1 .TH LAPACK l "2 April 1993" "LAPACK Version 1.1" "LAPACK FORTRAN LIBRARY ROUTINES"
5 \fBLAPACK\fR 是一个 \fIFortran 77\fR 子程序的 transportable library ,
7 systems of linear equations, linear least squares problems, eigenvalue problems,
8 还有 singular value problems.
9 它在大部分现代的高性能计算机中可以高效地运作。
11 \fBLAPACK\fR 是 \fILINPACK\fR 和 \fIEISPACK\fR 的后继者。
13 equilibration, iterative refinement, error bounds, 和 driver routines,
14 routines for computing and re-ordering the Schur factorization,
15 还有 condition estimation routines for eigenvalue problems.
17 finding singular values and eigenvalues of bidiagonal and tridiagonal matrices
18 respectively that arise in SVD and symmetric eigenvalue problems
19 的高精度算法提高了 \fIEISPACK\fR 中标准算法的精度。
20 这些算法和软件被重新编写,在向量处理器上,高性能 ``superscalar'' 工作站上和
22 \fBLAPACK\fR 软件还附带了一个复杂的测试和时间测算套件。
26 完整的 \fBLAPACK\fR 软件包可以从 xnetlib 和 NAG 得到,也可以从 netlib 获得特定的库。
27 要查看 \fBLAPACK\fR 内容的描述,向 netlib@ornl.gov 发一封消息类型为:
28 \fIsend index from lapack\fR 的电子邮件。
30 Xnetlib is an X-version of netlib recently developed at the University
31 of Tennessee and Oak Ridge National Laboratory. Unlike netlib, which
32 uses electronic mail to process requests for software and other text,
33 xnetlib uses an X Window graphical user interface and a socket-based
34 connection between the user's machine and the xnetlib server machine to
35 process software requests. The complete contents of LAPACK is available
36 in tar/compress format from xnetlib.
38 To receive a copy of xnetlib send the message "send xnetlib.shar from
39 xnetlib" to netlib@ornl.gov.
41 When you receive the shar file, remove the mail header, save it to a
42 file, type 'sh filename' and follow the instructions in the README
45 Alternatively, the complete LAPACK package can be
46 obtained from NAG on magnetic media for a handling charge.
47 For further details contact NAG at one of the following addresses:
50 NAG Inc NAG Ltd NAG GmbH
51 1400 Opus Place Wilkinson House Schleissheimerstrasse 5
52 Suite 200 Jordan Hill Road W-8046 Garching bei Munchen
53 Downers Grove, IL 60515-5702 Oxford OX2 8DR Germany
55 Tel: +1 708 971 2337 Tel: +44 865 511245 Tel: +49 89 3207395
56 Fax: +1 708 971 2706 Fax: +44 865 310139 Fax: +49 89 3207396
59 LAPACK has been thoroughly tested, on many different
60 types of computers. The LAPACK project supports the package in the
61 sense that reports of errors or poor performance will gain immediate
62 attention from the developers. Such reports, descriptions
63 of interesting applications, and other comments should be sent by
64 electronic mail to lapack@cs.utk.edu.
66 .SH LAPACK USERS' GUIDE
68 The LAPACK Users' Guide is published by SIAM and was made available
69 May, 1992. LAPACK Users' Guide gives an informal introduction to
70 the design of the algorithms and software, summarizes the contents
71 of the package, and describes the conventions used in the software
72 and documentation, and includes complete specifications for calling
73 the routines. The LAPACK Users' Guide can be purchased from:
74 SIAM; 3600 University City Science Center; Philadelphia, PA 19104-2688;
75 215-382-9800, FAX 215-386-7999. It will also be available from
76 booksellers. The Guide costs $15.60 for SIAM members, and $19.50
77 for non-members. Please specify order code OT31 when ordering.
78 To order by email, send email to service@siam.org.
80 A list of known problems, bugs, and compiler errors for LAPACK, as
81 well as errata for the LAPACK Users' Guide and the LAPACK code itself, is
82 maintained on netlib. For a copy of this report, send email to
83 netlib@ornl.gov with a message of the form: send release_notes from
86 .SH LAPACK WORKING NOTES
88 A number of working notes were written during the
89 development of LAPACK and published as LAPACK Working Notes,
90 initially by Argonne National Laboratory and later by the University
91 of Tennessee. Many of these reports have subsequently appeared as
92 journal articles. Most of these working notes are available in postscript
93 form from netlib. To receive a list of available reports, send email to
94 netlib@ornl.gov with a message of the form: send index from lapack/lawns.
95 Otherwise, requests for copies of these working notes can be sent to
96 the following address.
100 Computer Science Department
101 University of Tennessee
102 Knoxville, Tennessee 37996-1301
104 Email: lapack@cs.utk.edu
108 LAPACK has been funded in part by NSF, DOE, and DARPA, with
109 developmental support from NAG Ltd., Cray Research, and many friends
110 and colleagues around the world.
113 Ed Anderson, Zhao-jun Bai, Chris Bischof, Jim Demmel, Jack Dongarra,
114 Jeremy Du Croz, Anne Greenbaum, Sven Hammarling, Alan McKenney,
115 Susan Ostrouchov, and Danny Sorensen
127 The name of each LAPACK routine is a coded specification of
128 its function (within the very tight limits of standard Fortran 77
131 All driver and computational routines have names of the form XYYZZZ,
132 where for some driver routines the 6th character is blank.
134 The first letter, X, indicates the data type as follows:
139 Z COMPLEX*16 or DOUBLE COMPLEX
141 The next two letters, YY, indicate the type of matrix (or of the most
142 significant matrix). Most of these two-letter codes apply to both real
143 and complex matrices; a few apply specifically to one or the other.
145 The last three letters ZZZ indicate the computation performed.
146 For example, SGEBRD is a single precision routine that performs a
147 bidiagonal reduction (BRD) of a real general matrix.
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