetric  eigenvalue  problems.   The algorithms and
  software have been restructured to achieve high  efficiency  on
  vector  processors,  high-performance  ``superscalar'' worksta-
  tions, and shared-memory multiprocessors. A comprehensive test-
  ing  and  timing  suite  is  provided  along  with  the  LAPACK
  software.


HOW TO GET LAPACK
  libsunperf is  available  through  Sun  distribution  channels.
  Contact your Sun representative for details.

  The unoptimized LAPACK package is  available  via  xnetlib  and
  NAG, or specific routines can be obtained via netlib.  To see a
  description  of  the  contents  of  LAPACK,   send   email   to
  [email protected]  and  in the mail message type: send index from
  lapack.

  Xnetlib is an X-version of netlib  recently  developed  at  the
  University  of  Tennessee  and  Oak  Ridge National Laboratory.
  Unlike netlib, which uses electronic mail to  process  requests
  for software and other text, xnetlib uses an X Window graphical
  user interface and a socket-based connection between the user's
  machine  and  the  xnetlib  server  machine to process software
  requests. The complete  contents  of  LAPACK  is  available  in
  tar/compress format from xnetlib.

  To  receive  a  copy  of  xnetlib  send   the   message   "send
  xnetlib.shar from xnetlib" to [email protected].

  When you receive the shar file, remove the mail header, save it
  to  a  file,  type 'sh filename' and follow the instructions in
  the README file.

  LAPACK has been thoroughly tested, on many different  types  of
  computers.   The  LAPACK  project  supports  the package in the
  sense that reports of errors  or  poor  performance  will  gain
  immediate  attention  from  the  developers.   Sun supports the
  LAPACK in libsunperf and any problems with libsunperf should be
  reported  directly  to  Sun.   Such  reports,  descriptions  of
  interesting applications, and other comments should be sent  by
  electronic mail to [email protected].


LAPACK USERS' GUIDE
  The LAPACK Users' Guide is  published  by  SIAM  and  was  made
  available  May,  1992.   LAPACK  Users' Guide gives an informal
  introduction to the design of the algorithms and software, sum-
  marizes  the contents of the package, and describes the conven-
  tions used in the software and documentation, and includes com-
  plete  specifications  for  calling  the  routines.  The LAPACK
  Users' Guide can be purchased from:  SIAM; 3600 University City
  Science  Center; Philadelphia, PA 19104-2688; 215-382-9800, FAX
  215-386-7999.  It will also be available from booksellers.  The
  Guide  costs  $15.60  for  SIAM  members,  and  $19.50 for non-
  members.  Please specify order code  OT31  when  ordering.   To
  order by email, send email to [email protected].

  A list of known problems, bugs, and compiler errors for LAPACK,
  as  well  as  errata for the LAPACK Users' Guide and the LAPACK
  code itself, is maintained on  netlib.   For  a  copy  of  this
  report,  send  email  to  [email protected] with a message of the
  form: send release_notes from lapack.


LAPACK WORKING NOTES
  A number of working notes were written during  the  development
  of  LAPACK  and published as LAPACK Working Notes, initially by
  Argonne National Laboratory and  later  by  the  University  of
  Tennessee.  Many of these reports have subsequently appeared as
  journal articles.  Most of these working notes are available in
  postscript  form  from  netlib.  To receive a list of available
  reports, send email to [email protected] with a  message  of  the
  form:  send  index  from lapack/lawns.  Otherwise, requests for
  copies of these working notes can  be  sent  to  the  following
  address.

  LAPACK Project c/o J.J. Dongarra  Computer  Science  Department
  University  of  Tennessee  Knoxville,  Tennessee 37996-1301 USA
  Email: [email protected]


ACKNOWLEDGEMENTS
  LAPACK has been funded in part by NSF,  DOE,  and  DARPA,  with
  developmental  support  from  NAG Ltd., Cray Research, and many
  friends and colleagues around the world.


  Ed Anderson, Zhao-jun Bai,  Chris  Bischof,  Jim  Demmel,  Jack
  Dongarra, Jeremy Du Croz, Anne Greenbaum, Sven Hammarling, Alan
  McKenney, Susan Ostrouchov, and Danny Sorensen

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NAMING SCHEME
  The name of each LAPACK routine is a coded specification of its
  function  (within  the very tight limits of standard Fortran 77
  6-character names).

  All driver and computational routines have names  of  the  form
  XYYZZZ,  where  for  some  driver routines the 6th character is
  blank.

  The first letter, X, indicates the data type as follows:

        S  REAL
        D  DOUBLE PRECISION
        C  COMPLEX
        Z  COMPLEX*16  or DOUBLE COMPLEX

  The next two letters, YY, indicate the type of  matrix  (or  of
  the  most  significant matrix).  Most of these two-letter codes
  apply to both real and complex matrices; a few  apply  specifi-
  cally to one or the other.

  The last three letters ZZZ indicate the computation  performed.
  For example, SGEBRD is a single precision routine that performs
  a bidiagonal reduction (BRD) of a real general matrix.

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