band_qr, a FORTRAN77 code which computes the QR factorization of a banded matrix, using routines in lapack() style, by Alfredo Remon, Enrique Quintana-Orti, Gregorio Quintana-Orti.
The code needs access to lapack() and blas(), which are usually available as precompiled system libraries.
The distinguishing features of these routines include the fact that
The routines, as originally developed, did not include a routine to solve linear systems A*x=b once the QR factors had been computed. A routine DGBBQRS has been written to carry out this computation in cases where the QR factors were computed using DGBBQR2, that is, the unblocked code.
This software library includes routines which are distributed under a separate license. Each such routine is individually marked with the following information:
Copyright (c) 2007, Universidad Jaume I de Castellon
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This software is provided by ''as is'' and any
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Code not covered under the above license is made available under the GNU LGPL license.
band_qr is available in a FORTRAN77 version and a FORTRAN90 version.
GEQP3, a FORTRAN77 library which contains the portion of the LAPACK library that carries out the QR factorization of a rectangular matrix.
LAPACK_EXAMPLES, a FORTRAN90 program which demonstrates the use of the LAPACK linear algebra library.
LINPLUS, a FORTRAN77 library which carries out some linear algebra operations on matrices in a variety of formats.
QR_SOLVE, a FORTRAN77 library which computes the least squares solution of a linear system A*x=b.
Certain routines in this library represent the work of:
Alfredo Remon, Enrique Quintana-Orti, Gregorio Quintana-Orti,
Dept. de Ingenieria y Ciencia de Computadores, Universidad Jaume I,
12.080 Castellon, Spain,
{gquintan,remon,quintana}@icc.uji.es