BAND_QR is a FORTRAN77 library which includes LAPACK-style routines to compute the QR factorization of a banded matrix, by Alfredo Remon, Enrique Quintana-Orti, Gregorio Quintana-Orti.
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 All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. * Neither the name of the
nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. This software is provided by ''as is'' and any express or implied warranties, including, but not limited to, the implied warranties of merchantability and fitness for a particular purpose are disclaimed. In no event shall be liable for any direct, indirect, incidental, special, exemplary, or consequential damages (including, but not limited to, procurement of substitute goods or services; loss of use, data, or profits; or business interruption) however caused and on any theory of liability, whether in contract, strict liability, or tort (including negligence or otherwise) arising in any way out of the use of this software, even if advised of the possibility of such damage.
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. The famous "backslash" operator in MATLAB is based on the same algorithm embodied in GEQP3.
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,
You can go up one level to the FORTRAN77 source codes.